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Q.

A spool, initially at rest, is kept on a frictionless fixed inclined plane, making an angle θ=37 with the horizontal. The mass of the spool is 2kg and it is pulled by a string as shown with a force of T=10N. The string connecting the spool and the pulley is initially horizontal. Find the initial acceleration of the spool on the incline. Express your answer in m/ s2.

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answer is 2.

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Detailed Solution

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mgsinθTcosθ=maa=2m/s2

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A spool, initially at rest, is kept on a frictionless fixed inclined plane, making an angle θ=37∘ with the horizontal. The mass of the spool is 2kg and it is pulled by a string as shown with a force of T=10N. The string connecting the spool and the pulley is initially horizontal. Find the initial acceleration of the spool on the incline. Express your answer in m/ s2.