JEE Advanced 2011 Physics question

PhysicsOscillationsJEE Advanced 2011

A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, and . Adding a third sinusoidal displacement brings the mass to a complete rest. The values of B and φ are

Answer: (B)

Solution

Represent the displacements as phasors of length A at angles 0 and . Their resultant has amplitude and phase (by symmetry, halfway between 0 and ): . For

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Question ID VK-025967