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Question

In the figure shown all the surface are smooth. All the blocks A, B and C are movable, positive x-axis is horizontal and positive y-axis vertical as shown. Just after the system is released from the position as shown.


A

Acceleration of 'A' relative to ground is in negative y-direction

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B

Acceleration of 'A' relative to B is in positive x-direction

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C

The horizontal acceleration of 'B' relative to ground is in negative x-direction.

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D

The acceleration of 'B' relative to ground directed along the inclined surface of 'C' is greater than g sin.

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Solution

The correct options are
A

Acceleration of 'A' relative to ground is in negative y-direction


B

Acceleration of 'A' relative to B is in positive x-direction


C

The horizontal acceleration of 'B' relative to ground is in negative x-direction.


D

The acceleration of 'B' relative to ground directed along the inclined surface of 'C' is greater than g sin.


(a) A will move along the (-ve) y direction as there are no horizontal forces and the net downward force will be (mg - N)

The horizontal acceleration of B with respect to ground will be in the (-ve) x direction

Due to the component of Normal force from C

(c) As A can move only in the vertical direction with respect ground its horizontal acceleration should be zero. And since B has a horizontal acceleration be the (-ve) x direction, horizontal acceleration of A with respect B will be positive.

(d) The net force along the surface of B will be greater than mB g sinθ as there will be a component from the normal force exerted by A on B. the acceleration will be greater than g sin θ.


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