Home
Class 12
PHYSICS
A disk of mass m is connected to two spr...

A disk of mass m is connected to two springs of stiffness `k_(1) and k_(2)` as shown in the figure. Find the angular frequency of the system for small oscillation. Disc can roll on the surface without slipping

Text Solution

Verified by Experts

`sqrt((2(k_(1) + 4k_(2)))/(3m))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Assignment Problems (Objective) (Level-I)|39 Videos

  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Assignment Problems (Objective) (Level-I) (Assertion Reasoning type)|3 Videos

  • SIMPLE HARMONIC MOTION

    FIITJEE|Exercise Assignment Problems (Subjective) (Level)|20 Videos

  • SEMICONDUCTOR AND DEVICE

    FIITJEE|Exercise SOLVED PROBLEMS Objective: Level-I|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise PHYSICS|747 Videos

Similar Questions

Explore conceptually related problems

A block of mass m is connected between two springs (constants K_(1) and K_(2) ) as shown in the figure and is made to oscillate, the frequency of oscillation of the system shall be-

A stepped pulley having mass m redius of gyration k is connected with two ideal springs of stiffnesws k_(1) and k_(2) as shown in figure. If the pulley shown in the figure . If the pulley rolls without sliding, find the angular frequency of its oscillation.

Knowledge Check

  • A block of mass m is connected to two indentical springs of spring constant k which are in turn connected to fixed supports as shown in the figure. Find the time period for small oscillations of the block.

    A
    `2pi sqrt(m/k)`
    B
    `2pisqrt(m/(2k))`
    C
    `2pisqrt((2m)/k)`
    D
    `pisqrt(m/(2k))`

  • The spring constants of two springs of same length are k_(1) and k_(2) as shown in figure. If an object of mass m is suspended and set in vibration , the period will be

    A
    `2pisqrt((mk_(1))/(k_(2)))`
    B
    `2pisqrt((m)/(k_(1)k_(2)))`
    C
    `2pisqrt((m)/(k_(1)-k_(2)))`
    D
    `2pisqrt(m//(k_(1)+k_(2)))`

  • Two springs of force constant k and 2k are connected to a mass shown in figure the frequency of oscillation of the mass is

    A
    `1/(2pi)sqrt(m/k)`
    B
    `1/(2pi)sqrt(2k/m)`
    C
    `1/(2pi)sqrt(3k/m`
    D
    `1/(2pi)sqrt(m/k)`

    • Similar Questions

    Explore conceptually related problems

    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?

    Friction is absent everywhere and the threads, spring and pulleys are massless. If m_(A) = m_(B) = M , then the angular frequency of the system for small oscillations will be

    A uniform disc of mass m and radius R is pivoted smoothly at its centre of mass. A light spring of stiffness k is attached with the dics tangentially as shown in the Fig. Find the angular frequency in (rad)/(s) of torsional oscillation of the disc. (Take m=5kg and K=10(N)/(m) .)

    A uniform disc of mass m is attached to a spring of spring constant k as shown in figure and there is sufficient friction to prevent slipping of disc. Time period of small oscillations of disc is:

    Two springs of force constant k and 2k are connected to a mass shown in figure the frequency of oscillation of the mass is

    Home
    Profile