Question

A partilce is executive simple harmonic motion given by
`x=5sin(4t-pi/6)`
The velocity of the particle when its displacement is 3 units is
A. `(2pi)/(3)` units
B. `(5pi)/(6)` units
C. `20` units
D. `16` units

Answer 1

Correct Answer - D
`x=5sin(4t-pi//6)`
`x=Asin(omegat+phi)`
Compaing (i) and (ii)
`A=5, omega=4`
`v=omegasqrt(A^2-x^2)`
`=4sqrt(5^2-3^2)=16units`