Home
Class 12
PHYSICS
A block of mass m suspended from a sprin...

A block of mass `m` suspended from a spring of spring constant `k`. Find the amplitude of `S.H.M.`

Text Solution

Verified by Experts

Let amplitude of `S.H.M.` be `x_(0)` then by work energy theorem `W = DeltaKE`
`mgx_(0) - 1/2 kx_(0)^(2) =0 rArr x_(0) = (2mg)/(k)`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise SOME WORKED OUT EXAMPLES|29 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Exercise-01|117 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos
  • TEST PAPER

    ALLEN |Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

The frequency f of vibrations of a mass m suspended from a spring of spring constant k is given by f = Cm^(x) k^(y) , where C is a dimensionnless constant. The values of x and y are, respectively,

One body is suspended from a spring of length l , spring constant k and has time period T , Now if spring is divided in two equal parts which are joined in paralled and the same body is suspended from this arrangements then determine new time period.

A mass m suspended at the end of spring of spring constant k and oscillate at periodic time T. If spring is cut into two part of equal length and tow pails are now connected in parallel and a block is suspended at the end of the combined spring and oscillate then find new periodic time.

A vessel filled with water is kept on a weighing pan and the scale adjusted to zero .A block of mass M and density rho is suspended by a massless spring of spring constant k. This block is submerged inside into the water in the vessel .What is the reading of the scale ?

A block P of mass m is placed on horizontal frictionless plane. A second block of same mass m is placed on it and is connected to a spring of spring constant k, the two blocks are pulled by distance A. Block Q oscillates without slipping. What is the maximum value of frictional force between the two blocks.

The frequency of oscillation of a mass m suspended from a spring having force constant k is given by f = Cm^(x)k^(g) , where C is a dimensionless quantity. The value of x and y

Two particle A and B of equal masses are suspended from two massless springs of spring constants k_(1) and k_(2) , respectively. If the maximum velocities, during oscillations are equal, the ratio of amplitude of A and B is (4//3) xx 1000 kg//m^(3) . What relationship betwen t and t_(0) is ture?

When body of mass m is suspended from a spiral spring and spring gets stretched through a distance 20 cm if it is stretched below 20 cm and leave then what is period of oscillation?

The time period of mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be…….

A block of mass m is pushed up against a spring, compressing it to a distance x , and the block is then released. The spring projects the block along a frictionless horizontal surface, giving the block a speed v . The same spring projects a second block of mass 4m , giving it a speed 3v . What distance was the spring compressed in the second case ?