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Time period & frequency

The time period of oscillation of a particle that executes S.H

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The time period of oscillation of a particle that executes S.H.M. is $1.2 sec$ . The time starting from extreme position, its velocity will be half of its velocity at mean position is

Name: Video solution 1: The time period of oscillation of a particle that executes S.H.M. is 1.2sec. The time starting from extreme position, its velocity will be half of its velocity at mean position is
Uploaded: 2022-11-20T15:37:59.000Z
Duration: 11 min
Description: Video solution 1: The time period of oscillation of a particle that executes S.H.M. is 1.2sec. The time starting from extreme position, its velocity will be half of its velocity at mean position is

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Updated on: Nov 20, 2022

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The time period of oscillation of a particle that executes S.H.M. is

1.2 sec

. The time starting from extreme position, its velocity will be half of its velocity at mean position is

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Text solutionVerified

Time is zero at extreme position

T = 1.2 sec v = ω A^{2} - x^{2}; v_{m a x} = ω A v = \frac{v _{m a x}}{2} = \frac{ω A}{2} = ω A^{2} - x^{2} \frac{A ^{2}}{4} = A^{2} - x^{2}; x = \frac{3}{2} A x = A cos ω t \frac{3}{2} A = A cos ω t ω t = \frac{π}{6} t = \frac{π}{6 \times ω} t = \frac{π}{6} \times \frac{1.2}{2 π} = 0.1 sec

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Question Text	The time period of oscillation of a particle that executes S.H.M. is $1.2 sec$ . The time starting from extreme position, its velocity will be half of its velocity at mean position is
Updated On	Nov 20, 2022
Topic	Oscillations
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	211
Avg. Video Duration	11 min

The time period of oscillation of a particle that executes S.H.M. is $1.2 sec$ . The time starting from extreme position, its velocity will be half of its velocity at mean position is

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The time period of oscillation of a particle that executes S.H.M. is $1.2 sec$ . The time starting from extreme position, its velocity will be half of its velocity at mean position is