Question

A simple harmonic motion is represented by a = 7sin wt+24 cos2wt
, then the amplitude of
motion is approximately
24.
31
14
25
​

Answer 1

Answer:

y=5(sin3πt+

3

cos3πt)

y=5×2(

2

1

sin3πt+

2

3

cos3πt)

y=10(cos

3

π

sin3πt−sin

3

π

cos3πt)

y=10sin(3πt+

3

π

)

Comparing it with y=Asin(ωt+ϕ)

⇒A=10 i.e., amplitude is 10cm

⇒T=

ω

2π

=

3π

2π

=

3

2

sec. i.e, time period is

3

2

sec.