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IMPORTANT

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The displacement $(x)$ of a particle as a function of time $(t)$ is given by $x = a \sin (b t + c)$ where $a, b$ and $c$ are constants of motion. Choose the correct statements from the following.

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Important Questions on Linear and Angular Simple Harmonic Motion

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 3

When the point of suspension of pendulum is moved, its period of oscillation

MEDIUM

Physics

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PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 4

A particle moves in the

x - y

plane such that its position vector changes with time according to the equation,

\vec{r} = (\hat{i} + 2 \hat{j}) A \cos ω t .

The motion of the particle is

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 5

For a body executing SHM with amplitude

A

, time period

T

, maximum velocity

v_{\max}

and phase constant zero, which of the following statements are correct for

0 \leq t \leq \frac{T}{4}

(

y

is displacement from mean position)?

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 6

At two particular closest instants of time

t_{1}

and

t_{2}

the displacements of a particle performing SHM are equal. At these instants

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 7

For the spring pendulum shown in the given figure, the value of spring constant is $3 \times 10^{4} {Nm}^{- 1}$ and amplitude of oscillation is $0.1 m .$ The total mechanical energy of oscillating system is $200 J .$ Mark out the correct option(s).

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MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 8

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency

ω

.The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time :

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 9

For a simple harmonic motion with given angular frequency

ω,

two arbitrary initial conditions are necessary and sufficient to determine the motion completely. These initial conditions may be

EASY

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 5 - Linear and Angular Simple Harmonic Motion>Exercises>Q 10

The potential energy

U

of a body of unit mass moving in one dimensional conservative force field is given by

U = x^{2} - 4 x + 3 .

All units are in SI. For this situation mark out the correct statement(s).

The displacement x of a particle as a function of time t is given by x=asin(bt+c) where a, b and c are constants of motion. Choose the correct statements from the following.

Important Questions on Linear and Angular Simple Harmonic Motion

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The displacement $(x)$ of a particle as a function of time $(t)$ is given by $x = a \sin (b t + c)$ where $a, b$ and $c$ are constants of motion. Choose the correct statements from the following.