MHT CET 2017 Physics Solved Paper

(d) Given, particle velocity, v = π m/s and time period T = 16 s
Displacement of the particle, x = A sin ωt
Velocity of the particle.
v=

dx

dt

=Aω‌cos‌ω‌t ....(i)
Angular velocity,
ω=

2

T

=

2π

16

=

π

8

=rad∕s
Now from eq. (i)
π=A×

π

8

×cos‌

π

8

×2
1=

A

8

‌cos‌

π

4

=

A

8

⋅

1

√2

∴ A=8√2m