A 15N bucket is hung from a pulley of mass 4kg and radius 0.33m. If the frictional torque is equal to 1.10Nm, calculate the angular acceleration of the pulley and the linear acceleration of the bucket. Assume the rope holding the bucket has negligible mass and does not slip or stretch.
Given that, Radius of pulley
Mass of the pulley is 
Frictional torque.
Torque on the pulley is 
Where
is the tension in the
rope,
As
bucket is
hanging from the rope, tension in the rope is 

Considering the pulley to be a solid uniform disk,

Angular acceleration of the pulley is
Linear acceleration of the bucket is
A 15N bucket is hung from a pulley of mass 4kg and radius 0.33m. If the...
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The bucket and the massive pulley
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In the figure below the mass is known, M, as is the mass and radius of the large pulley (My, R). mg a) Calculate the magnitude of the tension in the rope, as well as the acceleration of the block. The small pulley is negligible. b) If the system is released from rest, calculate the angular velocity of the pulley and the linear velocity of the mass after a time At.