Mechanical Engineering - Theory of machines - Discussion

Discussion Forum : Theory of machines - Section 8 (Q.No. 9)
9.
A simple spring-mass vibrating system has a natural frequency of fn. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become
fn/2
2 fn
4 fn
8 fn
Answer: Option
Explanation:
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Discussion:
1 comments Page 1 of 1.

MANOHAR said:   1 decade ago
frequency = 1/2pie root of(q/m).

as per given data q = q/2.

m = 2m.

frequency = 1/2 pie root of(q/2*1/2m) = 1/2 pie root of(q/4m) = 1/2 pie 1/2 root of(q/m) = 1/2 fn.

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