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Two point masses of 3 kg and 6 kg are at...

Two point masses of 3 kg and 6 kg are attached to opposite ends of horizontal spring whose spring constant is `300 Nm^(-1)` as shown in the figure. The natural vibration frequency of the system is approximately

A

4 Hz

B

3 Hz

C

2 Hz

D

1 Hz

Text Solution

Verified by Experts

The correct Answer is:
C
(c)Reduced mass of two blocks,
`mu=(m_(1)m_(2))/(m_(1)+m_(2))=2 kg`
Now, `f=(1)/(2pi)sqrt((k)/(mu))=(1)/(2pi)sqrt((300)/(2))~~2Hz`
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