Question

A 18.0 kg electric motor is mounted on four vertical springs, each having a spring constant of 24.0 N/cm. Find the period with which the motor vibrates vertically.

Answer 1

Step-by-step explanation:

Total mass m = 18 kg .

Spring are parallel to each other so total spring constant

= 4 x 24 = 96 N/cm = 9600 N/m

Time period of vibration

`T=2\pi\sqrt{(m)/(k) }`

Putting the given values

`T=2\pi\sqrt{(18)/(9600) }`

= .27 s .