(3) In a real experiment with setup of Figure 2, initially the disk is at rest,...
3. A disk 6.0cm in diameter and moment of inertia of 0.015kg-m’ initially at rest at t = 0, is spun up to 720-rpm over 6.0s about an axis through its center of mass. Assume the angular acceleration is constant. a) Find the angular velocity (rad/s) at 6.0s b) Find the angular acceleration (rad/s) c) Find the number of revolutions the disk spins through during that interval. d) What is the mass of the disk? e) What is the change...
A disk with moment of inertia 9.15 × 10−3 kg∙m^2 initially rotates about its center at angular velocity 5.32 rad/s. A non-rotating ring with moment of inertia 4.86 × 10−3 kg∙m^2 right above the disk’s center is suddenly dropped onto the disk. Finally, the two objects rotate at the same angular velocity ?? about the same axis. There is no external torque acting on the system during the collision. Please compute the system’s quantities below. 1. Initial angular momentum ??...
Two dlsks are located on an axle as shown In the figure below. The lower disk Is Initlally spinning at 24 rad/s, and the upper one Is not spinning. T upper dlsk then falls onto the lower dlsk, and they stlck together. m2 7.0 kg R1.0 m m 20 kg R1 2.0 m Initial position Final position (a) Is there a torque on the lower disk? Yes No On the upper disk? Yes No (b) Identify a system for which...
The disk shown above has radius 2.50m and mass of 10.0kg. It has an angular velocity of 9.50 rad/s at t 0s about its center O, moving in the CounterClockwise direction. It also experiences a Clockwise angular acceleration of 1.00 rad/s2. a) What is the disk's moment of inertia? b) What Kinetic Energy does the disk possess at t-0.00s and at t-6.00s? c) How long does it take for the disk to stop rotating momentarily? d) What is the disks'...
A cockroach of mass m lies on the rim of a uniform disk of mass 5.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.460 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/K0 of the new kinetic energy of the system to its initial...
A cockroach of mass m lies on the rim of a uniform disk of mass 5.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.410 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/K0 of the new kinetic energy of the system to its initial...
A cockroach of mass m lies on the rim of a uniform disk of mass 8.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.229 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/K0 of the new kinetic energy of the system to its initial...
A cockroach of mass m lies on the rim of a uniform disk of mass 6.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.479 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/K0 of the new kinetic energy of the system to its initial...
A solid disk of mass m = 9.2 kg and radius R = 0.2 m is rotating with a constant angular velocity of w = 38 rad/s. A thin rectangular rod with mass m2 = 3.7 kg and length L = 2R = 0.4 m begins at rest above the disk and is dropped on the disk where it begins to spin with the disk. 1) What is the initial angular momentum of the rod and disk system? kg-m2/s Submit...
A cockroach of mass m lies on the rim of a uniform disk of mass 3.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.483 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk systern? (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial...