Which of the following is a necessary and sufficient condition for S.H.M.
  • A
    Constant period
  • B
    Constant acceleration
  • C
    Proportionality between acceleration and displacement from equilibrium position
  • D
    Proportionality between restoring force and displacement from equilibrium position
Easy
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
    The potential energy of a particle with displacement $X$ is $U(X)$. The motion is simple harmonic, when ($K$ is a positive constant)
    View Solution
  • 2
    When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude $a$ is
    View Solution
  • 3
    Two simple pendulums whose lengths are $100 cm$ and $121 cm$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will the two be in phase again
    View Solution
  • 4
    A particle is subjected to two mutually perpendicular simple harmonic motions such that its $x$ and $y$ coordinates are given by ?

    $ x = 2 \sin \omega t \,;$  $ y = 2 \sin  \left( {\omega t + \frac{\pi }{4}} \right)$

    The path of the particle will be :

    View Solution
  • 5
    In the figure given below. a block of mass $M =490\,g$ placed on a frictionless table is connected with two springs having same spring constant $\left( K =2 N m ^{-1}\right)$. If the block is horizontally displaced through ' $X$ 'm then the number of complete oscillations it will make in $14 \pi$ seconds will be $.........$
    View Solution
  • 6
    A $LCR$ circuit behaves like a damped harmonic oscillator. Comparing it with a physical springmass damped oscillator having damping constant $\mathrm{b}$, the correct equivalence would be:
    View Solution
  • 7
    If a spring of stiffness $k$ is cut into two parts $A$ and $B$ of length $l_{A}: l_{B}=2: 3$, then the stiffness of spring $A$ is given by
    View Solution
  • 8
    lfa simple pendulum has significant amplitude (up to a factor of $1/e$ of original) only in the period between $t = 0\ s$ to $t = \tau \ s$, then $\tau$ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation ( due to viscous drag) proportional to its velocity with $b$ as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds
    View Solution
  • 9
    The velocity-time diagram of a harmonic oscillator is shown in the adjoining figure. The frequency of oscillation is ..... $Hz$
    View Solution
  • 10
    Two masses $M_{A}$ and $M_{B}$ are hung from two strings of length $l_{A}$ and $l_{B}$ respectively. They are executing SHM with frequency relation $f_{A}=2 f_{B}$, then relation
    View Solution