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A particle moves with simple harmonic motion in a straight line. In first t s, after starting from rest it travels a distance a, and in next t s it travels 2a, in same direction, then(1) amplitude of motion is 3a (2) time period of oscillations Is 8t(3) amplitude of motion is 4a (4) time period of oscillations Is 6t

A particle moves with simple harmonic motion in a straight line. In first t s, after starting from rest it travels a distance a, and in next t s it travels 2a, in same direction, then(1) amplitude of motion is 3a (2) time period of oscillations Is 8t(3) amplitude of motion is 4a (4) time period of oscillations Is 6t

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2 Answers

Arun
25750 Points
6 years ago
Dear Sarthak
 
A(1  – cos wt) = a
A(1  – cos 2wt) = 3 a
 
cos wt = 1 – a /A
 
cos 2wt = 1 – 3a /A
 
when solving the equation
 
A = 2a
 
cos wt = ½
 
T = 6t
Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below the solution to your problem.

A(1 – cos wt) = a
A(1 – cos 2wt) = 3 a
cos wt = 1 – a /A
cos 2wt = 1 – 3a /A
when solving the equation
A = 2a
cos wt = ½
T = 6t

Thanks and Regards

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