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
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9
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
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