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The cylinder B is raised by the hoist motor at A. The motor is connected to the double pulley C by a no-slip belt.

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The cylinder B is raised by the hoist motor at A. The motor is connected to the double pulley C by a no-slip belt. The pulley has an inner hub D which is fixed to C and turns with it. The motor starts from rest and accelerates with an angular acceleration A=2.8t.75, where t is the time in seconds. (a) Determine the time required for A to reach an angular velocity of 120 rpm. (b) How many revolutions has the motor A and the pulley C rotated in the time calculated in part (a)? (c) What is the magnitude (not direction) of the acceleration of point P' on the hub D at this point? 50 mm A 75 mm 150 mm (d) How far in metres has the cylinder B been raised for the time calculated in (a) and what is its velocity? C B

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