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Q.

In the arrangement shown in figure pulley is smooth and massless and string is light. Friction coefficient between A and B is µ. Friction is absent between A and plane. Select the correct alternative(s).

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a

Acceleration of the system is zero if μ>mBmA2mBtanθ and  mB>mA

b

force of friction between A and B is zero if  mA=mB

c

B moves upwards if  mB<mA

d

tension in the string is mg (sinθμcosθ) if  mA=mB=m

answer is A, B.

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Detailed Solution

For (A), whichever mass is greater will have more tendency to slid down.

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