pulleys A and B as shown in the figure The pulleys are

Last updated: 6/21/2023

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 until pulley B acquires an angular velocity of 10 rad s The belt does not slide on either of the pulleys Sliding alesent ja same 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 Solution ac Since the belt does not slide on the pulleys magnitudes of velocity and acceleration of any point on the belt are same as that of any point on the periphery of either of the two pulleys a ax ac ATA BB Substituting A we have 0 5 m r 0 8m and 0 8 rad s CATA 0 5 rad s 0 4 m s and ag TB B at t 0B 0Bo OB ac TB On 1 20