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Question: A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. If the rop...

A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. If the rope is pulled with a force of 30 N, then the linear acceleration of the rope is

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Answer
Explanation

Solution

From above solution

α=25rads−2\alpha = 25 \mathrm { rads } ^ { - 2 }

Linear acceleration,

a=αR=(25rads−2)(40×10−2 m)\mathrm { a } = \alpha \mathrm { R } = \left( 25 \mathrm { rads } ^ { - 2 } \right) \left( 40 \times 10 ^ { - 2 } \mathrm {~m} \right)

=10 m s−2= 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }