Home
Class 12
PHYSICS
A uniform rod of length 1.00 m is suspen...

A uniform rod of length 1.00 m is suspended through an end and is set into oscillation with small amplitude under gravity. Find the time period of oscillation.

Text Solution

Verified by Experts

For small amplitude the angular motion is nearly simple harmonic and the time period is given by
`T=2pisqrt((1)/(mg(l//2)))=2pisqrt(((ml^(2)//3))/(mg(l//2)))=2pisqrt((2l)/(3g))=pisqrt((2xx1.00m)/(3xx10m//s^(2)))=(2pi)/(sqrt(15))s`.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Solved Miscellaneous Problems|9 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Board Level Exercise|24 Videos
  • SEMICONDUCTORS

    RESONANCE|Exercise Exercise 3|88 Videos
  • TEST PAPERS

    RESONANCE|Exercise FST-3|30 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of length 2.0 m is suspended through an end and is set into oscillation with small amplitude under gravity. The time period of oscillation is approximately

Find time period of oscillation of the system.

A uniform rod of length l is suspended by end and is made to undego small oscillations. Find the length of the simple pendulum having the time period equal to that of the rod.

A uniform rod of length 2.0 m is suspended through its endpoint about which it performs small angular oscillations in the vertical plane, its time period is nearly

A uniform rod of mass m and length l is suspended through a light wire of length l and torsional constant k as shown in figure. Find the time perid iof the system makes a. small oscillations in the vertical plane about the suspension point and b. angular oscillations in the horizontal plane about the centre of the rod.

A uniform rod of mass m and length l is suspended about its end. Time period of small angular oscillations is

A simple pendulum has time period T. A uniform rod, whose length is the same as that of the pendulum, undergoes small oscillations about its upper end. Its time period of oscillation will be -

A uniform rod of length l is pivoted distance x from the top of the rod . Neglecting friction find the (a) value of x for minimum period of oscillation, (b) minimum period of oscillation of the rod.