Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 71

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For a particle executing simple harmonic motion, the kinetic energy $K$ is given by, $K = K_{0} \cos^{2} ω t .$ The maximum value of potential energy is

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Important Questions on Simple Harmonic Motion

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 72

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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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 73

The kinetic energy and potential energy of a particle executing simple harmonic motion will be equal, when displacement (amplitude

= a

) is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 74

The total energy of the body executing SHM is

E

. Then the kinetic energy when the displacement is half of the amplitude is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 75

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,

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 76

The angular velocity and the amplitude of a simple pendulum is

ω

and

a

, respectively. At a displacement

X

from the mean position if its kinetic energy is

T

and potential energy is

V

, thén the ratio of

T

to

V

is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 77

When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude

A

is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 78

A particle of mass

10 gm

is describing SHM along a straight line with the period of

2 \sec

and amplitude of

10 cm

. Its kinetic energy when it is at

5 cm

from its equilibrium position is

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Alpha Question Bank for Medical: Physics>Chapter 19 - Simple Harmonic Motion>Exercise-1>Q 79

When the displacement is half of the amplitude. The ratio of potential energy to the total energy is -