Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 105

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A particle is executing $S . H . M .$ along a straight line. The graph showing the variation of kinetic, potential and total energy $K, U and T$ , respectively, with displacement is,

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Important Questions on Oscillations

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 106

The potential energy of a particle with displacement

x

is

U (x)

. The motion is simple harmonic, when (

k

is a positive constant),

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 107

A body of mass

1 kg

is executing simple harmonic motion. Its displacement

y cm

at

t seconds

is given by

y = 6 \sin (100 t + \frac{π}{4}) .

Its maximum kinetic energy is

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 108

The kinetic energy of a particle executing

S . H . M .

is

16 J

when it is at its mean position. If the mass of the particle is

0.32 kg

, then what is the maximum velocity of the particle?

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 109

The total energy of a particle executing

S . H . M .

is

80 J

. What is the potential energy when the particle is at a distance of

3 / 4

of amplitude from the mean position?

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 110

Maximum kinetic energy of a particle suspended from a spring in oscillating state is

5 J

and amplitude is

10 cm .

The force constant of the spring will be,

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 111

The graph in the figure shows how the displacement of a particle describing S.H.M. varies with time. Which one of the following statements is not true?

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 112

If

x, v, a

,

K E

and

P E

represent displacement, velocity, acceleration, kinetic energy and potential energy at any instant, respectively, for a particle executing

S . H . M .

, then which of the following statements is incorrect?

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Physics Crash Course MHT-CET>Chapter 7 - Oscillations>Exercise 1>Q 113

The potential energy of a particle executing

SHM

is

2.5 J

when its displacement is half of amplitude. The total energy of the particle is,