Pendulum `A` is a physical pendulum made from a thin, rigid and uniform rod whose length is `d`. One end of this rod is attached to the ceiling by a frictionless hinge, so that the rod is free to swing back and forth. Pendulum `B` is a simple pendulum whose length is also `d`. Obtain the ratio `(T_(A))/(T_(B))` of their periods for small angle oscillations.
Pendulum `A` is a physical pendulum made from a thin, rigid and uniform rod whose length is `d`. One end of this rod is attached to the ceiling by a frictionless hinge, so that the rod is free to swing back and forth. Pendulum `B` is a simple pendulum whose length is also `d`. Obtain the ratio `(T_(A))/(T_(B))` of their periods for small angle oscillations.
A
(a)`sqrt((3)/(2))`
B
(b)`sqrt((2)/(3))`
C
(c)`(2)/(3)`
D
(d)`3/2`
Text Solution
Verified by Experts
The correct Answer is:
B
`T_(A) = 2pisqrt((I)/(mgl)) = 2pisqrt((mgl^(2)//3)/(mgl//2)) = 2pisqrt((2l)/(3g))` & `T_(B) = 2pisqrt((l)/(g)) rArr (T_(A))/(T_(B)) = sqrt((2)/(3)`
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