The angular amplitude of a simple pendulum is $\theta_0$. The maximum tension in its string will be
  • A$mg \left(1-\theta_0\right)$
  • B$mg \left(1+\theta_0\right)$
  • C$mg \left(1-\theta_0^2\right)$
  • D$mg \left(1+\theta_0^2\right)$
AIIMS 2016, Diffcult
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
    A simple harmonic oscillator has a period of $0.01 \,sec$ and an amplitude of $0.2\, m$. The magnitude of the velocity in $m{\sec ^{ - 1}}$ at the centre of oscillation is
    View Solution
  • 2
    A particle of mass $m$ undergoes oscillations about $x=0$ in a potential given by $V(x)-\frac{1}{2} k x^2-V_0 \cos \left(\frac{x}{a}\right)$, where $V_0, k, a$ are constants. If the amplitude of oscillation is much smaller than $a$, the time period is given by
    View Solution
  • 3
    The metallic bob of simple pendulum has the relative density $5$. The time period of this pendulum is $10\,s$. If the metallic bob is immersed in water, then the new time period becomes $5 \sqrt{ x } s$. The value of $x$ will be.
    View Solution
  • 4
    Two springs of force constants $300\, N/m$ (Spring $A$) and $400\, N/m$ (Spring $B$) are joined together in series . The combination is compressed by $8.75\, cm$. The ratio of energy stored in $A$ and $B$ is  $\frac{{{E_A}}}{{{E_B}}}$.  Then $\frac{{{E_A}}}{{{E_B}}}$ is equal to
    View Solution
  • 5
    The amplitude of an oscillating simple pendulum is $10\,cm$ and its period is $4\, sec$. Its speed after $1\, sec$ after it passes its equilibrium position, is ... $m/s$
    View Solution
  • 6
    A particle in $S.H.M.$ is described by the displacement function $x(t) = a\cos (\omega t + \theta )$. If the initial $(t = 0)$ position of the particle is $1\, cm  $ and its initial velocity is $\pi \,cm/s$. The angular frequency of the particle is $\pi \,rad/s$, then it’s amplitude is
    View Solution
  • 7
    A particle executes $S.H.M.,$ the graph of velocity as a function of displacement is :-
    View Solution
  • 8
    To find the spring constant $(k)$ of a spring experimentally, a student commits $2 \%$ positive error in the measurement of time and $1 \%$ negative error in measurement of mass. The percentage error in determining value of $\mathrm{k}$ is :
    View Solution
  • 9
    In forced oscillations, a particle oscillates simple harmonically with a frequency equal to
    View Solution
  • 10
    A body of mass $5\; kg$ hangs from a spring and oscillates with a time period of $2\pi $ seconds. If the ball is removed, the length of the spring will decrease by
    View Solution