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Define phase at time t and initial phase...

Define phase at time t and initial phase.

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The motion of a particle executing simple harmonic motion is described by the displacement function, x(t)=Acos(omegat+phi) . If the initial (t = 0) position of the particle is 1 cm and its initial velocity is omega cm/s, what are its amplitude and initial phase angle ? The angular frequency of the particle is pi s^(-1) . If instead of the cosine function, we choose the sine function to describe the SHM : x = B sin (omegat + alpha) , what are the amplitude and initial phase of the particle with the above initial conditions.

A particle is executing SHM given by x = A sin (pit + phi) . The initial displacement of particle is 1 cm and its initial velocity is pi cm//sec . Find the amplitude of motion and initial phase of the particle.

The displacement of a simple harmonic oscillator is given by y= 0.40 sin (440t +0.61) . For this, what are the value of initial phase?

Explain by drawing graphs of displacement x(t) to t , velocity v(t) to t and acceleration a(t) to t of SHM for initial phase zero.

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KUMAR PRAKASHAN-OSCILLATIONS-SECTION-A (TRY YOURSELF)
  1. Who decides the characteristics of SHM?

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  2. Define amplitude of SHM and draw two different SHM in one figure havi...

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  3. Define phase at time t and initial phase.

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  4. Define periodic motion.

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  5. Define periodic time and angular frequency and obtain the relation bet...

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  6. What is the projection of uniform circular motion?

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  7. What is reference particle and reference circle?

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  8. What is the amplitude of particle executing uniform circular motion?

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  9. What is the angular frequency of reference particle executing SHM?

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  10. SHM is associated with what kind of motion?

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  11. What is the linear velocity of a particle of a uniform circular motion...

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  12. Give the direction of velocity at a point on the circle in uniform cir...

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  13. Write the formula of instantaneous velocity of SHM particle along X-ax...

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  14. Where is maximum acceleration and zero velocity of a particle axecutin...

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  15. Write the formula of instantaneous of SHM particle along X-axis.

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  16. Where is maximum acceleration and zero acceleration of a particle exec...

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  17. Give the direction of velocity of SHM particle.

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  18. Give the direction of acceleration of SHM particle.

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  19. Obtain the ratio of maximum acceleration and maximum velocity of a SHM...

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  20. Write the phase difference between displacement and velocity, displace...

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