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Question

# Find the acceleration of block of mass m (in m/s2) along the plane (w.r.t ground), if the acceleration of block of mass M is b m/s2. Assume the surface to be smooth and string inextensible.

A
b
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B
b2
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C
3b2
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D
2b
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Solution

## The correct option is C 3b2The given system can be reframed as shown Let ap be the acceleration of the mass m down the plane From constrained condition and using intercept concept, we have ..L1+..L2+..L3+..L4=0 ⇒ −b+0−b+b cos θ+ap=0 ⇒ap=2b−b cos θ As θ=60∘ ⇒ ap=2b−b2=3b2

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