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Q.

Two blocks of masses m1 and m2 are connected through a massless inextensible string. A block of mass m1 is placed at the fixed rigid inclined surface while the block of mass m2 hanging at the other end of the string, which is passing through a fixed massless  frictionless pulley shown in the figure. The coefficient of static friction between the block and the inclined plane is 0.8. The system of masses m1 and m2 is released from rest. 
(Take g = 10 m/s2)
 

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a

The contact force by the inclined surface on the block is along normal to the inclined surface.

b

The tension in the string is 20 N after releasing the system

c

The magnitude of contact force by the inclined surface on the block m1 is 203N.

d

None of these

answer is A, B, C.

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Detailed Solution

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Here m1gsin30°=m2g=20N, 

so there is no tendency of motion in any direction. 

Hence, there is no friction on m1

Contact force will be only normal force and it's magnitude is 

m1gcos300=203N

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