chapter#1
Simple Harmonic Motion
1. What is the formula for the period of a pendulum undergoing simple harmonic motion?
Answer: The formula for the period (T) of a pendulum is T = 2π√(l/g), where l is the length of the pendulum and g is the acceleration due to gravity.
2. How does amplitude affect the period of simple harmonic motion?
Answer: The period of simple harmonic motion is independent of amplitude.
3. What is the relationship between frequency and period in simple harmonic motion?
Answer: Frequency (f) and period (T) are inversely proportional in simple harmonic motion, given by the equation f = 1/T.
4. Explain the concept of equilibrium position in simple harmonic motion?
Answer: The equilibrium position is the point where the object experiences zero net force and is at rest.
5. What is the significance of the restoring force in simple harmonic motion?
Answer: The restoring force acts to bring the object back towards the equilibrium position when it is displaced.
6. How does damping affect simple harmonic motion?
Answer: Damping decreases the amplitude of oscillation over time by dissipating energy from the system.
7. What is the role of friction in simple harmonic motion?
Answer: Friction opposes the motion of the object, reducing its velocity and causing it to eventually come to a stop.
8. Can simple harmonic motion occur in three dimensions?
Answer: Yes, simple harmonic motion can occur in three dimensions, such as in the case of a mass attached to a spring moving in three-dimensional space.
9. What factors affect the period of a mass-spring system?
Answer: The mass of the object and the spring constant affect the period of a mass-spring system.
10. How does energy conservation apply to simple harmonic motion?
Answer: In the absence of damping or external forces, the total mechanical energy (kinetic energy + potential energy) of a system undergoing simple harmonic motion remains constant.
11. What is the relationship between displacement and acceleration in simple harmonic motion?
Answer: The acceleration of an object undergoing simple harmonic motion is directly proportional to its displacement and is directed towards the equilibrium position.
12. How can the amplitude of simple harmonic motion be determined from a graph?
Answer: The amplitude is the maximum displacement of the object from the equilibrium position and can be determined from the peak or trough of the displacement vs. time graph.
13. What is the role of resonance in simple harmonic motion?
Answer: Resonance occurs when the frequency of an external force matches the natural frequency of a system, leading to a significant increase in amplitude.
14. How does the mass affect the period of a pendulum in simple harmonic motion?
Answer: The period of a pendulum is independent of the mass and depends only on the length of the pendulum and the acceleration due to gravity.
15. Explain the concept of phase in simple harmonic motion.
Answer: Phase represents the position of the object in its oscillation cycle relative to a reference point, often measured in radians.
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