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.

Question

asked May 17, 2021 57.2k views

1 Answer

Malith Ileperuma · Answer 1 · 2021-05-22T12:39:20+0000

Answer:

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 .