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

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, Straight line motion, Circular motion, Elliptic motion, Parabolic motion

MARKS App · Accepted Answer

Let the equations of the two mutually perpendicular SHM's of the same frequency and same phase be x = a 1 sin ⁡ ω t and y = a 2 sin ⁡ ω t Then, y x = a 2 sin ω t a 1 sin ω t = a 2 a 1 y = a 2 a 1 x , which is the equation of a straight line

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