Question

the periodic time of a body executing simple harmonic motion is 2s. after how much time interval from t=0 will its displacement be half the amplitude ​

Answer 1

Answer:

Given,

T=4sec

Displacement equation is S.H.M is given by

y=asinωt. . . . . .(1)

If y=

2

a

Equation (1) becomes,

2

a

=asinωt

sinωt=0.5

ωt=sin

−1

(0.5)=

6

π

T

2π

t=

6

π

t=

12

T

t=

12

4

t=

3

1

sec