Question

A particle perform simple harmonic motion in a straight line about a center C in the line.When it's distances from C are 5.0 and 13.0cm,it's velocities are 25.0 and 7.0cm/s respectively.Find the period and the amplitude of the oscillation. Hint: use V=±w(angular velocity)√(A² - y²) and solve simultaneously.?

Answer 1

$v_1=\omega\sqrt{A_0^2-A_1^2},\\ v_2=\omega\sqrt{A_0^2-A_2^2},$

$\omega=2,$

$A=13.5~cm,$

$T=\frac{2\pi}{\omega}=3.14~s.$