Time period of pendulum, on a satellite orbiting the earth, is
  • A$1 / \pi$
  • B
    zero
  • C$\pi$
  • D
    infinity
AIIMS 2016, 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
    Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one-dimension. For such systems, phase space is a plane in which position is plotted along horizontal axis and momentum is plotted along vertical axis. The phase space diagram is $x(t)$ vs. $p(t)$ curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity is a straight line as shown in the figure. We use the sign convention in which position or momentum upwards (or to right) is positive and downwards (or to left) is negative. $Image$

    $1.$ The phase space diagram for a ball thrown vertically up from ground is

    mcq $Image$

    $2.$ The phase space diagram for simple harmonic motion is a circle centered at the origin. In the figure, the two circles represent the same oscillator but for different initial conditions, and $E_1$ and $E_2$ are the total mechanical energies respectively. Then $Image$

    $(A)$ $ E_1=\sqrt{2} E_2$ $(B)$ $ E_1=2 E_2$

    $(C)$ $ E_1=4 E_2$ $(D)$ $ E_1=16 E_2$

    $3.$ Consider the spring-mass system, with the mass submerged in water, as shown in the figure. The phase space diagram for one cycle of this system is $Image$

    mcq $Image$

    Give the answer question $1,2$ and $3.$

    View Solution
  • 2
    A simple pendulum is set into vibrations. The bob of the pendulum comes to rest after some time due to
    View Solution
  • 3
    A spring mass system preforms $S.H.M.$ If the mass is doubled keeping amplitude same, then the total energy of $S.H.M.$ will become :
    View Solution
  • 4
    The kinetic energy of a particle executing $S.H.M.$ is $16\, J$ when it is in its mean position. If the amplitude of oscillations is $25\, cm$ and the mass of the particle is $5.12\, kg$, the time period of its oscillation is
    View Solution
  • 5
    If a body of mass $0.98\, kg$ is made to oscillate on a spring of force constant $4.84\, N/m$, the angular frequency of the body is ..... $ rad/s$
    View Solution
  • 6
    The displacement $x$ (in metre) of a particle in, simple harmonic motion is related to time t (in seconds) as

    $x = 0.01\cos \left( {\pi \,t + \frac{\pi }{4}} \right)$

    The frequency of the motion will be

    View Solution
  • 7
    A particle is moving in a circle with uniform speed. Its motion is
    View Solution
  • 8
    A particle executes linear simple harmonic motion with an amplitude of $2\, cm$. When the particle is at $1\, cm$ from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
    View Solution
  • 9
    A system is oscillating with undamped simple harmonic motion. Then the
    View Solution
  • 10
    A damped harmonic oscillator has a frequency of $5$ oscillations per second. The amplitude drops to half its value for every $10$ oscillations. The time it will take to drop to $\frac{1}{1000}$ of the original amplitude is close to .... $s$
    View Solution