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Question

# Find the acceleration of B if the acceleration of A is 4 m/s2 . (B is only allowed to move in vertical direction)

A
23 m/s2
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B
43 m/s2
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C
23 m/s2
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D
43 m/s2
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Solution

## The correct option is B 4√3 m/s2By the condition of wedge constrained, acceleration along the perpendicular direction to the common interface should be equal. From the figure shown above, we can write the components of acceleration of A and B as The component of acceleration of A along the perpendicular to the incline is aA sinθ Similarly, the component of acceleration of B along the perpendicular to the incline is aB cosθ ∵ aBcosθ=aAsinθ and θ=30∘ ⇒ aBcos30∘=aAsin30∘ ⇒ aB(√32)=4(12) ⇒ aB=4√3 m/s2

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