Home
Class 11
PHYSICS
The displacement equation of a simple ha...

The displacement equation of a simple harmonic motion is `x=Asin(omegat+phi)`. Show that the relation between velocity v and acceleration a of the motion is `omega^(2)v^(2)+a^(2)=omega^(4)A^(2)`.

Answer

Step by step text solution for The displacement equation of a simple harmonic motion is x=Asin(omegat+phi). Show that the relation between velocity v and acceleration a of the motion is omega^(2)v^(2)+a^(2)=omega^(4)A^(2). by PHYSICS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    CHHAYA PUBLICATION|Exercise HOTS NUMERICAL PROBLEMS|22 Videos

  • SIMPLE HARMONIC MOTION

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|3 Videos

  • SIMPLE HARMONIC MOTION

    CHHAYA PUBLICATION|Exercise PROBLEM SET - I|27 Videos

  • ROTATION OF RIGID BODIES

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|10 Videos

  • STATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|3 Videos

Similar Questions

Explore conceptually related problems

Equation of a simple harmonic motion is y=2sin(4t+pi/6) . Find out its period and initial phase.

If the angular frequency of a particle executing SHM is omega and its maximum velocity is v_(m) , then show that the relation between its velocity v and acceleration a is a=-omegasqrt(v_(m)^(2)-v^(2)) .

Knowledge Check

  • What is the phase difference between two simple harmonic motions represents by x_1=Asin(omegat+pi/6) and x_2=Acosomegat ?

    A
    `pi/6`
    B
    `pi/3`
    C
    `pi/2`
    D
    `2pi/3`

    • Similar Questions

    Explore conceptually related problems

    The equation of simple harmonic motion of a source is (d^2x)/(dt^2)+px=0 , find the time period.

    Show that the equation x=Asinomegat represents a simple harmonic motion.

    The equation x=(sint+cost) cm represents a simple harmonic motion along x-axis. Determine the amplitude, time period maximum velocity and maximum acceleration for the motion.

    Write the phase difference between the velocity and acceleration of a particle undergoing a simple harmonic motion.

    The equation x=(sqrt3sinpit+cospit) cm represents a simple harmonic motion x-axis. Determine the amplitude, time period, maximum velocity and maximum acceleration for the motion.

    A simple harmonic motion is described by a = -16x where a is acceleration and x is the displacement in meter. What is the time period?

    Show that the equation x=Asin(omegat-alpha) is the mathematical representation of a simple harmonic motion. Find the time period and the maximum acceleration of the motion.

    Home
    Profile