Question

Two particle `P` and `Q` describe harmonic , motions of same particle , same amplitude along the same line about the same equilibrium position `O` when `P` and `Q` are an appose sides of `O` at the same distance from `O` they have the same speed of `1.2m//s` in the same direction when their displacement are the same they have the same speed at `1.6m//s` in apposite direction .The maximum velocity in `m//s` of elther particle is
A. `2.8`
B. `2.5`
C. `2.4`
D. `2`

Answer 1

Correct Answer - D

`A omega t cos theta = 1.2`…(1)
`A omega sin theta = 16`….(2)
`tan theta = (4)/(3) rArr theta = 53^(@)`
`:. A omega.(3)/(5) = 1.2 rArr A omega = 2 m//sec`.