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Q.

In the arrangement shown in figure all surfaces are smooth. Select the correct alternative (s):

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a

For any value of θ, acceleration of  Aand B are equal 

b

Contact force between the two blocks is zero only if mAmB=tanθ

c

Contact force between the two is zero for any value of mA or mB

d

Normal reactions exerted by the wedge on the blocks are equal

answer is A, C.

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Detailed Solution

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NA=mAgcosθ_________1

mAgsinθ+N=mAaA______2

aA=gsinθ+NmA

FBD of B

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NB=mBgcosθ_________1

mBgsinθ-N=mBaB______2

aB=gsinθ-NmB

For normal to be not zero, 

aA<aB

Which is not possible

Therefore normal force between the blocks is zero. Consecutively accelerations of the blocks will be same

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