The displacement of a particle executing $SHM$ is given by $y=0.25 \sin 200 t$ $cm$. The maximum speed of the particle is $.........cm s^{-1}$
AIIMS 2016, Easy
Download our app for free and get started
(c)
Given : $y=0.25 \sin 200 t$
Speed $=\frac{d y}{d t}=0.25 \times 200 \cos 200 t$
Max speed $=0.25 \times 200=50\,cm\,s ^{-1}$
Download our appand 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
- 1A particle of mass m is attached to a spring (of spring constant k) and has a natural angular frequency ${\omega _0}$ - An external force $F (t)$ proportional to $\cos \omega \,t((\omega \ne {\omega _0})$ is applied to the oscillator. The time displacement of the oscillator will be proportional toView Solution
- 2silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of $10^{12} /sec$. What is the force constant of the bonds connecting one atom with the other? ................ $\mathrm{N/m}$ (Mole wt. of silver $= 108 $ andAvagadro number $= 6.02 \times 10^{23}$ $gm \ mole^{ -1}$ )View Solution
- 3A simple pendulum suspended from the ceiling of a stationary lift has period $T_0$. When the lift descends at steady speed, the period is $T_1$, and when it descends with constant downward acceleration, the period is $T_2$. Which one of the following is true?View Solution
- 4The average speed of the bob of a simple pendulum oscillating with a small amplitude $A$ and time period $T$ isView Solution
- 5View SolutionIn S.H.M. maximum acceleration is at
- 6A particle is executing $SHM$ with amplitude $A,$ time period $T,$ maximum acceleration $a_o$ and maximum velocity $v_0.$ Its starts from mean position at $t=0$ and at time $t,$ it has the displacement $A/2,$ acceleration $a$ and velocity $v$ thenView Solution
- 7A man weighing $60\, kg$ stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude $0.1\, m$ and frequency $\frac{2}{\pi }Hz$. Which of the following statement is correctView Solution
- 8A simple pendulum is attached to the roof of a lift. If time period of oscillation, when the lift is stationary is $T$. Then frequency of oscillation, when the lift falls freely, will beView Solution
- 9For a particle executing $S.H.M.$ the displacement $x$ is given by $x = A\cos \omega t$. Identify the graph which represents the variation of potential energy $(P.E.)$ as a function of time $t$ and displacement $x$View Solution
- 10View SolutionThe velocity of simple pendulum is maximum at