First slide
Simple hormonic motion
Question

A point mass oscillates along the x-axis according to the law x=x0cos ωt-π4. If the acceleration of the particle is written as a=A cos ωt+δ,then :

Moderate
Solution

Acceleration,
 a=d2xdt2=-x0ω2cosωt-π4                =x0ω2cos ωt-π4+π                 =x0ω2cosωt+3π4          A=x0ω2and δ=3π4

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