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A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R, as shown
Choose the correct alternative(s) if H = 2R
  • a)
    The particle reaches the top of the loop with zero velocity
  • b)
    The particle cannot reach the top of the loop
  • c)
    The particle breaks off at a height H = R from the base of the loop
  • d)
    The particle break off at a height R < H < 2R
Correct answer is option 'B,D'. Can you explain this answer?
Verified Answer
A particle of mass m is released from a height H on a smooth curved su...
Velocity on reaching the base of circle is
u=√2gH=√2g2R=√4gR
This is less than √5gR. Hence, the particle cannot complete the circle. But this velocity is more than √2gR so the particle will break off the loop at a height above the centre before reaching the top.
 
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A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R, as shownChoose the correct alternative(s) if H = 2Ra)The particle reaches the top of the loop with zero velocityb)The particle cannot reach the top of the loopc)The particle breaks off at a height H = R from the base of the loopd)The particle break off at a height R < H < 2RCorrect answer is option 'B,D'. Can you explain this answer?
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A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R, as shownChoose the correct alternative(s) if H = 2Ra)The particle reaches the top of the loop with zero velocityb)The particle cannot reach the top of the loopc)The particle breaks off at a height H = R from the base of the loopd)The particle break off at a height R < H < 2RCorrect answer is option 'B,D'. Can you explain this answer? for Airforce X Y / Indian Navy SSR 2025 is part of Airforce X Y / Indian Navy SSR preparation. The Question and answers have been prepared according to the Airforce X Y / Indian Navy SSR exam syllabus. Information about A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R, as shownChoose the correct alternative(s) if H = 2Ra)The particle reaches the top of the loop with zero velocityb)The particle cannot reach the top of the loopc)The particle breaks off at a height H = R from the base of the loopd)The particle break off at a height R < H < 2RCorrect answer is option 'B,D'. Can you explain this answer? covers all topics & solutions for Airforce X Y / Indian Navy SSR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m is released from a height H on a smooth curved surface which ends into a vertical loop of radius R, as shownChoose the correct alternative(s) if H = 2Ra)The particle reaches the top of the loop with zero velocityb)The particle cannot reach the top of the loopc)The particle breaks off at a height H = R from the base of the loopd)The particle break off at a height R < H < 2RCorrect answer is option 'B,D'. Can you explain this answer?.
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