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A belt moves over two pulleys A and B as...

A belt moves over two pulleys A and B as shown in the figure. The pulleys are mounted on two fixed horizontal axles. Radii of the pulleys A and B are 50 cm and 80 cm respectively. Pulley A is driven at constant angular acceleration of 0.8 `"rad/s"^2` unitl pulley B acquries an angular velocity of 10 rad/s. The belt does not slide on either of the pulleys.

(a)Find the acceleration of a point C on the belt and angular acceleration of the pulley B.
(b) How long does it take for the pulley B to acquire an angular velocity of 10 rad/s ?

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