What will be the force constant of the spring system shown in the figure
Medium
Download our app for free and get startedPlay store
(b)In series combination
$\frac{1}{{{k_S}}} = \frac{1}{{2{k_1}}} + \frac{1}{{{k_2}}}$
==> ${k_S} = {\left[ {\frac{1}{{2{k_1}}} + \frac{1}{{{k_2}}}} \right]^{ - 1}}$
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
    On a planet a freely falling body takes $2 \,sec$ when it is dropped from a height of $8 \,m$, the time period of simple pendulum of length $1\, m$ on that planet is ..... $\sec$
    View Solution
  • 2
    If $x=5 \sin \left(\pi t+\frac{\pi}{3}\right) \mathrm{m}$ represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are
    View Solution
  • 3
    Two simple pendulums of length $0.5\, m$ and $2.0\, m$ respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed .... oscillations.
    View Solution
  • 4
    The function $(sin\,\omega t -cos\,\omega t)$ represents
    View Solution
  • 5
    The period of a simple pendulum is doubled, when
    View Solution
  • 6
    A mass $M$ is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes $S.H.M.$ of time period $T$. If the mass is increased by m, the time period becomes $5T/3$. Then the ratio of $m/M$ is
    View Solution
  • 7
    A particle performs simple harmonic oscillation of period $T$ and the equation of motion is given by; 

    $x = a\,\sin \,\left( {\omega t + \pi /6} \right)$

    After the elapse of what fraction of the time period the velocity of the particle will be equal to half of its maximum velocity?

    View Solution
  • 8
    Identify the correct definition
    View Solution
  • 9
    A function is represented by equation$y = A\,\cos \,\omega t\,\cos \,2\omega t + A\,\sin \,\omega t\,\sin \,2\omega t$.
    Than the nature of the function is
    View Solution
  • 10
    Two oscillating systems; a simple pendulum and a vertical spring-mass-system have same time period of motion on the surface of the Earth. If both are taken to the moon, then-
    View Solution