A particle is executing simple harmonic motion with amplitude r and frequency ω. Find the velocity and acceleration of particle at mean and extreme positions.

Solution

Given a particle is executing Simple Harmonic Motion.
The position, velocity and acceleration of particle executing simple harmonic motion is given by,

Position comma space straight y space equals space straight r space s i n space omega t V e l o c i t y comma space straight v space equals space straight omega square root of straight r squared minus straight y squared end root a n d space space space A c c e l e r a t i o n comma space straight a equals negative straight omega squared straight y

Some More Questions From Mechanical Properties of Fluids Chapter

What determines the natural frequency of an oscillator?

For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

A particle is executing simple harmonic motion with amplitude r and frequency ω. Find the velocity and acceleration of particle at mean and extreme positions.

Some More Questions From Mechanical Properties of Fluids Chapter

What determines the natural frequency of an oscillator?

Is there any relation between uniform circular motion and simple harmonic motion?

What is periodic motion?

Write down the expression for the instantaneous velocity and acceleration of particle vibrating in simple harmonic motion.

How do you define the mean position of particle executing simple harmonic motion?

Define amplitude.

What is the net displacement of the particle executing simple harmonic motion in one complete oscillation?

Are all the periodic motions simple harmonic?

Does the time period of particle vibrating in simple harmonic motion depend upon its displacement?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction