0

Guest

Courses New

A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration ‘a’, the time period of the pendulum will (a) Increase (b) Decrease (c) Remain unaffected (d) Become infinite

A pendulum suspended from the roof of a train has a period T (When the train is at rest). When the train is accelerating with a uniform acceleration ‘a’, the time period of the pendulum will
(a) Increase (b) Decrease
(c) Remain unaffected (d) Become infinite

Grade:12

3 Answers

Arun
25750 Points
3 years ago
When a train is moving with acceleration, the pendulum is exerted by a pseudo acceleration opposite to the direction of the train. As a result, there will be an increase in effective acceleration on the pendulum. The time period will decrease as the time period is inversely proportional to the square root of effective acceleration.

 
vaibhav patil
18 Points
3 years ago
t=​t=sqrtl/g+a(cotTheta) is time period  and it veries always
 m​​w2x=mgsintheata+macostheata
w2x=gsin(theata)+acos(theata)                                          
and x=l×theata....................as per small theat theata=sintheata
w2l×theata=gtheata+acostheata
w2l=g+acostheata÷theata
w2=g+acot theata.......................as per theata is very small(theata=sintheata)
w=sqrt{l\g+acot(Theta) }
and 
t=22pi \sqrt{l/g+acostheata} 
so the time period is veriable 
Vikas TU
14149 Points
3 years ago
If it is accelerating horizontally, the pendulum will think it feels a gravity of
sqrt(g^2+a^2) so the period would decrease by a factor of (1+(a/g)^2)^(-1/4)

Think You Can Provide A Better Answer ?

Other Related Questions on Engineering Entrance Exams

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More