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Grade 12Mechanics

Need Help in SHM Problem:?
A particle executing shm along y axis such that its velocities are v1 and v2 at distances y1 and y2 from the mean position. Calculate the time period of the motion.

Profile image of Aniket Pathak
11 Years agoGrade 12
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2 Answers

Profile image of sarim khan
11 Years ago
w=ang freq,A=amplitude
v1=w(A^2-y1)^1/2
v2=w(A^2 -y2)^1/2
eliminating A from above equations we get
w^2=(v1^2-v2^2)/(y2^2-y1^2)
From this you can get T=2pi/w
Profile image of Rishi Sharma
5 Years ago
Dear Student,
Please find below the solution to your problem.

w = ang freq,
A=amplitude
v1 = w(A^2-y1)^1/2
v2 = w(A^2 -y2)^1/2
eliminating A from above equations we get
w^2 = (v1^2-v2^2)/(y2^2-y1^2)
From this you can get T = 2pi/w

Thanks and Regards