Home
Class 11
PHYSICS
While a particle executes linear simple ...

While a particle executes linear simple harmonic motion

A

its linear velocity and acceleration pass through their maximum and minimum values once in each oscillation.

B

Its linear velocity and acceleration pass through their maximum and minimum values twice in each oscillation.

C

its linear velocity and acceleration pass through their maximum and minimum values four times in each oscillation.

D

its linear velocity and acceleration always attain their peak values simlataneaously.

Text Solution

Verified by Experts

The correct Answer is:
B
The velocity is minimum (zero) at the extreme positon and maximum `(+-omegaA)` at the mean position.
The acceleration is maximum `(+-omega^2A)` at the extreme positions and minimum (zero) at the mean position. Since the particle crosses the mean and extreme position twice, during each oscillation, hence the result.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Multiple Correct|35 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Assertion Reasoning|6 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Subjective|21 Videos

  • KINETIC THEORY OF GASES AND FIRST LAW OF THERMODYNAMICS

    CENGAGE PHYSICS|Exercise Interger|11 Videos

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Interger type|3 Videos

Similar Questions

Explore conceptually related problems

The total energy of a particle executing simple harmonic motion is

Derive an expression for instantaneous velocity and acceleration of a particle executing simple harmonic motion.

Knowledge Check

  • While a particle executes simple harmonic motion, the rate of change of acceleration is maximum and minimum respectively at

    A
    the mean position and extreme positions
    B
    the extreme positions and mean position
    C
    the mean position alternatively
    D
    the extreme positions alternatively.

  • A particle executes linear simple harmonic motion with an amplitude of 2 cm . When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

    A
    `1/(2pisqrt3)`
    B
    `2pisqrt3`
    C
    `(2pi)/(sqrt3)`
    D
    `(sqrt3)/(2pi)`

  • A particle executes linear simple harmonic motion with an amplitude of 3 cm . When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then, its time period in seconds is

    A
    `(sqrt(5))/(pi)`
    B
    `(sqrt(5))/(2pi)`
    C
    `(4pi)/(sqrt(4))`
    D
    `(2pi)/(sqrt(3))`

    • Similar Questions

    Explore conceptually related problems

    A particle is executing linear simple harmonic motion of amplitude A. At what displacement is the energy of the particle half potential and half kinetic?

    A particle is executing linear simple harmonic motion of amplitude 'A'. The fraction of the total energy is the kinetic when the displacement is half of the amplitude is

    The phase of a particle executing simple harmonic motion is pi/2 when it has

    The ratio of the maximum velocity and maximum displacement of a particle executing simple harmonic motion is equal to

    The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

    Home
    Profile