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The time period of a particle undergoing SHM is 16 s. It starts motion from the mean position. After 2 s, its velocity is 0.4ms−10.4ms−1. The amplitude of oscillation is

Asked by nipunverma59 7th October 2018, 1:47 PM
Answered by Expert
Answer:
Equation of SHM :-   x = A×sinωt .............(1)
where x is displacement, A is amplitide and ω is angular spped
 
if we differentiate eqn.(1), we get   (dx/dt) = Aω×cosωt ....................(2)
 
angular speed ω = 2π/T = 2π/16 = 0.125π ......................(3)
 
by substituting ω from eqn.(3) and using eqn.(2) we get begin mathsize 12px style A space equals space fraction numerator begin display style bevelled fraction numerator d x over denominator d t end fraction end style over denominator omega cross times cos omega t end fraction space equals space fraction numerator 0.4 over denominator 0.125 pi cross times cos open parentheses 0.125 pi cross times 2 close parentheses end fraction space equals space 1.44 space m end style
Answered by Expert 7th October 2018, 5:28 PM
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