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For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
For a body to be able to loop a vertical circle of radius R, the minim...
For a body able to loop a vertical circle, the tension in the string must not be lesser than zero at the highest point. Hence when the tension at the highest point is zero we will obtain the minimum velocity. I.e.
At the highest point as T = 0, hence we get
Mg = Mv2/R
(comparing the centripetal acceleration with weight, where R is radius of vertical circle)
Hence we get the minimum velocity at the topmost point to be
Thus if we apply the work energy theorem upon the particle from its lowermost point to its top most point, we get net displacement as 2R and thus minimum velocity at lowermost point to be
At the highest point as T = 0, hence we get
Mg = Mv2/R
(comparing the centripetal acceleration with weight, where R is radius of vertical circle)
Hence we get the minimum velocity at the topmost point to be
Thus if we apply the work energy theorem upon the particle from its lowermost point to its top most point, we get net displacement as 2R and thus minimum velocity at lowermost point to be
Most Upvoted Answer
For a body to be able to loop a vertical circle of radius R, the minim...
For a body to be able to loop a vertical circle of radius R. the minimum velocity required at its lowest point is √5gR
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For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a body to be able to loop a vertical circle of radius R, the minimum velocity required at its lowest point is:a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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