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A simple pendulum is suspended from the ceiling of a car accelerating uniformly on a horizontal road.If the acceleration is a and length of the pendulum is l,find the time period of small oscillation about the mean position.

A simple pendulum is suspended from the ceiling of a car accelerating uniformly on a horizontal road.If the acceleration is a and length of the pendulum is l,find the time period of small oscillation about the mean position.

Grade:12

3 Answers

Chetan Mandayam Nayakar
312 Points
8 years ago

T=2pi√(l/(√(a2+g2)))

Yogita Bang
39 Points
8 years ago

The car is accelerating in horizontal direction with acceleration a. The accleration due to gravity is g in downward direction.

Resultant acceleration a'' = (a2 + g2)1/2

Time period T=2pi(L/a'')1/2 =2pi{L/(a2+g2)1/2}

 

 

Kushagra Madhukar
askIITians Faculty 629 Points
one year ago
Dear student,
Please find the solution to your problem.
 
The car is accelerating in horizontal direction with acceleration a. The accleration due to gravity is g in downward direction.
Resultant acceleration a'' = (a2 + g2)
Time period T = 2π(L/a'') = 2π{L/(a2+g2)}
 
Thanks and regards,
Kushagra

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