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Force of friction

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Wize University Physics Textbook (Master) > Newton's Laws of Motion: Forces and Dynamics

Friction

4 Activities

Wize University Physics Textbook (Master) > Newton's Laws of Motion: Forces and Dynamics

Tension

3 Activities

A 400-gram package lying on a horizontal surface is attached to a horizontal string that passes over a smooth pulley. When a mass of 200 grams is attached to the other end of the string, the package is on the point of moving. Find the coefficient of friction.

More Friction Questions:
Kinematics: Friction
Alice decides to push her little brother Bob on ice. Bob weights 3030 kg. Initially, the force Alice is applying on Bob is not enough to start the motion. Alice gradually increases the force on Bob until he starts to slide. After that, Alice keeps pushing Bob (with the same force that she was applying when Bob started to move) for the next 33 s and then lets him go. Bob is going to stop a little bit later. The coefficient of kinetic friction between Bob's shoes and ice is 0.10.1 and the coefficient of static friction between his shoes and ice is 0.20.2.
a) Find Bob's speed at the moment when Alice lets him go.
b) How long does it take for Bob to stop completely after Alice lets him go?
Kinematics: Friction
Alice decides to push her little brother Bob on ice. Bob weights 3030 kg. Initially, the force Alice is applying on Bob is not enough to start the motion. Alice gradually increases the force on Bob until he starts to slide. After that, Alice keeps pushing Bob (with the same force that she was applying when Bob started to move) for the next 33 s and then lets him go. Bob is going to stop a little bit later. The coefficient of kinetic friction between Bob's shoes and ice is 0.10.1 and the coefficient of static friction between his shoes and ice is 0.20.2.
a) Find Bob's speed at the moment when Alice lets him go.
b) How long does it take for Bob to stop completely after Alice lets him go?
trapezoid and friction
Two blocks are attached by a rope over a pulley and are placed on an incline as shown below. A force F is applied to prevent the top block from moving toward the right. If the static and kinetic coefficients of friction of all surfaces are 0.15 and 0.08 respectively, what is the minimum magnitude of F required to prevent being pulled to the right? (Hint: always start these problems with a free-body diagram!)
If the coefficient of static friction between the block and the ramp is 0.40.4, find the minimum angle such that the block will slide down the slope.
Friction and a spring
Practice: Friction and a Spring
A spring with a spring constant k=340 N/m is used to launch a 1.5kg block along the horizontal surface whose coefficient of sliding friction is 0.27. If the spring is compressed 18cm, how far does the block slide?
Kinematics: Friction
Alice decides to push her little brother Bob on ice. Bob weights 3030 kg. Initially, the force Alice is applying on Bob is not enough to start the motion. Alice gradually increases the force on Bob until he starts to slide. After that, Alice keeps pushing Bob (with the same force that she was applying when Bob started to move) for the next 33 s and then lets him go. Bob is going to stop a little bit later. The coefficient of kinetic friction between Bob's shoes and ice is 0.10.1 and the coefficient of static friction between his shoes and ice is 0.20.2.
a) Find Bob's speed at the moment when Alice lets him go.
b) How long does it take for Bob to stop completely after Alice lets him go?
Practice: Pulley
You set up a pulley system as shown. There is kinetic friction acting on the top block (μk=0.175\mu_k=0.175) which has mass 4.5 kg. The vertical block has mass 10.0 kg.
A block is sliding on gym floor. The coefficient of static and kinetic friction between the block and the floor are 0.400.40and 0.0700.070 respectively.
a) Draw and label a FBD for both the initial state and the final state.
b) If the block is initially traveling at 3.0 m/s3.0\ m/s, find the total distance the block must travel to stop.
Forces: Friction
Consider a hardcover textbook that you are pressing against a wall. Your pushing force against the book is horizontal, and perpendicular to the wall. The book has a mass of 2.0 kg and the coefficients of kinetic and static friction between the book and the wall are 0.30 and 0.40, respectively.
a) How much force do you have to apply to just barely keep the book from falling?
b) How much force would you have to apply if you were instead pushing upwards and into the wall, at an angle of 20 degrees above horizontal?
Driving in a circle
You are driving around a sharp corner, going clockwise. There is a box in the middle of your back seat. If you are driving fast enough, the box will slide to a side of your car. Which side will it slide to? Why?
(Hint: even if questions do not ask you to draw a sketch or picture, you should draw one anyway! It makes life easier for both you and the exam marker.)
Practice: Box in back of truck
You are driving a flatbed truck. A large box is on the flatbed, at rest relative to the truck. Driving at a speed of 120 km/h, you suddenly need to hit the brakes, slowing down to 100 km/h in 0.64 seconds, because somebody cut you off.
a) What must the coefficient of static friction be to ensure the box does not slip? Is this a realistic coefficient of friction?
b) What does the mass need to be? (Does it matter?)
Newton's third
Let m = 2.50kg and M = 3.00kg. The following situation is given:
The coefficient of kinetic friction between masses is μk,Mm =0.840\mu_{k,Mm}\ =0.840 and between M and the ground is μk,MG = 0.230\mu_{k,MG}\ =\ 0.230.
The coefficient of static friction between masses is μs,Mm=0.950\mu_{s,Mm}=0.950 and between M and the ground is μs,MG =0.320\mu_{s,MG}\ =0.320.
Alice and Bob, arguing and fighting over the usage of the imperial system, are facing each other and pushing. Alice is facing +x, and Bob is facing -x. They are both on a slippery surface and are sliding along together at a steady 4m/s. Which of the following statements are true?
Two cats are on a slanted roof, and they are both not moving. Cat 1 is 2.0kg, and Cat 2 is 3.0kg. Which cat is experiencing the highest frictional force?
I over-packed a box and it weighs 50kg. I'm pulling it across a rough surface at an angle of 45 degrees above the horizontal with a force of 280N. The coefficient of kinetic friction of the floor is 0.5. I pull for 10 seconds, the box speeds up from rest, I release it and it continues to slide to a halt. What is its maximum speed?
Friction and a spring
A spring with a spring constant k=340 N/m is used to launch a 1.5kg block along the horizontal surface whose coefficient of sliding friction is 0.27. If the spring is compressed 18cm, how far does the block slide?
Tugboats (defining systems)
A tugboat of mass 13300 kg has an engine that exerts a force of 112 kN forward while it pulls a much larger boat behind it. This system experiences 16.1 kN of forces resisting motion (think of this as the "friction" between the boat and the water, although there would be more than friction going on in this case).
a) If the acceleration of the system is 0.700 m/s2m/s^2, what is the mass of the larger boat?
b) Calculate the force exerted by the tugboat on the larger boat, assuming that 14.7 kN of the resistive forces are experienced by the larger boat.
The magnitude of the force of static friction is linearly proportional to the applied external force.
work done by force of friction
A 5 kg block is moved up a 30 degree incline by a force of 50 N, parallel to the incline. The coefficient of kinetic friction between the block and the incline is .25. How much work is done by the 50 N force in moving the block a distance of 10 meters? What is the total work done on the block over the same distance?
The mass of the bar is 4 kg. The coefficient of static friction between the bar and the floor is 0.3. Neglect friction between the bar and the wall.
(a) If α=20°\alpha = 20\degree what is the magnitude of the friction force exerted on the bar by the floor?
(b) What is the maximum angle α\alphafor which the bar will not slip
Work done by friction
When a body slides against a rough horizontal surface, the work done by friction is ___________
An object with mass of 4 kg is moving on a frictionless surface in X direction. It enters a rough region with μ=0.3\mu=0.3. If the velocity of the object is 5msı^5\frac{m}{s}\hat\imath , a) what will be its displacement in the rough region? b) What is its velocity half-way through the region? c) Is the motion speeding up or slowing down?
In the following figure, m2 is located on a frictionless surface. If the coefficient of static friction between m1 and m2 is μ\mu,
what is the minimum force required so that m1 and m2 remain stationery?
trapezoid and friction
Two blocks are attached by a rope over a pulley and are placed on an incline as shown below. A force F is applied to prevent the top block from moving toward the right. If the static and kinetic coefficients of friction of all surfaces are 0.15 and 0.08 respectively, what is the minimum magnitude of F required to prevent being pulled to the right? (Hint: always start these problems with a free-body diagram!)
The Work-Energy Theorem: Friction
A car parked on a 32- degree steep hill loses its traction and starts to come down. It travels 160 meters on the hill until it reaches speed of 72 km/h. What is the kinetic coefficient of friction between the car and the surface?
Practice: Friction
A 10-kg box is initially at rest on flat surface. A horizontal force of 28 Newton is applied on it. The static and kinetic coefficient of friction between the box and the floor is 0.32 and 0.18. What is the magnitude of the friction force?
Practice: Alice Pushes Her Brother Bob
Alice decides to push her little brother Bob on ice. Bob weights 30kg. Initially, the force Alice is applying on Bob is not enough to start the motion. Alice increases the force on Bob gradually until he starts to slide. After that, Alice keeps pushing Bob with the same force that she were applying when Bob started moving for the next 3s and then lets him go. Bob is going to stop a little bit later. The coefficient of kinetic friction between Bob's shoes and ice is 0.10.1and the coefficient of static friction between his shoes and ice is 0.2.
a) Find speed of Bob when Alice letting him go.
A bus moving at 40 km/h negotiates a 130m radius banked turn designed for 60 km/h. What coefficient of friction is needed to keep the bus on the road?
Uniform Circular Motion
A 1000kg car rounds a circular track with radius 10m. If μsmax⁡=0.81,\mu _{s\max }=0.81,what is the maximum speed the car can travel?
Practice: Condition of Static Equilibrium
A 3.0 m ladder of mass 12 kg rests against a frictionless wall. The coefficient of friction between the ladder and the floor is 0.60. What is the smallest angle that the ladder can make with the ground if the ladder is to remain at rest? (in degrees) Neglect the friction between the ladder and the wall.
a) Dave is trying to push a 60kg box up a greased ramp inclined 30°, pushing with a force of 350N. He pushes the box perfectly horizontally, rather than up the ramp, because he’s not terribly bright. What is the box’s acceleration?
b) If Dave forgot his grease at home, the ramp would have μsmax=0.10\mu_{\rm smax}=0.10 and μk=0.05.\mu_k=0.05. He still insists on pushing the box horizontally, with the same force. What would the box’s acceleration be now?
Dave is driving his truck, now loaded with his 60kg box full of precious and delicate Ming vases. Unfortunately, he did not secure the box in any way to the bed of the truck, thinking that his truck’s filthy floor was `sticky enough' to stop the box moving. μsmax=0.45\mu_{\rm smax}=0.45 between the truck floor and the box. He drives at a constant 20 m/s and sees a red light coming up. What is the minimum distance he needs to give himself to stop so that the box does not move?
I over-packed a box and it weighs 50kg. I'm pulling it across a rough surface at an angle of 45 degrees above the horizontal with a force of 280N. The coefficient of kinetic friction of the floor is 0.5. I pull for 10 seconds, the box speeds up from rest, I release it and it continues to slide to a halt. What is its maximum speed? How long until it stops? What is the box's total displacement?
Force: Friction calculations
Alice is pushing her little brother, Bob, on ice. Alice weights 35 kg35\ kg while her little brother only weights 15 kg15\ kg. The coefficient of kinetic friction between Bob's shoes and ice is 0.10.1and they have acceleration equal to 2 ms22\ \frac{m}{s^2}.
a) Find the force that Alice exert on Bob.
b) Find the coefficient of static friction between Alice's shoes and ice.
If the coefficient of static friction between the block and the ramp is 0.40.4, find the minimum angle such that the block will slide down the slope.
A 5 kg5\ kgblock is being pulled along at table by a cable and is accelerating along the surface at 2[ms2]2\left[\frac{m}{s^2}\right]. The coefficient of kinetic friction between the block and the table is 0.100.10. Draw the
system then find the tension in the cable. Does the force in the cable change if the system is frictionless? Why or why not?
Forces: Friction
A block is sliding on gym floor. The coefficient of static and kinetic friction between the block and the floor are 0.40.4and 0.070.07 respectively. If the block is initially traveling at 3 m/s3\ m/s find the total distance the block must travel to stop. Draw and label a FBD for both the initial state and the final state.
Forces: Friction
A professional mover drags a 20kg mattress across the floor. The mover exerts a force of 50 N at 30° to the horizontal. The coefficient of kinetic friction is 0.100. What is the acceleration of the mattress?
Vehicles must be able to traverse a curve of radius 60.0 m safely at speeds up to 80 km/h. If the average vehicle weighs 1000 kg, what minimum coefficient of friction is required to make this possible?
More Tension Questions:
Two blocks are connected by a light string which passes over two pulleys as shown. The string and the pulleys are massless and there is no friction. A scale located between two pulleys. The heavier block has a mass of 5kg, and the lighter block has a mess of 3kg. What is the reading on the scale (Pick the closest answer)
Two blocks of mass m and M are connected via pulley with a configuration as shown. The surfaces are frictionless. If M=15 kg and m=8 kg and θ1=30 and θ2=60\theta_1=30\ {\rm and}\ \theta_2=60
Find the acceleration
What is the tension in the string?
Two strings on a spinning rod - solving
Practice: Two Strings on Spinning Rod
The 4.00-kg block in the figure is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the diagram and the tension in the upper string is 80.0 N.
Suspended masses
Three masses are suspended from each other as shown. Assume they have equal masses (they are given numbers 1, 2, and 3 for identification purposes only). Which rope has the highest tension? Which has the lowest tension? Why?
Method of sections + example
Determine the forces F1, F2, F3 shown below. The structure is fixed at the left to a wall. All angles are either 45 or 90 degrees. Use positive numbers for members in tension and negative numbers for members in compression.
Practice: Two masses on a pulley
If M = 10kg and m = 5kg, find the net acceleration of the masses. Assume the pulley and strings are frictionless and of negligible mass.
A 5 kg5\ kgblock is being pulled along at table by a cable (horizontally) and is accelerating along the surface at 2[ms2]2\left[\frac{m}{s^2}\right]. The coefficient of kinetic friction between the block and the table is 0.100.10.
a) Sketch the system.
b) Find the tension in the cable.
Consider the truss shown below. (On the left is a sturdy wall.) All triangles are 45-45-90 triangles.
a) Label each member as either being in compression, in tension, or a zero force member.
b) Determine the value of F1, F2, and F3.
A 10 kg mass is hanging from a rope wrapped around a cylindrical pulley. The falling mass causes the pulley to rotate. The mass of the pulley is 3 kg. What is the acceleration of the falling mass, and what is the tension of the rope?
A horizontal rod of length L and mass M has a mass m at one end. It is supported by pivot P on the wall at the left end and a cable at angle θ\theta of at the other end as shown.
a) Find the tension in the cable.
b) If the cable snaps, with what angular velocity will the rod swing down and slam into the wall? (That is, what will the angular velocity be as it collides with the wall?)
Tension and centripetal force
The 4.00-kg block in the figure is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the diagram and the tension in the upper string is 80.0 N.
Two strings on a spinning rod - setup, approach
The 4.00-kg block in the figure is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the diagram and the tension in the upper string is 80.0 N.
Set up the problem (a free-body diagram, find unknown angles and distances, define coordinates) and then go to the next activity. Ask yourself: how do we deal with the rpm quantity in part (b)?
Practice: Pulley
You set up a pulley system as shown. There is kinetic friction acting on the top block (μk=0.175\mu_k=0.175) which has mass 4.5 kg. The vertical block has mass 10.0 kg.
Method of joints example
Consider the structure below. The triangles are equilateral. Label the members with letters A through G. A and B are the top two members, from left to right; C, D, E, F are the vertical members, left to right; G is the bottom member.
a) Without doing any calculations, label each member as being either in tension or compression.
b) Determine F1 and F5 in terms of F.
Forces: Torque
A wooden beam of mass 150 kg and length 10m is suspended from a horizontal wall support at the left end and connected by a cable to the same wall at the right end. The cable makes an angle of 45º with the horizontal. A person of mass 42 kg stands on the beam 2.5 m from the left wall. A 25 kg child also rests on the beam, at 7m from the left wall. Calculate (a) the tension in the rope and (b) the magnitude of the force exerted by the wall on the beam.
(Hint for part (b): there are two components. We want the magnitude, but you still need to consider both parts to find the correct magnitude.)
A tent post of length L is held up by two wires connected to the ground. If the tension in the right wire is 30.0 N, what is the tension in the left wire?
A camper hangs a 100kg pack to two separate trees. The two pieces of rope he uses are of different lengths, so the angles of depression (below horizontal) are 30o and 60o. Find the tension in each rope.
A 700kg elevator accelerates upward at 5m/s2, pulled by a cable of negligible mass. Find the tension force in the cable.
Practice: Pulley (no friction)
A giant ice cube of mass 400 kg is on an icy surface (there is no friction). The ice cube is connected by a weightless pulley to a mass that is hanging off the side of the surface below. You do not know the mass of the second object, but you want to measure it.
You release the ice cube from rest and let it slide. It begins to move, accelerating at a constant rate, and you measure that it travels 7.2 cm in 10 seconds. What is the mass of the object?
A camper hangs 100.0kg pack between two trees using two separate ropes of different lengths. One rope hangs at 60.0o below the top of the trees, and the other hangs at 30.0o. Find the tension in each rope.
A 5 kg5\ kgblock is being pulled along at table by a cable and is accelerating along the surface at 2m/s2m/s. The coefficient of kinetic friction between the block and the table is 0.100.10. Draw the
system then find the tension in the cable. Does the force in the cable change if the system is frictionless? Why or why not?
Two masses on a pulley on a slope
Two blocks of mass m and M are connected via pulley with a configuration as shown. The surfaces are frictionless. If M=15 kg and m=8 kg and θ1=30 and θ2=60\theta_1=30\ {\rm and}\ \theta_2=60,
a) Find the acceleration of the system.
b) What is the tension in the string?
Practice: Pulley
You set up a pulley system as shown. There is kinetic friction acting on the top block (μk=0.175\mu_k=0.175) which has mass 4.5 kg. The vertical block has mass 10.0 kg.
(three significant numbers)
Let's say Bob weighs 50kg and Joe weighs 100kg and they are playing a game of tug of war, where the tension in the rope is 50N. Ignore friction to solve for the acceleration of the two men.
Two masses on a pulley
If M = 10.0kg and m = 5.0kg, find the net acceleration of the masses. Assume the pulley and strings are frictionless and of negligible mass. Enter your answer with 2 significant digits, units are m/s2.
Two blocks of mass m1=2kg,m2=4kgm_1 = 2kg, m_2 = 4 kg are connected over a pulley as shown below. The pulley has mass M = 1kg and radius R= 2 cm. What is the acceleration of the blocks and the tension in the rope on either side of the pulley? (HINT: The tension must be different or the pulley would not rotate.)
Inclined pully system
Two blocks are connected by a pulley system. One block (10 kg) rests on a plane inclined at 35º to the horizontal, while the other block (5.0 kg) hangs off the edge of the incline. The coefficient of friction between the block and the table is 0.30. The blocks are released from rest, what are their accelerations and what is the tension?
1) Two masses are attached together by a rope as shown in the picture. If the system is released from the rest, what is the direction of the motion and acceleration for each mass? (Imagine there is no friction between masses and the inclined surface) M2 = 2M1 = 2kg
Two blocks of mass m and M are connected via pulley with a configuration as shown. The surfaces are frictionless. If M=15 kg and m=8 kg and θ1=30 and θ2=60\theta_1=30\ {\rm and}\ \theta_2=60
Find the acceleration
What is the tension in the string?
A 700kg elevator accelerates upward at 5m/s2, pulled by a cable of negligible mass. Find the tension force in the cable. What happens if the elevator accelerates downward?
A camper hangs a 100-kg pack between two trees using separate ropes of different lengths, as shown in the figure. Find the tension in each of the ropes.
A round spherical steel ball is hanging from ceiling via two ropes as shown below. Ropes are identical and maximum tension they tolerate is 150 Newton. Find maximum weight of the ball that these ropes can handle without breaking.
An object with mass M is hanging from a massless ring that is supported by two identical ropes attached to vertical walls. The ropes can tolerate maximum tension of 1200 N. What is maximum value for M that is allowed without breaking the ropes?
A) 162 kg B) 136 kg C) 112 kg D) 151 kg
Let's say Bob weighs 50kg and Joe weighs 100kg and they are playing a game of tug of war, where the tension in the rope is 50N. Ignore friction to solve for the acceleration of the two men.
Forces: Tension
A 700kg elevator accelerates upward at 5m/s2, pulled by a cable of negligible mass. Find the tension force in the cable.
If M = 10kg and m = 5kg, find the net acceleration of the masses. Assume the pulley and strings are frictionless and of negligible mass.
A camper hangs 100kg pack between two trees using two separate ropes of different lengths. Find the tension in each rope.
Two blocks are connected by a light string which passes over two pulleys as shown. The string and the pulleys are massless and there is no friction. A scale located between two pulleys. The heavier block has a mass of 5kg, and the lighter block has a mess of 3kg. What is the reading on the scale (Pick the closest answer)
A block of mass 4 kg is suspended on two strings between two walls. The angles each string makes below the horizontal is 30°. What is the tension forces in each string? Provide an answer in Newtons and 1 decimal place.
Force of tension
A monkey of mass 10kg climbs up a vertical string suspended from a hook with an acceleration of 2m/s2 . Find tension in the string.