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Simple harmonic motion: Pendulum

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Wize University Physics Textbook (Master) > Periodic Motion: Oscillations

Vertical Springs

4 Activities

Wize University Physics Textbook (Master) > Periodic Motion: Oscillations

Basic Concepts of Oscillation

4 Activities

In two separate experiments a pendulum and a mass-spring are moved from the Earth to the moon surface where gravitational acceleration is 16\frac{1}{6}of the Earth.
a) How does the amplitude of oscillations change for each system?
b) How does the frequency of oscillations change for each system?

Select four options below (one answer to each question, for the pendulum and for the spring).
More Vertical Springs Questions:
A mass of 100 g is attached to a vertical spring and it is at equilibrium. The mass is lowered by 10 cm and is released to oscillate. What is the spring constant if it takes 1 s to go from the lowest position to highest position in this oscillation?
Vertical spring
The springs AA, BBand CChave the same initial length. If kA=kC=0.5kBk_A=k_C=0.5k_B,
a) Find the values of mBm_B, mCm_C.
b) Rank the period of oscillations.
Hooke's Law and Simple Harmonic Motion
A stretchy rope suspended from the ceiling is 59 cm long when a 70 N weight hangs from it, but is 80 cm long when a 205 N weight hangs from it. Determine the spring constant “k” of the rope.
Practice: Dropping putty on a spring frame
A 0.15 kg frame, when suspended from a coil spring, stretches the spring 0.070 m. A 0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm (as shown). Find the maximum distance the frame moves downward from its initial position.
Simple Harmonic Motion: Mass-Spring system
The springs AA, BBand CChave the same initial length. If kA=kC=0.5kBk_A=k_C=0.5k_B,
a) Find the values of mBm_B, mCm_C. Note that mass A is 1.0 kg.
b) Rank the period of oscillations for the three masses.
Simple Harmonic Motion: Mass-Spring
A mass of 200 g200\ gis attached to a free vertical spring with k=5 Nmk=5\ \frac{N}{m} Then, it is set to oscillate with an initial downward velocity of 2 m/s2\ m/sfrom its original hanging position. Find the amplitude of this oscillation.
(Hint: first, use Newton's second law to determine the initial hanging position.)
Vertical Springs Concept Clarifier
A spring with k=50 Nmk=50\ \frac{N}{m}and length 10 cm10\ cmis hanging from the ceiling (the spring is massless).
In this problem, to keep the math a bit simpler, feel free to use g=10m/s2g=10 m/s^2. (No penalty for using 9.81 if you want, though.)
a) If we attach a 50 g50\ gmass to the spring and then let it fall down, by how much does the spring stretch?
A mass of 100gr is attached to a vertical spring and it is at equilibrium. The mass is lowered by 10cm and is released to oscillate. What is the spring constant if it takes 1s to go from the lowest position to highest position in this oscillation.
Hooke's Law and Simple Harmonic Motion
A stretchy rope suspended from the ceiling is 59 cm long when a 70 N weight hangs from it, but is 80 cm long when a 205 N weight hangs from it. Determine the spring constant “k” of the rope.
Vertical spring
The springs AA, BBand CChave the same initial length. If kA=kC=0.5kBk_A=k_C=0.5k_B,
a) Find the values of mBm_B, mCm_C.
b) Rank the period of oscillations.
New Practice Question
A mass of 200gr is attached to a free vertical spring with k=5 N/m and natural length of 20cm and is set to oscillate with an initial downward velocity of 2m/s at the moment of attachment. Find the amplitude of this oscillation.
More Basic Concepts of Oscillation Questions:
Practice: Spring and mass system
A block of unknown mass mmis attached to a horizontal spring which has a spring constant k=4.8 Nmk=4.8\ \frac{N}{m}. It is then set oscillating on a frictionless surface with an amplitude A=12 cmA=12\ cm. The position and velocity of the block at t=0t=0are measured to be +6.0 cm+6.0\ cmand +30 cms+30\ \frac{cm}{s}, respectively.
The motion can be modeled as an equation in the form x(t)=Acos⁡(ωt+φ)x\left(t\right)=A\cos\left(\omega t+\varphi\right).
The displacement function of a simple harmonic motion over time is shown below. Write the equation of the motion.
Simple Harmonic Motion: Pendulum
You have landed on an unknown planet. You have a simple pendulum with a length of 25.0 cm25.0\ cm. You measure the frequency of oscillation of the pendulum to be 0.5 Hz0.5\ Hz.
a) What is the gravitational acceleration on this planet? (in m/s^2)
b) What would be the period of the oscillation if you used this pendulum on Earth? (in seconds)
A mass is on a spring. The spring is stretched and then released so that the mass bounces back and forth. There are no other forces in the system. At what point is the block moving the fastest?