Question

3 3) wreite equn of motion for SHM having displacement x = 20 sin (10x-10³t)
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Answer 1

Answer:

y=0.3sin20π(t+0.05)

y=0.3sin(20πt+π)

Comparing the given equation with the standard equation y=Asin(ωt+ϕ)

By comparison

ω=20π

⇒phi=π

⇒A=0.3

Thus, amplitude and initial phase is known

Amplitude (A)=0.3m

Initial phase (ϕ)=π

Then, for calculating time period

T=

ω

2π

=

20π

2π

=

10

1

s=0.1s

⇒ Time period (T)=0.1s

Also for initial displacement t=0

⇒y=0.3sin(π)=0

Thus, initial displacement =0.