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Questions  

A plumb line is hanging from the ceiling of a train. If the train moving along a horizontal track with a uniform acceleration a, the plumb line gets inclined to the vertical at an angle θ is given by 

a
tan−1⁡ag
b
tan−1⁡ga
c
sin−1⁡ag
d
cos−1⁡ga

detailed solution

Correct option is A

When the train is at rest or moving with a uniform velocity, the plumb line hangs vertically along OB . If the train moves with an acceleration a, the plumb line gets inclined along OC, the direction of the resultant of accelerations a and g. It is clear from the figure that tan θ=ag.

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