If the maximum velocity and maximum acceleration of a particle executing $SHM$ are equal in magnitude, the time period will be .... $\sec$
Easy
Download our app for free and get startedPlay store
$\mathrm{V}_{\max }=\mathrm{a}_{\max }$

$\omega \mathrm{A}=\omega^{2} \mathrm{A} \quad \Rightarrow \quad \omega=1$

$\mathrm{T}=2 \pi=6.28 \mathrm{s}$

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 particle of mass $2 \,kg$, executing $SHM$ has amplitude $20 \,cm$ and time period $1 \,s$. Its maximum speed is ......... $m / s$
    View Solution
  • 2
    A simple pendulum with a bob of mass $‘m’$ oscillates from $A$ to $ C$ and back to $A$ such that $PB$ is $H.$ If the acceleration due to gravity is $‘g’$, then the velocity of the bob as it passes through $B$ is
    View Solution
  • 3
    A particle is doing simple harmonic motion of amplitude $0.06 \mathrm{~m}$ and time period $3.14 \mathrm{~s}$. The maximum velocity of the particle is. . . . .. . $\mathrm{cm} / \mathrm{s}$.
    View Solution
  • 4
    Infinite springs with force constant $k$, $2k$, $4k$ and $8k$.... respectively are connected in series. The effective force constant of the spring will be
    View Solution
  • 5
    A $S.H.M.$ is represented by $x = 5\sqrt 2 (\sin 2\pi t + \cos 2\pi t).$ The amplitude of the $S.H.M.$ is .... $cm$
    View Solution
  • 6
    A system of two identical rods ($L-$ shaped) of mass $m$ and length $l$ are resting on a peg $P$ as shown in the figure. If the system is displaced in its plane by a small angle $\theta ,$ find the period of oscillations :
    View Solution
  • 7
    A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is $20\; m/s^2$ at a distance of $5\; m$ from the mean position. The time period of oscillation is
    View Solution
  • 8
    The average speed of the bob of a simple pendulum oscillating with a small amplitude $A$ and time period $T$ is
    View Solution
  • 9
    A weightless spring which has a force constant oscillates with frequency $n$ when a mass $m$ is suspended from it. The spring is cut into two equal halves and a mass $2m $ is suspended from it. The frequency of oscillation will now become
    View Solution
  • 10
    The time period of a simple pendulum of length $L$ as measured in an elevator descending with acceleration $\frac{g}{3}$ is
    View Solution