The oscillation of a body on a smooth horizontal surface is represented by the equation $x= Acos$$\omega t$ 

where $x=$ displacement at time $t$

$\omega =$ frequency of oscillation

Which one of the following graphs shows correctly the variation $a$ with $t$ ?

Here $a=$ acceleration at time $t$

$T=$ time period

  • A

  • B

  • C

  • D

AIPMT 2014, Medium
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
    Identify the function which represents a periodic motion.
    View Solution
  • 2
    The motion of a particle varies with time according to the relation $y = a(\sin \omega \,t + \cos \omega \,t)$, then
    View Solution
  • 3
    A circular disc of mass $10 \;kg$ is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be $1.5 \;s$. The radius of the disc is $15\; cm .$ Determine the torsional spring constant of the wire in $N\;m\;rad^{-1}$. (Torsional spring constant $\alpha$ is defined by the relation $J=-\alpha \theta,$ where $J$ is the restoring couple and $\theta$ the angle of twist).
    View Solution
  • 4
    In an angular $SHM$ angular amplitude of oscillation is $\pi $ $rad$ and time period is $0.4\,sec$ then calculate its angular velocity at angular displacement $ \pi/2 \,rad$. ..... $rad/sec$
    View Solution
  • 5
    If a particle is executing simple harmonic motion, then acceleration of particle
    View Solution
  • 6
    The displacement of a particle varies with time as $x = 12\sin \omega t - 16{\sin ^3}\omega t$ (in $cm$). If its motion is $S.H.M.$, then its maximum acceleration is
    View Solution
  • 7
    Identify the correct definition
    View Solution
  • 8
    The graph between velocity and position for a damped oscillation will be
    View Solution
  • 9
    A spring hangs vertically from the ceiling and a mass is attached to its free end. When the mass is pulled down and released, it oscillates vertically with simple harmonic motion of period $T$ . The variation with time $t$ of its distance from the ceiling is as shown. Which statement gives a correct deduction from this graph?
    View Solution
  • 10
    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