Question

Show that the total mechanical energy of SHM (E) is E=1/2KA2

Answer 1

Answer:

Energy of spring-mass system is given by E=

2

1

mw

2

A

2

Time period of the oscillation T=2π

K

m

2π

T

=

K

m

⟹w=

m

K

Thus E=

2

1

m×

m

K

×A

2

⟹E=

2

1

KA

2

Hence new mechanical energy will remain the same. i.e E

′

=E as energy independent of mass.