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An electric motor of mass 40 kg is mount...

An electric motor of mass 40 kg is mounted on four vertical springs each having spring constant of `4000 N m^(-1)`. The period with which the motor vibrates vertically is

A

0.314 s

B

3.14 s

C

0.628 s

D

0.157 s

Text Solution

Verified by Experts

The correct Answer is:
A
The springs are in parallel. So equivalent spring constant = `4xx4000 Nm^(-1)`
Here, `M=40kg`
`therefore` Period of oscillation,
`T=2pisqrt((40)/(16000))=(2pi)/(20)=(pi)/(10)=0.314s`
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