Question

If the equation of displacement of a particle is y = A sin PT + B cosPT then the motion of wilh be :

(1) Simple harmonic motion (3) Linear motion

(3) Uniform circular motion (4) None of these​

Answer 1

Answer:

Displacement equation is given as Y=0.08sin(3πt+

4

π

)

On comparing with Y=Asin(wt+π)

We get, w=3π and ϕ=

4

π

Time period T=

T

2π

=

3π

2π

=

3

2

s

Initial phase ϕ=

4

π

At t=

36

7

s, Y=0.08sin(3π×

36

7

+

4

π

)=0.08 sin(5π/6)

⟹ Y=0.08×0.5=0.04 m