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A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 ms−1. What is the trajectory of the bob if the string is cut when the bob is at one of its extreme positions
- a)bob will go upwards
- b)bob will fall vertically downwards
- c)bob will go downwards at an angle
- d)bob will go down in a parabolic path
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m l...
Explanation:At the extreme position of the oscillation, the speed of the bob is zero. So the bob is momentarily at rest. if the string is cut, the bob will fall vertically downwards.
Most Upvoted Answer
A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m l...
Understanding the Situation
When the bob is oscillating, it moves in a circular arc due to the tension in the string and the force of gravity. At the extreme position, the bob has momentarily stopped before reversing direction.
Key Points about the Extreme Position
- The bob is at rest at this point.
- The forces acting on the bob include gravitational force downward and tension in the string upwards.
What Happens When the String is Cut?
- Once the string is cut, the only force acting on the bob is gravity.
- Gravity pulls the bob straight downwards without any horizontal component because there is no longer any tension from the string.
Reasoning Behind the Trajectory
- With the speed of 1 m/s at the mean position, the bob has kinetic energy, but at the extreme position, it has zero speed.
- Since the bob is not moving horizontally when the string is cut, it will not have any horizontal velocity component.
- Therefore, it will fall vertically downward.
Conclusion
Given that the bob is at one of its extreme positions when the string is cut, it will solely be influenced by gravity, leading to a vertical drop. Thus, the correct answer is:
Bob will fall vertically downwards (Option B).
When the bob is oscillating, it moves in a circular arc due to the tension in the string and the force of gravity. At the extreme position, the bob has momentarily stopped before reversing direction.
Key Points about the Extreme Position
- The bob is at rest at this point.
- The forces acting on the bob include gravitational force downward and tension in the string upwards.
What Happens When the String is Cut?
- Once the string is cut, the only force acting on the bob is gravity.
- Gravity pulls the bob straight downwards without any horizontal component because there is no longer any tension from the string.
Reasoning Behind the Trajectory
- With the speed of 1 m/s at the mean position, the bob has kinetic energy, but at the extreme position, it has zero speed.
- Since the bob is not moving horizontally when the string is cut, it will not have any horizontal velocity component.
- Therefore, it will fall vertically downward.
Conclusion
Given that the bob is at one of its extreme positions when the string is cut, it will solely be influenced by gravity, leading to a vertical drop. Thus, the correct answer is:
Bob will fall vertically downwards (Option B).
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A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 ms−1. What is the trajectory of the bob if the string is cut when the bob is at one of its extreme positionsa)bob will go upwardsb)bob will fall vertically downwardsc)bob will go downwards at an angled)bob will go down in a parabolic pathCorrect answer is option 'B'. Can you explain this answer? for Class 11 2026 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 ms−1. What is the trajectory of the bob if the string is cut when the bob is at one of its extreme positionsa)bob will go upwardsb)bob will fall vertically downwardsc)bob will go downwards at an angled)bob will go down in a parabolic pathCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 ms−1. What is the trajectory of the bob if the string is cut when the bob is at one of its extreme positionsa)bob will go upwardsb)bob will fall vertically downwardsc)bob will go downwards at an angled)bob will go down in a parabolic pathCorrect answer is option 'B'. Can you explain this answer?.
A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 ms−1. What is the trajectory of the bob if the string is cut when the bob is at one of its extreme positionsa)bob will go upwardsb)bob will fall vertically downwardsc)bob will go downwards at an angled)bob will go down in a parabolic pathCorrect answer is option 'B'. Can you explain this answer? for Class 11 2026 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 ms−1. What is the trajectory of the bob if the string is cut when the bob is at one of its extreme positionsa)bob will go upwardsb)bob will fall vertically downwardsc)bob will go downwards at an angled)bob will go down in a parabolic pathCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 ms−1. What is the trajectory of the bob if the string is cut when the bob is at one of its extreme positionsa)bob will go upwardsb)bob will fall vertically downwardsc)bob will go downwards at an angled)bob will go down in a parabolic pathCorrect answer is option 'B'. Can you explain this answer?.
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