The graphs in figure show that a quantity $y$ varies with displacement $d$ in a system undergoing simple harmonic motion. Which graphs best represents the relationship obtained when $y$ is The time
Medium
Download our app for free and get startedPlay store
Distance versus time curve is like the rotated curve $IV$ for an $SHM$ since distance follows a $wave-lke$ path about the mean position. Thus $time-displacement$ curve will be it's rotated version, or curve $IV$
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 force-deformation equation for a nonlinear spring fixed at one end is $F =4x^{1/ 2}$  , where $F$ is the force (expressed in newtons) applied at the other end and $x$ is the deformation expressed in meters
    View Solution
  • 2
    There is a simple pendulum hanging from the ceiling of a lift. When the lift is stand still, the time period of the pendulum is $T$. If the resultant acceleration becomes $g/4,$ then the new time period of the pendulum is
    View Solution
  • 3
    Two particles are executing S.H.M. The equation of their motion are ${y_1} = 10\sin \left( {\omega \,t + \frac{{\pi T}}{4}} \right),$ ${y_2} = 25\sin \,\left( {\omega \,t + \frac{{\sqrt 3 \pi T}}{4}} \right)$. What is the ratio of their amplitude
    View Solution
  • 4
    Identify the correct definition
    View Solution
  • 5
    pendulum made of a uniform wire of cross sectional area $A$ has time period $T$. When an additional mass $M$ is added to its bob, the time period changes to $T_M$. If the Young's modulus of the material of the wire is $Y$ then $\frac{1}{Y}$ is equal to : ($g$ = gravitational acceleration)
    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
    The amplitude of a particle executing $SHM$ is $4 \,cm$. At the mean position the speed of the particle is $16\, cm/sec$. The distance of the particle from the mean position at which the speed of the particle becomes $8\sqrt 3 \,cm/s,$ will be .... $cm$
    View Solution
  • 8
    A particle performs simple harmonic motion with a period of $2$ second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is $\frac{1}{ a } s .$ The value of $'a'$ to the nearest integer is.........
    View Solution
  • 9
    A particle is performing $SHM$ according to the equation $x = (3\, cm)$ $\sin \,\left( {\frac{{2\pi t}}{{18}} + \frac{\pi }{6}} \right)$ where $t$ is in seconds. The distance travelled by the particle in $36\, s$ is ..... $cm$
    View Solution
  • 10
    The plot of velocity $(v)$ versus displacement $(x)$ of a particle executing simple harmonic motion is shown in figure. The time period of oscillation of particle is .........
    View Solution