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For a body performing $S H M$ , at a distance $\frac{A}{\sqrt{2}}$ , then correct relation between $K E$ and $P E$ will be

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Important Questions on Simple Harmonic Motion

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 12

A metal rod of length

L

and mass

m

is pivoted at one end. A thin disc of mass

M

and radius

R (< L)

is attached at its centre to the free end of the rod. Consider two ways the disc is attached.
Case A -the disc is not free to rotate about its centre.
Case B-the disc is free to rotate about its centre. The rod disc system performs

SHM

in vertical plane after being released from the same displaced position.
Which of the following statement(s) is/are correct?

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 14

A mass

M

, attached to a horizontal spring, executes

SHM

with amplitude

A_{1} .

When the mass

M

passes through its mean position, then a smaller mass

m

is placed over it and both of them move together with amplitude

A_{2}

. The ratio of

(\frac{A_{1}}{A_{2}})

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 16

A wooden cube (density of wood

d

) of side

l

floats in a liquid of density

ρ

with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period

T

then

T

is equal to

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 18

The amplitude of a damped oscillator becomes

{\frac{1}{3}}^{rd}

2 s

. If its amplitude after

6 s

\frac{1}{n}

times the original amplitude, the value of

n

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Objective Problems>Q 21

If two springs

A

and

B

with spring constants

2 k

and

k

, are stretched separately by same suspended weight, then the ratio between the work done in stretching

A

and

B

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Excercise 2>Q 1

A cylindrical plastic bottle of negligible mass is filled with

310 mL

of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency

ω

. If the radius of the bottle is

2.5 cm

, then

ω

is close to (take density of water

= 10^{3} kg m^{- 3}

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Excercise 2>Q 2

A particle executes simple harmonic motion with an amplitude of

5 cm

. When the particle is at

4 cm

from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time (in

seconds

) is,

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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 11 - Simple Harmonic Motion>Excercise 2>Q 4

A simple harmonic motion is represented by

y = 5 (\sin 3 π t + \sqrt{3} \cos 3 π t) cm

. The amplitude and time period of the motion are

For a body performing SHM, at a distance A2, then correct relation between KE and PE will be

Important Questions on Simple Harmonic Motion

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For a body performing $S H M$ , at a distance $\frac{A}{\sqrt{2}}$ , then correct relation between $K E$ and $P E$ will be