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Which of the following statements is true with respect to Simple Harmonic Motion (S.H.M.)?
- a)When velocity is 0, acceleration is 0
- b)When velocity is maximum, acceleration is maximum
- c)Value of acceleration is 0 irrespective of the value of velocity
- d)When velocity is maximum, acceleration is 0
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following statements is true with respect to Simple Harmo...
- In the case of Simple Harmonic Motion (S.H.M), acceleration is ahead of velocity in phase by π2π2rad which is why when acceleration is 0, velocity is maximum and vice versa.
- S.H.M or simple harmonic motion is a special type of oscillation or periodic motion where the restoring force acts in the direction opposite to the displacement and is directly proportional to it.
Most Upvoted Answer
Which of the following statements is true with respect to Simple Harmo...
Explanation:
Simple Harmonic Motion (S.H.M.) is a type of periodic motion in which an object oscillates back and forth about an equilibrium position. It can be described by various parameters, including velocity and acceleration. Let's analyze each statement to determine which one is true.
a) When velocity is 0, acceleration is 0:
This statement is not true. In S.H.M., the velocity of the object is maximum when it passes through the equilibrium position, and it is zero at the extremes of its motion. However, the acceleration is not zero at these points. In fact, the acceleration is maximum at the extremes of the motion.
b) When velocity is maximum, acceleration is maximum:
This statement is also not true. In S.H.M., the acceleration is maximum when the object passes through the equilibrium position. At this point, the velocity is zero, not maximum. The acceleration is zero when the object reaches the extremes of its motion.
c) Value of acceleration is 0 irrespective of the value of velocity:
This statement is incorrect. The value of acceleration is not always zero in S.H.M. It is zero only when the object reaches the extremes of its motion. The acceleration is maximum when the object passes through the equilibrium position.
d) When velocity is maximum, acceleration is 0:
This statement is true. When the object reaches its maximum velocity, it is at the extremes of its motion. At these points, the acceleration is zero. As the object starts to change direction and move towards the equilibrium position, the velocity decreases, and the acceleration increases. Therefore, when the velocity is maximum, the acceleration is indeed zero.
In summary:
The correct statement with respect to Simple Harmonic Motion is that when the velocity is maximum, the acceleration is zero. This occurs when the object reaches the extremes of its motion.
Simple Harmonic Motion (S.H.M.) is a type of periodic motion in which an object oscillates back and forth about an equilibrium position. It can be described by various parameters, including velocity and acceleration. Let's analyze each statement to determine which one is true.
a) When velocity is 0, acceleration is 0:
This statement is not true. In S.H.M., the velocity of the object is maximum when it passes through the equilibrium position, and it is zero at the extremes of its motion. However, the acceleration is not zero at these points. In fact, the acceleration is maximum at the extremes of the motion.
b) When velocity is maximum, acceleration is maximum:
This statement is also not true. In S.H.M., the acceleration is maximum when the object passes through the equilibrium position. At this point, the velocity is zero, not maximum. The acceleration is zero when the object reaches the extremes of its motion.
c) Value of acceleration is 0 irrespective of the value of velocity:
This statement is incorrect. The value of acceleration is not always zero in S.H.M. It is zero only when the object reaches the extremes of its motion. The acceleration is maximum when the object passes through the equilibrium position.
d) When velocity is maximum, acceleration is 0:
This statement is true. When the object reaches its maximum velocity, it is at the extremes of its motion. At these points, the acceleration is zero. As the object starts to change direction and move towards the equilibrium position, the velocity decreases, and the acceleration increases. Therefore, when the velocity is maximum, the acceleration is indeed zero.
In summary:
The correct statement with respect to Simple Harmonic Motion is that when the velocity is maximum, the acceleration is zero. This occurs when the object reaches the extremes of its motion.
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Which of the following statements is true with respect to Simple Harmonic Motion (S.H.M.)?a)When velocity is 0, acceleration is 0b)When velocity is maximum, acceleration is maximumc)Value of acceleration is 0 irrespective of the value of velocityd)When velocity is maximum, acceleration is 0Correct answer is option 'D'. Can you explain this answer?
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Which of the following statements is true with respect to Simple Harmonic Motion (S.H.M.)?a)When velocity is 0, acceleration is 0b)When velocity is maximum, acceleration is maximumc)Value of acceleration is 0 irrespective of the value of velocityd)When velocity is maximum, acceleration is 0Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Which of the following statements is true with respect to Simple Harmonic Motion (S.H.M.)?a)When velocity is 0, acceleration is 0b)When velocity is maximum, acceleration is maximumc)Value of acceleration is 0 irrespective of the value of velocityd)When velocity is maximum, acceleration is 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is true with respect to Simple Harmonic Motion (S.H.M.)?a)When velocity is 0, acceleration is 0b)When velocity is maximum, acceleration is maximumc)Value of acceleration is 0 irrespective of the value of velocityd)When velocity is maximum, acceleration is 0Correct answer is option 'D'. Can you explain this answer?.
Which of the following statements is true with respect to Simple Harmonic Motion (S.H.M.)?a)When velocity is 0, acceleration is 0b)When velocity is maximum, acceleration is maximumc)Value of acceleration is 0 irrespective of the value of velocityd)When velocity is maximum, acceleration is 0Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Which of the following statements is true with respect to Simple Harmonic Motion (S.H.M.)?a)When velocity is 0, acceleration is 0b)When velocity is maximum, acceleration is maximumc)Value of acceleration is 0 irrespective of the value of velocityd)When velocity is maximum, acceleration is 0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is true with respect to Simple Harmonic Motion (S.H.M.)?a)When velocity is 0, acceleration is 0b)When velocity is maximum, acceleration is maximumc)Value of acceleration is 0 irrespective of the value of velocityd)When velocity is maximum, acceleration is 0Correct answer is option 'D'. Can you explain this answer?.
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