A ring (4 kg, r = 2 m) rotates in a CW direction with initial
angular velocity 20 s-1. A disk (4 kg, r = 2 m) rotates
in a CCW direction with initial angular velocity 60 s-1.
The ring and disk "collide" and eventually rotate together. Assume
that positive angular momentum and angular velocity values
correspond to rotation in the CCW direction.
A) What is the initial angular momentum Li of the
ring+disk system?
kg m2 s-1
| Tries 0/3 |
B) What is the final angular velocity ωf of the
ring+disk system?
s-1
| Tries 0/3 |
A ring (4 kg, r = 2 m) rotates in a CW direction with initial angular...
A ring (4 kg, r = 2 m) rotates in a CW direction with initial angular velocity 20 s-1. A disk (8 kg, r = 2 m) rotates in a CCW direction with initial angular velocity 60 s-1. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction. What is the initial angular momentum Li of the ring+disk system? What is the final angular velocity...
A ring (mass 4 M, radius 1 R) rotates in a CCW direction with an initial angular speed 2 ω. A disk (mass 4 M, radius 1 R) rotates in a CW direction with initial angular speed 4 ω. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction. 1. What is the initial angular momentum Li of the ring+disk system? Write your answer in...
A ring of mass 2 M and radius 1 R rotates in a CCW direction with initial angular speed 2 ω. A disk of mass 4 M and radius 1 R rotates in a CW direction with initial angular speed 4 ω. The ring and disk "collide" and eventually rotate together. Assume that positive angular momentum and angular velocity values correspond to rotation in the CCW direction. What are the moments of inertia for the ring and disk? Write your...
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 ??...
(3) 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...
1a. A cockroach of mass m lies on the rim of a uniform
disk of mass 9.00 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 0.456 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...
A 85.7 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.59 rad/s. A monkey drops a 8.67 kg bunch of bananas vertically onto the platform. They hit the platform at of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.7 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with...
A 85.7 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.59 rad/s. A monkey drops a 8.67 kg bunch of bananas vertically onto the platform. They hit the platform at of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 20.7 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with...
A solid, uniform disk of mass 1.00 kg and radius .250m rotates with initial angular velocity of +26.3 rads/s about a frictionless vertical spindle through the center of the disk. A flat rectangular steel bar of mass 0.850 kg, length 0.400m, and width 0.050 M is dropped onto the disk so that the spindle passes through the center of the bar and is perpendicular to the plane of the bar. Assuming that there are no external torques on the system...
A uniform solid disk of mass m = 3.06 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 6.09 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg · m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim?...