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Questions  

The motion of a particle is given by X = A sinωt + B cosωt the motion of the particle is

a
not simple harmonic
b
simple harmonic with amplitude A+B
c
simple harmonic with amplitude (A+B)/2
d
simple harmonic with amplitude

detailed solution

Correct option is D

The equation X = (A sinωt + B cosωt) A2+B2sinωt+ϕ where  ϕ=tan-1BArepresents another SHM of time period π/ω having on amplitude A2+B2.

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