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# body executing simple harmonic motion has a velocity of 5m/s at a distance of 5 M and 7m/s at a distance of 4m from the mean position. Find the amplitude and period of oscillation.

Arun
25768 Points
2 years ago
Using V= Wsqrt(A^2 - X^2) Put V= 5,X=5 (get equation 1) V=7, X= 4 (get equation 2)Solve 2 equation in 2 variables get A and w
mani joshi
9 Points
2 years ago
using equation v=w$\sqrt{A^2 + x^2}$
5=w$\sqrt{A^2 + 5^2}$
and
7=w$\sqrt{A^2 + 4^2}$
divide both the equation
you’ll get A=(5/2*$\sqrt{3/2}$)
put this value of A in ny of the above equation to find w then for time period use $2\pi/w$