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

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.

Text Solution

Verified by Experts

`k_(eq)=(k_(1)k_(2))/(k_(1)+k_(2)) T=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))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 91 illustration|2 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 92 illustration|2 Videos

  • DAILY PRACTICE PROBLEMS

    RESONANCE|Exercise dpp 89 illustration|5 Videos

  • CURRENT ELECTRICITY

    RESONANCE|Exercise Exercise|54 Videos

  • ELASTICITY AND VISCOCITY

    RESONANCE|Exercise Advanced Level Problems|9 Videos

Similar Questions

Explore conceptually related problems

A mass m is attached with rods as shown in figure. This mass is slightly stretched and released 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. .

Knowledge Check

  • 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
    `2pi sqrt((m)/(3K))`
    B
    `2pi sqrt((3m)/(2K))`
    C
    `2pi sqrt((2m)/(3K))`
    D
    `2pi sqrt((3K)/(m))`

  • Find the time period of SHM of the block of mass M

    A
    `T = 2 pi sqrt(M/(2K))`
    B
    `T = 2 pi sqrt(M/K)`
    C
    `T = 2 pi sqrt((2M)/K)`
    D
    `T = 2 pi sqrt(M/(4K))`

  • A body of mass m is attached to the lower end of a spring where 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 3 s. When the mass m is increased by 1kg , the time period of oscillations becomes 5 s. The value of m in kg is

    A
    `16/9`
    B
    `9/16`
    C
    `3/4`
    D
    `4/3`

    • Similar Questions

    Explore conceptually related problems

    Two blocks each of mass m are connected with springs each of force constant K as shown in fig. The mass A is displaced to the left & B to the right by the same amount and released then the time period of oscillation is -

    A mass m is attached to the free end of a massless spring of spring constant k with its other end fixed to a rigid support as shown in figure. Find out the time period of the mass, if it is displaced slightly by an amount x downward.

    A solid sphere of mass M and Radius R is attached to a massless spring of force constant k as shown in the figure. The cylinder is pulled towards right slightly and released so that it executes simple harmonic motion of time period. If the cylinder rolls on the horizontal surface without slipping, calculate its time period of oscillation.

    In the fig, find the acceleration of mass m_(2) .

    If a bob of mass 'm' is attached as shown in figure. When displaced , the pendulum will undero S.H.M. with a period T is equal to

    Home
    Profile