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JEE PHYSICS MCQ: OSCILLATIONS

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Application +4 | -1
A particle is subjected to two simple harmonic motions

x1=A1sin⁡ωtx_1=A_1 \sin \omega t and x2=A2sin⁡(ωt+π/3)x_2=A_2 \sin (\omega t+\pi / 3)

Find

(a) the displacement at t=0t=0

(b) the maximum speed of the particle.
View answer and explanation
Correct option: A
(a) A232;\frac{A_2 \sqrt{3}}{2}; (b) ωA12+A22+A1A2\omega \sqrt{A_1^2+A_2^2+A_1 A_2}
Option A (a) A232;\frac{A_2 \sqrt{3}}{2}; (b) ωA12+A22+A1A2\omega \sqrt{A_1^2+A_2^2+A_1 A_2} is correct because it correctly calculates the displacement at t=0 and the maximum speed of the particle.

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