FrictionHard

Question

A block of mass 15 kg is resting on a rough inclined plane as shown in figure. The block is tied up by a horizontal string which has a tension of 50 N. The coefficient of friction between the surfaces of contact is (g = 10 m/s2

Options

A.1/2
B.2/3
C.3/4
D.1/4

Solution

The free body diagram of the block is
N is the normal reaction exerted by inclined plane on the block.

Applying Newton′s second law to the block along and normal to the incline.
mg sin 45o = T cos 45o + μN        ............... (1)
N = mg cos 45o + T sin 45o        ............... (2)
Solving we get

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