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Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion ?
- a)When v is maximum, a is zero [2004]
- b)When v is maximum, a is maximum
- c)Value of a is zero, whatever may be the value of v
- d)When v is zero, a is zero
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which one of the following statements is true for the speed v and the ...
Phase differences between acceleration and velocity is always 90 so if one equation is express in terms of sin and other express in cos terms so if one maximum then other is minimum
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Which one of the following statements is true for the speed v and the ...
Statement: When v is maximum, a is zero.
Explanation:
Simple Harmonic Motion (SHM):
Simple Harmonic Motion is a type of periodic motion where the restoring force is directly proportional to the displacement and acts in the opposite direction of the displacement.
Velocity and Acceleration in SHM:
In Simple Harmonic Motion, the velocity and acceleration of a particle vary with time. Let's understand the relationship between velocity and acceleration in SHM.
Maximum Velocity:
The maximum velocity in SHM occurs when the displacement is maximum. At this point, the particle is at the extreme position and momentarily comes to rest before changing direction. This is the point of maximum displacement, and the particle's velocity is maximum.
Maximum Acceleration:
The maximum acceleration in SHM occurs when the particle is at its equilibrium position. At this point, the particle experiences the maximum restoring force and maximum acceleration. As the particle moves away from the equilibrium position, the restoring force decreases, leading to a decrease in acceleration.
Understanding the Statement:
The statement says that when the velocity (v) is maximum, the acceleration (a) is zero. Let's analyze this statement.
When v is maximum:
When the velocity is maximum, the particle is at the extreme position of its motion, i.e., at the maximum displacement from the equilibrium position. At this point, the particle momentarily comes to rest before changing direction. Therefore, the velocity is maximum.
a is zero:
At the extreme position, the particle experiences the maximum restoring force, which is always directed towards the equilibrium position. Since the velocity is momentarily zero at this point, the acceleration is also zero.
Therefore, the statement is true. When the velocity is maximum, the acceleration is zero in simple harmonic motion.
Explanation:
Simple Harmonic Motion (SHM):
Simple Harmonic Motion is a type of periodic motion where the restoring force is directly proportional to the displacement and acts in the opposite direction of the displacement.
Velocity and Acceleration in SHM:
In Simple Harmonic Motion, the velocity and acceleration of a particle vary with time. Let's understand the relationship between velocity and acceleration in SHM.
Maximum Velocity:
The maximum velocity in SHM occurs when the displacement is maximum. At this point, the particle is at the extreme position and momentarily comes to rest before changing direction. This is the point of maximum displacement, and the particle's velocity is maximum.
Maximum Acceleration:
The maximum acceleration in SHM occurs when the particle is at its equilibrium position. At this point, the particle experiences the maximum restoring force and maximum acceleration. As the particle moves away from the equilibrium position, the restoring force decreases, leading to a decrease in acceleration.
Understanding the Statement:
The statement says that when the velocity (v) is maximum, the acceleration (a) is zero. Let's analyze this statement.
When v is maximum:
When the velocity is maximum, the particle is at the extreme position of its motion, i.e., at the maximum displacement from the equilibrium position. At this point, the particle momentarily comes to rest before changing direction. Therefore, the velocity is maximum.
a is zero:
At the extreme position, the particle experiences the maximum restoring force, which is always directed towards the equilibrium position. Since the velocity is momentarily zero at this point, the acceleration is also zero.
Therefore, the statement is true. When the velocity is maximum, the acceleration is zero in simple harmonic motion.
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Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion ?a)When v is maximum, a is zero [2004]b)When v is maximum, a is maximumc)Value of a is zero, whatever may be the value of vd)When v is zero, a is zeroCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion ?a)When v is maximum, a is zero [2004]b)When v is maximum, a is maximumc)Value of a is zero, whatever may be the value of vd)When v is zero, a is zeroCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion ?a)When v is maximum, a is zero [2004]b)When v is maximum, a is maximumc)Value of a is zero, whatever may be the value of vd)When v is zero, a is zeroCorrect answer is option 'A'. Can you explain this answer?.
Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion ?a)When v is maximum, a is zero [2004]b)When v is maximum, a is maximumc)Value of a is zero, whatever may be the value of vd)When v is zero, a is zeroCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion ?a)When v is maximum, a is zero [2004]b)When v is maximum, a is maximumc)Value of a is zero, whatever may be the value of vd)When v is zero, a is zeroCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion ?a)When v is maximum, a is zero [2004]b)When v is maximum, a is maximumc)Value of a is zero, whatever may be the value of vd)When v is zero, a is zeroCorrect answer is option 'A'. Can you explain this answer?.
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