Periodic Motion

IMPORTANT

Periodic Motion: Overview

This topic covers concepts, such as, Periodic Motion & Oscillatory Motion etc.

Important Questions on Periodic Motion

EASY
IMPORTANT

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

EASY
IMPORTANT

 The equation of motion is represented by y=sinωt+cosωt. The time period of periodic motion is 

MEDIUM
IMPORTANT

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,

EASY
IMPORTANT

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

HARD
IMPORTANT

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

Question Image

MEDIUM
IMPORTANT

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

Question Image

EASY
IMPORTANT

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 m is :-

Question Image

EASY
IMPORTANT

Identify the option which is not a simple harmonic motion.

EASY
IMPORTANT

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

EASY
IMPORTANT

The x-t graph that does not represent periodic motion is

EASY
IMPORTANT

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

EASY
IMPORTANT

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

EASY
IMPORTANT

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

HARD
IMPORTANT

Two large insulating plates having surface charge densities + σ σ are fixed at a distance d apart as shown in the figure. A small test charge q of mass 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 q will


Question Image

EASY
IMPORTANT

The circular motion of a particle with constant speed is

MEDIUM
IMPORTANT

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:

HARD
IMPORTANT

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

Question Image


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

Question Image

HARD
IMPORTANT

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

Question Image

MEDIUM
IMPORTANT

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

Question Image

EASY
IMPORTANT

If the time period of oscillations of mass m in diagram 1, 2 and 3 are T1, T2 and T3 respectively, then

Question Image