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Theory of Machines Miscellaneous

  1. As shown in figure, a mass of 100 kg is held between two springs. The natural frequency of vibration of the system in cycle/s, is

    1. 1

    2. 5
      π

    3. 10
      π

    4. 20
      π
Correct Option: C

S = S1 + S2 = 20 + 20 = 40 kN/m = 40,000 N/m
∴ Natural frequency of vibration of the system,

fn =
1
S / m

fn =
1
(400 × 1000)/ 100 =
20

fn =
10
π



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