The total spring constant of the system as shown in the figure will be
Medium
Download our app for free and get startedPlay store
$\frac{1}{\mathrm{k}_{\mathrm{eq}}}=\frac{1}{2 \mathrm{k}_{1}}+\frac{1}{\mathrm{k}_{2}}$

$\mathrm{k}_{\mathrm{eq}}=\left[\frac{1}{2 \mathrm{k}_{1}}+\frac{1}{\mathrm{k}_{2}}\right]^{-1}$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    If two similar springs each of spring constant $K _{1}$ are joined in series, the new spring constant and time period would be changed by a factor
    View Solution
  • 2
    A body of mass $5\; kg$ hangs from a spring and oscillates with a time period of $2\pi $ seconds. If the ball is removed, the length of the spring will decrease by
    View Solution
  • 3
    The bob of a simple pendulum executes simple harmonic motion in water with a period $t$, while the period of oscillation of the bob is ${t_0}$ in air. Neglecting frictional force of water and given that the density of the bob is $(4/3) ×1000 kg/m^3$. What relationship between $t$ and ${t_0}$ is true
    View Solution
  • 4
    To make the frequency double of a spring oscillator, we have to
    View Solution
  • 5
    Four simple harmonic vibrations:

    ${y_1} = 8\,\cos\, \omega t;\,{y_2} = 4\,\cos \,\left( {\omega t + \frac{\pi }{2}} \right)$ ; 

    ${y_3} = 2\cos \,\left( {\omega t + \pi } \right);\,{y_4} = \,\cos \,\left( {\omega t + \frac{{3\pi }}{2}} \right)$ , 

    are superposed on each other. The resulting amplitude and phase are respectively;

    View Solution
  • 6
    The motion of a particle represented by $y\ =$ $\sin \omega t - \cos \omega t$ is
    View Solution
  • 7
    A particle executes $SHM$ on a straight line path. The amplitude of oscillation is $2\, cm.$ When the displacement of the particle from the mean position is $1\, cm,$ the numerical value of magnitude of acceleration is equal to the numerical value of magnitude of velocity. The frequency of $SHM$ (in $second^{-1}$) is :
    View Solution
  • 8
    $Assertion :$ Resonance is a special case of forced vibration in which the natural frequency of vibration of the body is the same as the impressed frequency of external periodic force and the amplitude of forced vibration is maximum.
    $Reason :$ The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force.
    View Solution
  • 9
    What will be the force constant of the spring system shown in the figure
    View Solution
  • 10
    For a body executing $S.H.M. :$

    $(a)$ Potential energy is always equal to its $K.E.$

    $(b)$ Average potential and kinetic energy over any given time interval are always equal.

    $(c)$ Sum of the kinetic and potential energy at any point of time is constant.

    $(d)$ Average $K.E.$ in one time period is equal to average potential energy in one time period.

    Choose the most appropriate option from the options given below:

    View Solution