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Q.

A plumb bob is hung from the ceiling of a train compartment. The train moves on an inclined track of inclination 30° with horizontal. The acceleration of train up the plane is a = g/2. The angle which the string supporting the bob makes with normal to the ceiling in equilibrium is

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a

30°

b

tan−1(2/3)

c

tan−1(3/2)

d

tan-1(2)

answer is B.

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Detailed Solution

T sinθ - mg sin 30° = ma⇒ T sinθ = mg sin 30° + mg/2  ......... (i)T cosθ = mg cos 30° .......... (ii) Dividing Eqs. (i) by (ii), we gettanθ=23
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