Question

the value of phase at which displacement become


™3/2 times of its maximum valve of body executing shm​

Answer 1

Explanation:

Let the amplitude of oscillation be A.

Thus the displacement of body x=

2

3

A

∴ Potential energy P.E=

2

1

kx

2

where k=mω

2

⟹ P.E=

2

1

mω

2

×

4

3

A

2

Kinetic energy K.E=

2

1

mω

2

(A

2

−x

2

)

⟹ K.E=

2

1

mω

2

×(A

2

−

4

3

A

2

)=

2

1

mω

2

×

4

1

A

2

∴

K.E

P.E

=

4

1

4

3

=3

⟹ P.E:K.E=3:1