Periodic Motion

The restoring force of a system of mass executing SHM is $4 \mathrm{N}$. If its displacement is $4 \mathrm{cm}$ then the force constant is

 The equation of motion is represented by $y=\sin \omega t+\cos \omega t$. The time period of periodic motion is 

A particle is fastened at the end of a string and is whirled in a vertical circle with the other end of the string being fixed. The motion of the particle is,

A body is vibrating in simple harmonic motion. If its acceleration is $12 \mathrm{cm} {\mathrm{s}}^{-2}$ at a displacement $3 \mathrm{cm},$ then time period is

In the system shown, the mass $m=2 \mathrm{kg}$ oscillates in a circular arc of amplitude $60°,$ the minimum value of coefficient of friction between mass $=8 \mathrm{kg}$ and surface of table to avoid slipping is :

Find the time period of the body (mass $m$), shown in the figure, when displaced slightly in the vertical direction. 

A particle is acted upon by a force $F$ which varies with position $x$ as shown in figure. If the particle at $x=0$ has kinetic energy of $25 J,$ then the kinetic energy of the particle at $x=16 \mathrm{m}$ is :-

Identify the option which is not a simple harmonic motion.

After a period of how many years does Halley’s Comet reappears?

The $x\mathit{-}t$ graph that does not represent periodic motion is

Among the following the one that is not a periodic motion is

When a particle is moving with constant speed around a circular path the motion is

An object of mass $0.2 \mathrm{kg}$ executes SHM with a frequency of $\frac{16}{\pi } \mathrm{Hz}$ along $x$-axis. At $x=0.04 \mathrm{m}$, the object's $\mathrm{KE}$ and $\mathrm{PE}$ are $0.5 \mathrm{J}$ and $0.4 \mathrm{J}$, respectively. The amplitude of oscillation is ______ $\mathrm{cm}$. Write the value to the nearest integer.

Two large insulating plates having surface charge densities $+\mathrm{ }\mathrm{\sigma }$ $–\mathrm{\sigma }$ are fixed at a distance $\mathrm{d}$ apart as shown in the figure. A small test charge $\mathrm{q}$ of mass $\mathrm{m}$ is attached to two identical springs and then released from rest with the springs in their natural lengths. If there is no gravity then $\mathrm{q}$ will

The circular motion of a particle with constant speed is

The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of a simple pendulum on the Earth is $2s.$ The period of oscillation of the same pendulum on the planet would be:

A ball of mass $m$ is attached at the end of light rod of length $l$ as shown in figure. Time period of small vertical oscillations of ball is




द्रव्यमान $m$ की एक गेंद को चित्र में दर्शाए अनुसार लंबाई $l$ की हल्की छड़ के सिरे पर संयोजित किया जाता है। तब गेंद के अल्प ऊर्ध्‍वाधर दोलनों का आवर्तकाल है

A sample of oxygen is undergoing thermodynamic process $ABCD$ as shown by the $P–V$ indicator diagram. What fraction of net heat supplied during the process ( $ABCD$ ) is utilised to increase internal energy of the gas?

A ring of mass $m$ is pivoted at a point on its periphery and free to oscillates in vertical plane. A particle of same mass is attached at the lowest point of the ring then time period of small oscillations is

If the time period of oscillations of mass $m$ in diagram 1, 2 and 3 are $T_1, T_2$ and $T_3$ respectively, then