EASY

Earn 100

The total energy of a particle executing linear S.H.M. is purely potential at both extreme points of its motion.

50% studentsanswered this correctly

Important Questions on Oscillations

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

The total energy of a body executing simple harmonic motion is

E

. The kinetic energy when the displacement is

1 / 3

of the amplitude

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

Obtain an expression for potential energy of a particle performing S.H.M. What is the value of potential energy at (i) Mean position and (ii) Extreme position.

EASY

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

At which position, the total energy of a particle executing linear S.H.M. is purely potential?

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

A particle is executing simple harmonic motion

(S H M)

of amplitude

A,

along the

x

-axis, about

x = 0 .

When its potential Energy

(P E)

equals kinetic energy

(K E),

the position of the particle will be:

EASY

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

A particle doing

S H M

having amplitude

5 c m,

mass

0.5 k g

and angular frequency

5 r a d / s

is at

1 c m

from mean position. Find potential energy and kinetic energy.

HARD

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

In damped oscillation mass

1 kg

and spring constant

= 100 N m^{- 1},

damping coefficient

= 0.5 kg s^{- 1} .

If the mass is displaced by

10 cm

from its mean position then what will be the value of its mechanical energy after

4

s

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

The total energy of a particle, executing simple harmonic motion is

Where

x

is the displacement from the mean position.

HARD

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

A particle is oscillating in SHM. What fraction of total energy is kinetic when the particle is at

\frac{A}{2}

from the mean position? (

A

is the amplitude of oscillation)

HARD

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

A particle undergoing simple harmonic motion has time dependent displacement given by

x (t) = A s i n \frac{π t}{90}

. The ratio of kinetic to potential energy of this particle at

t = 210 s

will be:

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

A particle is performing S.H.M between

x = - A

and

x = + A .

The position of particle where K.E. equals to P.E.

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

The displacement of a particle of mass 3 g executing simple harmonic motion is given by

Y = 3 s i n (0.2 t)

in SI units. The KE of the particle at a point which is at a distance equal to 1/3 of its amplitude from its mean position is

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

A particle is executing a simple harmonic motion of amplitude

A

. At a distance

x

from the centre, the particle receives a blow in the direction of motion which instantaneously doubles the velocity. Its new amplitude will be

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

The ratio of the K.E. and P.E. possessed by a body executing SHM when it is at distance of

\frac{1}{n}

of its amplitude from the mean position is

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

A particle is executing simple harmonic motion of amplitude

A

. When the potential energy of particle is half of its maximum potential energy, then displacement from its equilibrium position is

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

The total energy of a particle, executing simple harmonic motion is

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

In SHM restoring force is

F = - k x

, where

k

is force constant,

x

is displacement and A is amplitude of motion, then total energy depends upon

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

A body is executing simple harmonic motion. At a displacement x from mean position, its potential energy is E₁ = 2J and at a displacement y from mean position, its potential energy is E₂ = 8J. The potential energy E at a displacement (x + y) from mean position is

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

The ratio of kinetic energy at mean position to potential energy at

\frac{A}{2}

(

A

is the amplitude) of a particle performing SHM is (Consider the mean position as reference point)

MEDIUM

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

The displacement of two identical particles executing SHM are represented by equations,

x_{1} = 4 sin (10 t + \frac{π}{6})

and

x_{2} = 5 cos ω t

For what value of

ω

, energy of both the particles is same?

EASY

Physics>Waves and Oscillations>Oscillations>Energy of a Particle Performing S.H.M

Potential energy at the mean position of SHM is _____.

The total energy of a particle executing linear S.H.M. is purely potential at both extreme points of its motion.

Important Questions on Oscillations

Learn and Prepare for any exam you want !