List of top Physics Questions on simple harmonic motion

A particle executes simple harmonic oscillation with an amplitude $'a'$. The period of oscillation is $'T'$. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is
When a body is in resonance following physical quantity gradually increases?
Two particles execute SHM of the same amplitude and frequency along the same straight line. If they pass one another when going in opposite directions, each time their displacement is half their amplitude, the phase difference between them is
Time period of a spring mass system is $T$. If this spring is cut into two parts whose lengths are in the ratio $ 1:3 $ and the same mass is attached to the longer part, the new time period will be
The motion of a particle varies with time according to the relation $ y=a(\sin \omega t+\cos \omega t) $
A particle on the trough of a wave at any instant will come to the mean position after a time : ($T =$ time period)
Two simple harmonic motions are represented by the equations $y_{1}=0.1\,sin\left(100\,\pi t+\frac{\pi}{3}\right)$ and $y_{2}=0.1\,cos\,\pi\,t.$ The phase difference of the velocity of particle 1, with respect to the velocity of particle 2 is :
A body executing SHM has a maximum velocity of $ 1m{{s}^{-1}} $ and a maximum acceleration of $ 4m{{s}^{-2}}. $ Its amplitude in metre is:
If vibration of string is to be two times then tension in the string must be made :
The time period of a simple pendulum is to be doubled. Its length should be
A resonance air column of length $40\,cm$ resonates with a tuning fork of frequency $450 \,Hz$. Ignoring end correction, the velocity of sound in air will be :
The time period of a particle in simple harmonic motion is 8 second. At t = 0 it is at the mean position. The ratio of the distances travelled by it in the first and second seconds is:
The displacement-time graph of a particle executing SHM is as shown in the figure The corresponding force-time graph of particle is
The displacement of the motion of a particle is represent by a equation $y=A \sin \omega t+B \cos \omega t$ The motion of particle is
A steel wire $0.5\, m$ long has a total mass $kg$ and stretched with a tension of $800\, N$. The frequency with which it vibrates in its fundamental note will be :
A girl is swinging on a swinging plate form in sitting position when the girl stands up then the period of swinging?
The length of a simple pendulum executing simple harmonic motion is increased by $21\%$. The percentage increase in the time period of the pendulum of increased length is
The displacement of a particle varies according to the relation $x = 4(cos\, pt + sin \,pt).$ the amplitude of the particle is
A lift is ascending with an acceleration equal to g/3 What will be the time period of a simple pendulum suspended from its ceiling if its time period in stationary lift isT:
A simple harmonic oscillator oscillates with an amplitude A. At what displacement the kinetic energy and potential energies are equal:
Suppose a tunnel is dug along the diameter of earth. A particle is dropped from a point at a distance $h$ directly above the tunnel. The earth's density is assumed uniform and the friction is neglected, then
The displacement $y$ of a particle, if given by $y=4 \cos ^{2}(t / 2) \sin (1000 t)$. This expression may be considered to be a result of the superposition of how many simple harmonic motions?
Two identical straight wires are stretched so as to produce 6 beats/s when vibrating simultaneously. On changing the tension slightly in one of them, the beat frequency remains unchanged. Denoting by $T_1,T_2$ the higher and the lower initial tension in the strings, then it could be said that while making the above changes in tension
A particle oscillates in simple harmonic motion such that its speed and acceleration at distance 2 m from mean position are 4 m/s and 16 m/s2 respectively. Find the amplitude of oscillation of the particle.
A Cylindrical piece of cork of density of base area A and height h floats in a liquid of density \(\rho_l\) .The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period
\(T\) = \(2π\sqrt{\frac{h\rho}{\rho_lg}}\)
Where \(\rho\) is the density of cork. (Ignore damping due to viscosity of the liquid).