Physics-
General
Easy

Question

A semi cylindrical shell with negligible thickness oscillates without slipping on a horizontal surface.
The time period of small oscillations is (Hint : centre of mass of the shell lies at fraction numerator 2 R over denominator pi end fraction below the centre)

  1. 2 pi square root of fraction numerator R left parenthesis pi minus 2 right parenthesis over denominator g end fraction end root    
  2. 2 pi square root of fraction numerator R left parenthesis pi minus 1 right parenthesis over denominator g end fraction end root    
  3. 2 pi square root of fraction numerator R left parenthesis pi plus 2 right parenthesis over denominator g end fraction end root    
  4. 2 pi square root of fraction numerator R left parenthesis pi plus 1 right parenthesis over denominator g end fraction end root    

The correct answer is: 2 pi square root of fraction numerator R left parenthesis pi minus 2 right parenthesis over denominator g end fraction end root


    Restoring torque = - mg (B(c) I alpha equals negative m g open parentheses fraction numerator 2 R over denominator pi end fraction sin invisible function application theta close parentheses

    Related Questions to study

    General
    Physics-

    Initially spring is compressed by distance x subscript 0 end subscript from equilibrium position. At this compression block is given velocity square root of fraction numerator 3 k over denominator m end fraction end root x subscript 0 end subscript comma so that compression in the spring increases and block start SHM (Spring constant K). Equation of motion of the block is

    Initially spring is compressed by distance x subscript 0 end subscript from equilibrium position. At this compression block is given velocity square root of fraction numerator 3 k over denominator m end fraction end root x subscript 0 end subscript comma so that compression in the spring increases and block start SHM (Spring constant K). Equation of motion of the block is

    Physics-General
    General
    Physics-

    A ball is suspended by a thread of length l at the point O on the wall, forming a small angle proportional to with the vertical (figure) Then the thread with the ball was deviated through 2proportional to and set free. Assuming the collision of the ball against the wall to be perfectly elastic, find the oscillation period of such a pendulum.

    A ball is suspended by a thread of length l at the point O on the wall, forming a small angle proportional to with the vertical (figure) Then the thread with the ball was deviated through 2proportional to and set free. Assuming the collision of the ball against the wall to be perfectly elastic, find the oscillation period of such a pendulum.

    Physics-General
    General
    Physics-

    A mass m attached to a spring A has a frequency of 3 Hz and a spring B has a frequency of 4 Hz. When both the springs are connected as shown, find the frequency (in Hz) of oscillation.

    A mass m attached to a spring A has a frequency of 3 Hz and a spring B has a frequency of 4 Hz. When both the springs are connected as shown, find the frequency (in Hz) of oscillation.

    Physics-General
    parallel
    General
    Chemistry-

    Adsorption also takes place in the solution when solid surface is saturated by adsorption, then variation of open parentheses fraction numerator x over denominator m end fraction close parentheses and concentration (C) is given by which of the following b portion?

    Adsorption also takes place in the solution when solid surface is saturated by adsorption, then variation of open parentheses fraction numerator x over denominator m end fraction close parentheses and concentration (C) is given by which of the following b portion?

    Chemistry-General
    General
    Chemistry-

    Following graph will be true when

    Following graph will be true when

    Chemistry-General
    General
    Chemistry-

    In homogeneous catalytic reactions, there are three alternative paths A,B and C (shown in the figure) which one of the following indicates the relative ease with which the reaction can take place?

    In homogeneous catalytic reactions, there are three alternative paths A,B and C (shown in the figure) which one of the following indicates the relative ease with which the reaction can take place?

    Chemistry-General
    parallel
    General
    Chemistry-

    Graph between log open parentheses fraction numerator x over denominator m end fraction close parentheses and log P is a straight line at angle 0 45 with intercept OA as shown Hence ,blank open parentheses fraction numerator x over denominator m end fraction close parentheses at a pressure of 2 atm is

    Graph between log open parentheses fraction numerator x over denominator m end fraction close parentheses and log P is a straight line at angle 0 45 with intercept OA as shown Hence ,blank open parentheses fraction numerator x over denominator m end fraction close parentheses at a pressure of 2 atm is

    Chemistry-General
    General
    Physics-

    Values of the acceleration A of a particle moving in simple harmonic motion as a function of its displacement x are given in the table below.

    The period of the motion is

    Values of the acceleration A of a particle moving in simple harmonic motion as a function of its displacement x are given in the table below.

    The period of the motion is

    Physics-General
    General
    Physics-

    Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction, then the frequency of oscillation of the system is

    Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction, then the frequency of oscillation of the system is

    Physics-General
    parallel
    General
    Physics-

    A man having a wrist watch and a pendulum clock rises on a TV tower. The wrist watch and pendulum clock per chance fall from the top of the tower. Then

    A man having a wrist watch and a pendulum clock rises on a TV tower. The wrist watch and pendulum clock per chance fall from the top of the tower. Then

    Physics-General
    General
    Physics-

    A man weighing 60 kg stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude 0.1 m and frequency fraction numerator 2 over denominator pi end fraction H z. Which of the following statement is correct

    A man weighing 60 kg stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude 0.1 m and frequency fraction numerator 2 over denominator pi end fraction H z. Which of the following statement is correct

    Physics-General
    General
    Physics-

    Time period of a block suspended from the upper plate of a parallel plate capacitor by a spring of stiffness k is T. When block is uncharged. If a charge q is given to the block them, the new time period of oscillation will be

    Time period of a block suspended from the upper plate of a parallel plate capacitor by a spring of stiffness k is T. When block is uncharged. If a charge q is given to the block them, the new time period of oscillation will be

    Physics-General
    parallel
    General
    Physics-

    The period of a simple pendulum, whose bob is a hollow metallic sphere, is T. The period is T1 when the bob is filled with sand, T2 when it is filled with mercury and T3 when it is half filled with mercury. Which of the following is true

    The period of a simple pendulum, whose bob is a hollow metallic sphere, is T. The period is T1 when the bob is filled with sand, T2 when it is filled with mercury and T3 when it is half filled with mercury. Which of the following is true

    Physics-General
    General
    Physics-

    Assertion:Consider motion for a mass spring system under gravity, motion of M is not a simple harmonic motion unless Mg is negligibly small.
    Reason : For simple harmonic motion acceleration must be proportional to displacement and is directed towards the mean position

    Assertion:Consider motion for a mass spring system under gravity, motion of M is not a simple harmonic motion unless Mg is negligibly small.
    Reason : For simple harmonic motion acceleration must be proportional to displacement and is directed towards the mean position

    Physics-General
    General
    Physics-

    The variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is

    The variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.