Question

Which of the following functions represent SHM: (1) sinot (ii) sin 2 ot (iii) sin or +2 cos ot (iv) sin ot + cos 2 ot​

Answer 1

Answer:

The basic principle of S.H.M is acceleration α− (displacement )

i.e., aα−(x)

(A)x=sinwt⇒

dt

dx

=2wcos2wt

⇒

dt

2

d

2

x

=a=−4w

2

sin2wt

⇒a=−4w

2

x⇒aα−x

Hence option (A) is correct.

(B)x=sin

2

wt

⇒

dt

dx

=2sinwtcoswt=sin2wt

⇒

dt

2

d

2

=a=2wcos2wt

Here acceleration is not proportional to displacement

Answer 2

Explanation:

See the above attachment