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Q.

A rectangular uniform parallelepiped slab is placed on a fixed inclined plane of inclination  θ with the horizontal as shown in the figure.  L and R  represent the left and right half of the slab. Four observations followed by corresponding conclusions are given below Choose the correct one:

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a

When the inclined plane is smooth force exerted by inclined plane on right half is greater than that on left half.

b

When inclined plane is sufficient rough to present slipping the force exerted by inclined plane on  right half is more than the on left half.

c

When inclined plan is sufficiently rough to present slipping the force exerted by inclined plane on right half is less than that’s on the left half.

d

When inclined plane is sufficiently rough to present friction the fore exerted by inclined plane is same on both right and left half.

answer is B.

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Detailed Solution

Net torque on the system must be zero about CM.

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A rectangular uniform parallelepiped slab is placed on a fixed inclined plane of inclination  θ with the horizontal as shown in the figure.  L and R  represent the left and right half of the slab. Four observations followed by corresponding conclusions are given below Choose the correct one: