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Chapter 15: Gravitation
   • Chapter 15 Gravitation  
Chapter 16: Statistical Mechanics & Thermodynamics
   • Chapter 16 Statistical Mechanics & Thermod...  
Chapter 17: Simple Harmonic Motion
   • Chapter 17 Simple Harmonic Motion  

1. If we halve the length of a simple pendulum to its original length, what is the alteration in the period of this pendulum? What is its new frequency?
2. If the amplitude of vibration of a body executing SHM is doubled, what will happen to the maximum kinetic energy?
3. When marching soldiers are about to cross a bridge, they break steps. Why?
4. Suppose that a driving force has half frequency as compared to the frequency of an oscillator. Will it produce resonance? Similarly, if the driving frequency is twice the frequency of the oscillator, will it produce resonance?
5. Pendulum clocks are made to run at the correct rate by adjusting the pendulum’s length. Suppose you move from one city to another where the acceleration due to gravity is slightly greater, taking your pendulum clock with you. Will you have to lengthen or shorten the pendulum to keep the correct time, other factors are remaining constant? Explain your answer.
6. Two mass-spring systems vibrate with simple harmonic motion. If the spring constants are equal and the mass of one system is twice that of the other, which system has a greater period?
7. Give some applications in which resonance plays an important role.
8. A simple pendulum is set into vibrations and left untouched, eventually stops, why?
9. Under what condition(s) the motion of a simple pendulum be simple harmonic motion?
10. At what positions is the velocity of a particle executing simple harmonic motiona) maximum b) minimum?
11. Show that the motion of projection of a body revolving in a circle describes S.H.M
12. Sketch the displacement-time graphs to illustrate light, critical and heavy damping.
13. Justify the importance of critical damping in a car suspension system.
14. Differentiate free and forced oscillations.
15. How the period of a simple pendulum changes if mass of its bob is doubled? What change arises in time period of mass attached to a spring if same is done here?