# A rope of negligible mass is wound round a hollow cylinder of mass 6 kg and radius 80 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 60 N ? What is the linear acceleration of the rope ? Assume that there is no slipping.

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A rope of negligible mass is wound round a hollow cylinder of mass 6 kg and radius 80 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 60 N ? What is the linear acceleration of the rope ? Assume that there is no slipping.

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Step 1

The moment of inertial of the cylinder about its geometric axis is

Step 2

Then the torque is

Step 3

So the angular acceleration can be calculated f...

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