SHMHard

Question

The position of a particle at time t moving in x-y plane is given by = (î + 2ĵ) A cos ωt. Then, the motion of the particle is :

Options

A.on a straight line
B.on an ellipse
C.periodic
D.SHM

Solution

= A cos ωt î + 2A cos ωt ĵ    ⇒    x =  A cos ωt ,    y = 2A cos ωt    so y = 2x
|| = A cos ωt . √5 = √5 A cos ωt

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