Important Questions on Oscillations - Maharashtra State Board
1. Define Simple Harmonic Motion (SHM). Derive the expression for the time period of a simple pendulum.
2. Explain the concept of amplitude, frequency, and phase in oscillatory motion. How are these quantities related to each other?
3. Derive the equation for the velocity and acceleration of a particle in Simple Harmonic Motion.
4. A mass of 0.2 kg is attached to a spring and oscillates with a period of 1.5 seconds. Calculate the spring constant of the spring.
5. Discuss the concept of energy in Simple Harmonic Motion. Derive the expression for the total mechanical energy of a particle in SHM.
6. A mass-spring system oscillates with a period of 2 seconds. Calculate the spring constant if the mass attached to the spring is 0.5 kg.
7. Explain the concept of simple harmonic motion with the help of a mathematical equation. How does it apply to a block attached to a spring?
8. Discuss the types of oscillations observed in a real-world pendulum. Derive the expression for the period of a pendulum undergoing small amplitude oscillations.
9. A body executing simple harmonic motion has a maximum velocity of 8 m/s and an amplitude of 5 m. Calculate the frequency of the motion.
10. Calculate the time period of a simple harmonic oscillator if its frequency is 4 Hz.
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