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