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If a particle is executing simple harmonic motion then acceleration of particle 1) is uniform 2) varies linearly with time 3) is non uniform 4) both 2 and 3?
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If a particle is executing simple harmonic motion then acceleration of...
Understanding the Acceleration of a Particle in Simple Harmonic Motion
Definition of Simple Harmonic Motion
Simple harmonic motion is a type of periodic motion in which the motion of a particle is back-and-forth along a straight line. The force acting on the particle is directly proportional to the displacement of the particle from its equilibrium position and is always directed towards the equilibrium position.
Acceleration of Particle in Simple Harmonic Motion
The acceleration of a particle in simple harmonic motion is given by the equation a = -ω^2x, where a is the acceleration, x is the displacement of the particle from the equilibrium position and ω is the angular frequency of the motion.
Uniform or Non-Uniform Acceleration?
From the above equation, we can see that the acceleration of the particle is directly proportional to the displacement of the particle and is always directed towards the equilibrium position. Therefore, the acceleration of the particle is non-uniform as it changes direction and magnitude at different points of the motion.
Variation of Acceleration with Time
The acceleration of the particle in simple harmonic motion does not vary linearly with time. The acceleration is zero at the equilibrium position and reaches maximum value at the extreme positions. The acceleration then decreases to zero at the other extreme position and reverses direction. Therefore, the acceleration is not linear with time.
Conclusion
In conclusion, the acceleration of a particle in simple harmonic motion is non-uniform and does not vary linearly with time. It is important to understand the behavior of acceleration in simple harmonic motion as it helps in understanding the motion of particles in various physical systems.
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If a particle is executing simple harmonic motion then acceleration of...
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If a particle is executing simple harmonic motion then acceleration of particle 1) is uniform 2) varies linearly with time 3) is non uniform 4) both 2 and 3?
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If a particle is executing simple harmonic motion then acceleration of particle 1) is uniform 2) varies linearly with time 3) is non uniform 4) both 2 and 3? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If a particle is executing simple harmonic motion then acceleration of particle 1) is uniform 2) varies linearly with time 3) is non uniform 4) both 2 and 3? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a particle is executing simple harmonic motion then acceleration of particle 1) is uniform 2) varies linearly with time 3) is non uniform 4) both 2 and 3?.
If a particle is executing simple harmonic motion then acceleration of particle 1) is uniform 2) varies linearly with time 3) is non uniform 4) both 2 and 3? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If a particle is executing simple harmonic motion then acceleration of particle 1) is uniform 2) varies linearly with time 3) is non uniform 4) both 2 and 3? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a particle is executing simple harmonic motion then acceleration of particle 1) is uniform 2) varies linearly with time 3) is non uniform 4) both 2 and 3?.
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