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moment of interia

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Wize University Physics Textbook (Master) > Angular / Rotational Motion

Moment of Inertia

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What does the moment of inertia describe?
More Moment of Inertia Questions:
A horizontal platform in a shape of a disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a mass of 200 kg and radius of 3.0 meters. A student with mass 80 kg, walks from the edge towards the center of the platform.
a) Find the moment of inertia of the disk.
b) If the angular speed of the disk is 2 rad/s, when the student moves another meter towards the center, find their angular speed.
Moment of inertia is same as linear inertia
Instead of mass (used in translational motion), what do we use in the equation for rotational kinetic energy instead?
A mass-less string is wrapped several times around a Cylinder . If the free end of the string is held in place and the Cylinder is released form rest, the string unwinds and the Cylinder descends. What is the acceleration of the Cylinder ?
A thin uniform rod (length=1m, mass = 5kg) is pivoted about a horizontal, frictionless pin through one end of the rod. The rod is released when it makes an angle of 60°60\degree above the horizontal. What is the angular acceleration of the rod at the instant it is released? (pick the closest answer)
Two thin Hoops each of mass M and radius of R are joined together as shown in the figure. What is the moment of inertia for rotations in the plane of the page about pint O?
A 10 kg mass is hanging from a rope wrapped around a pulley. The falling mass causes the pulley to rotate. The mass of the pulley is 2 kg. What is the acceleration of the falling mass, and what is the tension of the rope?
Robin Hood and Marian decide to build a snowmen at the edge of a cliff.  The snowman consists of three spheres with radii 90 cm, 60 cm and 30 cm, and the density of snow is 300kg/m3300kg/m^3.  Little John is a jerk and pushes the snowman over the cliff.  The snowman begins to rotate around its center of mass as it falls.  What is the moment of inertia of the snowman as it’s falling? (For a solid sphere, ICM=25MR2 , and  V=43πR3I_{CM}=\frac{2}{5}MR^2\ ,\ and\ \ V=\frac{4}{3}\pi R^3, )
A potter's wheel of mass 7.00 kg and radius 0.650 m spins about its central axis. A 2.10 kg lump of clay is dropped onto the wheel at a distance 0.410 m from the axis. Calculate the final rotational inertia of the system.
Rotational inertia depends on the force of gravity
The moment of inertia of a body depends on