Home
Class 11
PHYSICS
A mass m is attached with rods as shown ...

A mass `m` is attached with rods as shown in figure. This mass is slightly stretched and released. Find out the time period of the motion of the mass.

Text Solution

Verified by Experts

Here `k_(eq)=(k_(1)k_(2))/(k_(1)+k_(2))andT=2pisqrt((m)/(k_(eq)))=2pisqrt((m(k_(1)+k_(2)))/(k_(1)k_(2)))` where `k_(1)=(A_(1)Y_(1))/(l_(1)) and k_(2)=(A_(2)Y_(2))/(l_(2))`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Elasticity)|16 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 1 (Surface Tension)|21 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN|Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A mass 'm' is attached with rods as shown in Fig. This mass is slightly stretched and released. Find out whether the motion of mass is S.H.M . If yes then find out the time period.

A particle of mass m is attached with three springs A,B and C of equal force constancts k as shown in figure. The particle is pushed slightly against the spring C and released. Find the time period of oscillation. .

A rod of mass m and length L is kept on a horizontal smooth surface. The rod is hinged at its one end A . There are two springs, perpendicular to the rod, kept in the same horizontal plane. The spring of spring constant k is rigidly attached to the lower end of rod and spring of spring constant 12k just touches the rod at its midpoint C , as shown in the figure. If the rod is slightly displaced leftward and released then, the time period for small osciallation of the rod will be

A particle of mass m is attached to three springs A,B and C of equal force constants k as shown in figure. If the particle is pushed slightly against the spring C and released, find the time period of oscillation.

A body of mass m is suspended from three springs as shown in figure. If mass m is displaced slightly then time period of oscillation is

A cylindrical object of outer diameter 20 cm and mass 2 kg floats in water with its axis vertical. If it is slightly depressed and then released, find the time period of the resulting simple harmonic motion of the object.

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg , the time period of oscillations becomes 5s. The value of m in kg is

The ends of a rod of length l and mass m are attached to two identical springs as shown in the figure. The rod is free to rotate about its centre O . The rod is depressed slightly at end A and released . The time period of the oscillation is

A particle of mass 'm' is attached to three identical springs A,B and C each of force constant 'K' as shown in figure. If the particle of mass 'm' is pushed slightly against the spring 'A' and released the period of oscillations is

A particle of mass 'm' is attached to three identical springs A,B and C each of force constant 'K' as shown in figure. If the particle of mass 'm' is pushed slightly against the spring 'A' and released the period of oscillations is