Q. 174.6( 5 Votes )

A plumb bob is hung from the ceiling of a train compartment. If the train moves with an 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.

Answer :

In both of the cases the angle that string makes with normal to the ceiling is same. Therefore, a person sitting inside the compartment cannot tell by looking at the plumb line whether the train is accelerated on a horizontal track or it is going on an incline. To determine this, he should know the weight of the bob and measure the tension in the string with a spring balance.



a


Since,


rain on an incline with uniform velocity


T = W


If the tension and the weight of the bob are same then the train is going with uniform velocity on an incline. If the tension in the string is more than the weight of the bob, the train is moving on a horizontal track with acceleration.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Pseudo Force52 mins
Challenging Quiz on Newton Laws of Motion Part 364 mins
Pully Problems | Getting JEE Ready68 mins
Elaborative Lecture on Constraint Motion59 mins
Check your understanding of linear momentum22 mins
Why edges are raised for Curved roads? - Banking of roads54 mins
Into the world of springs - Spring force48 mins
Basics strengthener - Newton Laws of motion61 mins
Understand Newton's 2nd law Exhaustively34 mins
Escaping the reality - Concept of Pseudo Force54 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses