Home
Class 12
PHYSICS
A horizontal rod of mass m=(3k)/(pi^2) k...

A horizontal rod of mass `m=(3k)/(pi^2)` kg and length L is pivoted at one end . The rod at the other end is supported by a spring of force constant k. The rod is displaced by a small angle `theta` from its horizontal equilibrium position and released . The time period (in second) of the subsequent simple harmonic motion is

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Similar Questions

Explore conceptually related problems

A horizontal rod of mass m and length L is pivoted at one end The rod's other end is supported by a spring of force constant k. The rod is displaced by a small angle theta from its horizontal equilibrium position and released. The angular frequency of the subsequent simple harmonic motion is

A thin rod of length L and area of cross section S is pivoted at its lowest point P inside a stationary, homogeneous and non-viscous liquid. The rod is free to rotate in a vertical plane about a horizontal axis passing through P. The density d_(1) of the rod is smaller than the density d_(2) of the liquid. The rod is displaced by a small angle theta from its equilibrium position and then released. Shown that the motion of the rod is simple harmonic and determine its angular frequency in terms of the given parameters ___________ .

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

A cart of mass 2.00kg is attached to the end of a horizontal spring with force constant k = 150N//m . The cart is displaced 15.0cm from its equilibrium position and released. What are (a) the amplitude (b) the period ( c) the mechanical energy (e) the maximum velocity of the cart ? Neglect friction.

A rod of length l and mass m , pivoted at one end, is held by a spring at its mid - point and a spring at far end. The spring have spring constant k . Find the frequency of small oscillations about the equilibrium position.

A unifrom rod of mass m and length l_(0) is pivoted at one end and is hanging in the vertical at one end and is hagingh in the vertical direction.The period of small angular oscillations of the rod is

A rod of mass m and length l is connected by two spring of spring constants k_(1) and k_(2) , so that it is horizontal at equilibrium. What is the natural frequency of the system?

A rod of length L is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod, when it is in vertical position, is

A uniform rod of mass 20 Kg and length 1.6 m is piovted at its end and swings freely in the vertical plane. Angular acceleration of the rod just after the rod is relased from rest in the horizontal position is

A rod of mass m and length l is lying on a horizontal table. Work done in making it stand on one end will be