A particle is subjected simultaneously to two SHMs, one along the x-axis and the other along the y-axis. The two vibrations are in phase and have…

Question

A particle is subjected simultaneously to two SHMs, one along the x-axis and the other along the y-axis. The two vibrations are in phase and have unequal amplitudes. The particle will execute

MARKS Content Team · Accepted Answer

Correct answer: (A) Straight line motion. Let the equations of the two mutually perpendicular SHM's of the same frequency and same phase be x=a_1 sin ⁡ωt and y=a_2 sin ⁡ωt Then, y/x=(a_2sinωt)/(a_1sinωt)=a_2a_1 y=a_2a_1x, which is the equation of a straight line

A particle is subjected simultaneously to two SHMs, one along the $x$ -axis and the other along the $y$ -axis. The two vibrations are in phase and have unequal amplitudes. The particle will execute

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