9. A disc is rotating about a axis through the center at a constant angular velocity...
A metal disc spins with an angular velocity ω0 about its center. A second disc (initially stationary) is dropped on top of the first disc. The second disc is made of the same material as the first but has only half the diameter (so its mass will also be smaller). (a) Show that the moment of inertia of the second disc is 1/16th the moment of inertia of the first. (b) State why the angular momentum of the system (the...
A uniform solid disc, whose moment of inertia is unknown, is rotating at an angular velocity of 500 rpm. Later it falls on another solid disc that is at rest and that its moment of inertia is of 2.50 kg * m2. The final speed with which both rotate is 170 rpm. Determine the moment of inertia of the disc.
A disk with a bug stuck on the disk's outer edge is rotating with a constant angular velocity. The bug flies off. Will the angular speed of the disk increase/decrease/remain the same and why?
A merry-go-round is rotating about its axis by 20.0rpm when a student with mass of 75.0 kg is at 1.0 m from the center. He starts moving toward the edge. Find angular velocity of total system when student is on the edge of merry-go-round. Merry-go-round has mass of 100 kg and radius of 3.0m and moment of inertia of disk is l= 1/2 MR2. Moment of inertia of boy is mR2. (use conservation of angular momentum)
A rotating disk with a hoop is moving with a constant angular velocity. Derive the equation for the moment of inertia.
A rotating disk with a hoop is moving with a constant angular velocity. Derive the equation for the moment of inertia.
A rotating disk with a hoop is moving with a constant angular velocity. Derive the equation for the moment of inertia.
A 3.9-m-diameter merry-go-round is rotating freely with an angular velocity of 0.80 rad/s . Its total moment of inertia is 1350 kg⋅m2 . Four people standing on the ground, each of mass 68 kg , suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now?
7) A turntable with moment of inertia IT = 0.042 kg m2 and radius R = 0.24 m is rotating with ω = 0.68 rad/s. A mouse of mass m = 0.053 kg is standing on the edge of the turntable. a) What are the total moment of inertia and the total angular momentum of this system? b) If the mouse walks towards the center of the turntable, does the angular velocity increase or decrease? Explain the answer conceptually. c)...
A 4.5-m-diameter merry-go-round is rotating freely with an angular velocity of 0.84 rad/s . Its total moment of inertia is 1700 kg⋅m2 . Four people standing on the ground, each of mass 68 kg , suddenly step onto the edge of the merry-go-round. What is the angular velocity of the merry-go-round now? What if the people were on it initially and then jumped off in a radial direction (relative to the merry-go-round)?