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A plumb bob is hung from the ceiling of a train compartment. If the train moves with acceleration “a” along a straight horizontal track, the string supporting the bob makes an angle tan -1 (a/g) with the normal to the ceiling. Suppose the train moves on an inclined straight track with uniform velocity. If the angle of incline is tan -1 (a/g), the string again makes the same angle with the normal to the ceiling. Can a person sitting Inside the compartment tell by looking at the plumb line whether the train is accelerated on a horizontal straight track or it is going on an incline? If yes, how? If no suggest a method to do so.


A plumb bob is hung from the ceiling of a train compartment. If the train moves with acceleration “a” along a straight horizontal track, the string supporting the bob makes an angle tan-1(a/g) with the normal to the ceiling. Suppose the train moves on an inclined straight track with uniform velocity. If the angle of incline is tan-1(a/g), the string again makes the same angle with the normal to the ceiling. Can a person sitting

Inside the compartment tell by looking at the plumb line whether the train is accelerated on a horizontal straight track or it is going on an incline? If yes, how? If no suggest a method to do so.

 


Grade:10

1 Answers

Sanjay Verma
13 Points
2 years ago
By finding the time period of SHM,
a)- T=2πL/√g2+a on horizontal surface 
b)- T=2π√l/gcos​theta on inclined surface 

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