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  4. In the situation as shown in figure if acceleration of B is a then find the acceleration of A (B always remains horizontal)

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Q. In the situation as shown in figure if acceleration of $B$ is a then find the acceleration of $A$ ($B$ always remains horizontal)Physics Question Image

Laws of Motion

Solution:

Components of accelerations of $A$ and $B$ along normal $(\hat{n})$ to the incline of wedge should be same.
$\Rightarrow A \sin \theta=a \cos \left(2 \theta-90^{\circ}\right)$
$\Rightarrow A \sin \theta=a \sin 2 \theta$
$\Rightarrow A=2 a \cos \theta$

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