Solve Study Textbooks Guides

Use app

Login

>>Class 11
>>Physics
>>Oscillations
>>Velocity and Acceleration in SHM
>> $If the displacement x and velocity v of$

Question

If the displacement $x$ and velocity $v$ of a particle executing S.H.M are related through the expression $4 v^{2} = 25 - x^{2}$ , then its maximum displacement in meters is

A

1

B

2

C

5

D

6

Medium

Open in App

Updated on : 2022-09-05

Solution

Verified by Toppr

Correct option is C)

$v = ω A^{2} - x^{2}$
$4 v^{2} = 5^{2} - x^{2} ⟹ v = \frac{1}{2} (5^{2} - x^{2})$
Comparing the equation with the standard equation we get $A =$ 5m

Solve any question of Oscillations with:-

Patterns of problems

Was this answer helpful?

0

0

Similar questions

A particle performs SHM with a period $T$ and amplitude $a$ . The mean velocity of particle over the time interval during which it travels a distance $a / 2$ from the extreme position is:

The maximum displacement of a particle executing SHM from its mean position is 2 cm and its time period is 1 s. The equation of its displacement will be

The displacement-time graph of a particle executing SHM is shown in the figure. Then

135382

This question has multiple correct options

A particle is executing SHM with amplitude $A$ , time period $T$ , maximum acceleration $a_{0}$ and maximum velocity $v_{0}$ . It starts from mean position at $t = 0$ and at time $t$ it has the displacement $A / 2$ , acceleration $a$ and velocity $v$ , then

This question has multiple correct options

If $x$ , $v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $T$ , then, which of the following does not change with time?

More From Chapter

View chapter >

Revise with Concepts

Velocity and Acceleration in SHM

ExampleDefinitionsFormulaes

Graphical Representation of Displacement, Velocity and Acceleration

ExampleDefinitionsFormulaes

Learn with Videos

Velocity and Acceleration in terms of Displacement

Shortcuts & Tips

Important Diagrams

Common Misconceptions

Problem solving tips

Memorization tricks

Practice more questions

BITSAT Questions

Medium Questions