1. What is the affect of Coriolis force on freely falling body at the earth?

2. A particle is executing SHM in air. Name the type of oscillation and write the differential equation of motion.

3. Define bandwidth of resonance. What is the relation between bandwidth and relaxation time?

4. Amplitude of forced vibration is given by

A = f₀  [ (ω₀² − p²)² + p²/τ² ]^−1/2

where the symbols have their usual meanings.
Discuss with the help of suitable graph the variations of A with ω for

(i) low τ

(ii) high τ.

5. Write a note on fictitious force.

6. Calculate the deviation of a freely falling body from a height of 100 m at latitude 45° N due to Coriolis acceleration.

7. What is resonance? Define sharpness of resonance and quality factor.

8. What is the equation of SHM? Explain it.

9. Find an expression of kinetic energy of brs a body executing SHM.

10. Define sharpness of resonance.

11. What is quality factor?

12. What are the important characteristics of SHM?

13. Show that total energy of a body executing SHM is constant at any instant.

14. Write short notes on non-inertial frames and fictitious forces.

15. Find the condition of resonance.

16. If the displacement of a moving point at any instant of time t is given by

x = acos ωt+ bsin ωt
where a and b are constants and ω is the angular frequency. Show that the motion is simple harmonic.

17. What is meant by simple harmonic motion? Mention some of its properties.

18. What is Coriolis force? Mention its one application.

19. Obtain the differential equation of SHм and solve it.

20. Show that total energy is conserved during simple harmonic motion.

21. Obtain the transformation equation for potential velocity for a uniformly rotating frame of reference. Show that such a frame is non-inertial in nature.

22. What are fictitious and Coriolis forces ?

23. Define resonance and sharpness of resonance.

24. Find an expression of kinetic energy of a body executing SHM.

25. What are the important characteristics of SHM? Show that the time period of simple harmonic oscillator is given by

T = 2π √ displacement acceleration

26. Explain briefly forced and damped oscillations. Write down the differential equation of damped oscillation and solve it to find the general equation of displacement.

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27. Write the differences between inertial and non-inertial frames of references. Show that a rotating frame is a non-inertial frame of reference.

28. What are the important characteristics of SHM? Set up the differential equation of motion of a body executing simple harmonic motion.

29. What are the characteristics of simple harmonic motion?

30. Obtain the differential equation of simple harmonic motion.

31. Distinguish between inertial and non-inertial frames.

32. The displacement of a particle executing SHM is represented by

y = 10 sin (100πt + π/6) m

Find its
(i) Amplitude
(ii) Angular frequency
(iii) Frequency
(iv) Time period

33. Obtain the expressions for average kinetic energy and average potential energy of a particle executing simple harmonic motion.

34. Obtain the expressions of fictitious forces appearing in a uniformly rotating frame of reference.

35. Explain the effect of Coriolis force on a freely falling body.