A spool, initially at rest, is kept on a frictionless incline making an angle θ = 3 7 ∘ with the horizontal. The mass of the spool is 2kg and it is pulled by a string as shown with a force of T = 10 N

Question

A spool, initially at rest, is kept on a frictionless incline making an angle $θ = 3 7^{\circ}$ with the horizontal. The mass of the spool is 2kg and it is pulled by a string as shown with a force of $T = 10 N$ . 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 $m / s^{2}$ .

CT46 n4 diagram

TestHub · Accepted Answer

Along the incline, mg sin37°-T cos37°=ma. For m=2 kg, T=10 N and g=10 m/s², a=2 m/s².

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