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A smooth ring A of mass m can slide on a...

A smooth ring A of mass m can slide on a fixed horizontal rod. A string tied to the ring passes over a fixed pulley B and carries a block C of mass `M(=2m)` as shown in figure. At an instant the string between the ring and the pulley makes an angle `theta` with the rod. a. Show that, if the ring slides with a speed v, the block descends with speed `v cos theta`, b. With what acceleration will the ring starts moving if the system is released from rest with `theta= 30^0`

A

The relation between magnitudes of accelerations of A and C is `a_C = a_A cos theta`

B

The The relation between magnitudes ofacceleration of A and c is `a_A = a_C cos theta`

C

The acceleration of the block is - `(2 g cos^2theta)/(1+2 cos^2theta)`

D

The tension in the string is `T = ma_A sec theta`

Text Solution

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The correct Answer is:
A, C, D
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