A ring (mass 2 M, radius 2 R) rotates in a CCW direction with an initial angular

Question

A ring (mass 2 M, radius 2 R) rotates in a CCW direction with an initial angular speed 2 . A disk (mass 2 M, radius 2 R) rotates in a CW direction with initial angular speed 4 . 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.

Please label variables clearly and respond to all part of question. TYPED preferred.

A ring (mass 2 M, radius 2 R) rotates in a CCW direction with an initial angular speed 2 . A disk (mass 2 M, radius 2 R) rotates in a CW direction with initial angular speed 4 . 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 Lj of the ring+disk system? Write your answer in terms of MR2o. 16 Remember that Li (system) = Li (ring) + Li (disk), where L = la, for each object. MR2 Submit Answer Incorrect. Tries 1/3 Previous Tries What is the final angular velocity of of the ring-disk system? Write your answer in terms of . Submit Answer Tries 0/3

Explanation / Answer

a)
Li = L_ring + L_disk

= I_ring*w_ring = I_disk*w_disk

= (2*M)*(2*R)^2*2*w - (2*M*(2*R)^2/2)*2*w

= 8*M*R^2*w <<<<<<<------------------Answer

b) Apply conservation of angular momentum

Lf = Li

(I_ring + I_disk)*wf = 8*M*R^2*w

( 2*M*(2*R)^2 + 2*M*(2*R)^2/2)*wf = 8*M*R^2*w

12*M*R^2*wf = 8*M*R^2*w

wf = 0.67*w <<<<<<<------------------Answer

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