Question

A small motor of mass 20 kg is symmetrically mounted on 4 equal springs,
each with a spring constant of 25 N/cm. Estimate the frequency and period
of vibration of the motor.
A trolley​

Answer 1

Explanation:

The spring (restoring) force experienced by the spring

F=kx __(1)

and External hence applied is F=ma __(2)

∴ from (1) and (2)

a=

m

F

=

m

kx

Hence ; Time period, T=2π

acceleration

displacement

=2π

F/m

F/x

=2π

k

m

Amplitude = max. displacement =

k

F

(b) At mean position . P.E.=0 and

K.E.=

2

1

kx

2

=

2

1

x

F

2

(c) Energy possessed when passes through Equilibrium position =

2

1

kx

2

=

2

1

k

F

2