# Bifilar suspension system - Theory of Machines - 1

Q.  In the bifilar suspension system shown below if x = y, periodic oscillation tp is given as
- Published on 06 Aug 15

a. (2πk / x2) √(l / g)
b. (2πk / xy) √(l / g)
c. (2πk) √(l / gxy)
d. (2πk / x) √(l / g)

ANSWER: (2πk / x) √(l / g)

#### Discussion

• Ombuya omete Dominic   -Posted on 27 Sep 17
• Sravanthi   -Posted on 19 Oct 15
Bifilar suspension

- Bifilar suspension apparatus is used to determine mass moment of inertia of a rigid body.

- In this method, the rigid body is suspended by two long parallel strings. The rigid body is twisted by an angle θ about vertical axis and when released oscillates with S.H.M.

If wires or strings are attached at different distances, periodic time of oscillation is given as

tp = 2 π k √(l / gxy)

If wires or strings are attached at equal distances, periodic time of oscillation is given as

tp = [(2 π k) / x] / √(l / g) ------------------ (since x = y)

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