Angular velocity/acceleration problem

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In the discussion about the motion of discs A and B, it is established that disc A, with a diameter three times that of disc B, has an angular velocity that is one-third that of disc B. Consequently, the angular acceleration of disc A is also one-third that of disc B. The relationship can be expressed as 3w_A = w_B and 3α_A = α_B. The participants agree that at the point of contact, the velocity is zero, supporting the conclusions drawn about their angular velocities and accelerations. Overall, the analysis confirms the proportional relationships between the two discs' angular properties.
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Suppose disc A and B are spinning against each other without slipping or translating. What can be said about the motion of disc A in terms of B? (select all that apply; if none apply, leave the boxes blank)
Disk A has a diameter of 3D while disk B has a diameter of D

a. Angular velocity magnitude of A will be 3 times greater than B

b. Angular velocity magnitude of A will be equal to B

c. Angular velocity magnitude of B will be 3 times greater than A

d. Angular acceleration magnitude of A will be 3 times greater than B

e. Angular acceleration magnitude of A will be equal to B

f. Angular acceleration magnitude of B will be 3 times greater than A





L= Iw angular momentum = moment of inertia x angular velocity
t=Ia torque = moment of inertia x angular acceleration




Seeing from the question I think at the moment of contact, the velocity would be 0. But if we are looking at angular velocity as a whole, disk A should have 1/3 the speed of disk B. If that's the case then the angular acceleration diffeence would've also been 3 times between A and B. Can someone verify it?
 
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3w_A = w_B , \ \ \ <br /> 3\alpha_A = \alpha_B

there's nothing else
 
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