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L2 SHM-acceleration,force,time period and phase, Class11,Physics Video Lecture - Class 11

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FAQs on L2 SHM-acceleration,force,time period and phase, Class11,Physics Video Lecture - Class 11

1. What is SHM acceleration?
Ans. SHM acceleration refers to the acceleration experienced by an object undergoing Simple Harmonic Motion. In SHM, the acceleration of the object is directly proportional to its displacement from the mean position and is directed towards the mean position. The acceleration is maximum at the extreme positions and zero at the mean position.
2. What is the relationship between force and SHM?
Ans. The force acting on an object undergoing Simple Harmonic Motion is directly proportional to the displacement from the mean position and is directed towards the mean position. This force is known as the restoring force and its magnitude is given by the equation F = -kx, where F is the force, k is the force constant, and x is the displacement. The negative sign indicates that the force is in the opposite direction of the displacement.
3. How is the time period of SHM determined?
Ans. The time period of Simple Harmonic Motion is the time taken for one complete cycle of the motion. It can be determined using the formula T = 2π√(m/k), where T is the time period, m is the mass of the object, and k is the force constant. The time period is independent of the amplitude of the motion.
4. What is the phase of SHM?
Ans. The phase of Simple Harmonic Motion refers to the position of the object in its oscillatory motion at any given time. It is usually represented in terms of the phase angle, which determines the position of the object in the cycle. The phase angle is given by the equation ϕ = ωt + ϕ0, where ϕ is the phase angle, ω is the angular frequency, t is the time, and ϕ0 is the initial phase angle.
5. How does the amplitude affect SHM?
Ans. The amplitude of Simple Harmonic Motion determines the maximum displacement of the object from its mean position. It does not affect the time period of the motion, but it does affect the maximum potential energy and the maximum kinetic energy of the object. Higher amplitudes result in greater energy transfers between potential and kinetic energy during oscillation.
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