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One end of a string of length l is connected to a particle of mass 'm' and thre other end is connected to a small peg on a smooth horizontal table. If the Particle moves in circle with speed v, the net force on the particle (directed towards centre) will be (T represents the tension in the string) (i) T+ mv^2/l (ii) T- mv^2/l (iii) Zero (iv) T?
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One end of a string of length l is connected to a particle of mass 'm'...
Net Force on a Particle Moving in a Circle Connected to a String


Background Information:



  • Particle of mass 'm' is connected to one end of a string of length 'l'

  • The other end of the string is connected to a small peg on a smooth horizontal table

  • The particle moves in a circle with speed 'v'

  • Tension in the string is represented by 'T'



Determining the Net Force:



  • The force acting on the particle is centripetal force which is directed towards the center of the circle

  • The formula for centripetal force is Fc = mv^2/r where 'm' is the mass of the particle, 'v' is the speed of the particle, and 'r' is the radius of the circle

  • In this case, the radius of the circle is equal to the length of the string, so r = l

  • Therefore, Fc = mv^2/l

  • The tension in the string is also acting on the particle towards the center of the circle

  • Therefore, the net force on the particle is T - mv^2/l



Conclusion:



  • The correct answer is (ii) T - mv^2/l

  • This is because the tension in the string is acting in the opposite direction to the centripetal force, so it must be subtracted from the force equation

  • If the tension in the string is equal to the centripetal force, then the net force on the particle will be zero (iii)

Community Answer
One end of a string of length l is connected to a particle of mass 'm'...
When a particle connected to a string revolves in a circular path around a center, the centripetal force is provided by the tension produced in the string. Hence, in the given case, the net force on the particle is the tension T, i.e., 



F=T=mv^2/l
Where F is the net force acting on the particle.
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One end of a string of length l is connected to a particle of mass 'm' and thre other end is connected to a small peg on a smooth horizontal table. If the Particle moves in circle with speed v, the net force on the particle (directed towards centre) will be (T represents the tension in the string) (i) T+ mv^2/l (ii) T- mv^2/l (iii) Zero (iv) T?
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One end of a string of length l is connected to a particle of mass 'm' and thre other end is connected to a small peg on a smooth horizontal table. If the Particle moves in circle with speed v, the net force on the particle (directed towards centre) will be (T represents the tension in the string) (i) T+ mv^2/l (ii) T- mv^2/l (iii) Zero (iv) T? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about One end of a string of length l is connected to a particle of mass 'm' and thre other end is connected to a small peg on a smooth horizontal table. If the Particle moves in circle with speed v, the net force on the particle (directed towards centre) will be (T represents the tension in the string) (i) T+ mv^2/l (ii) T- mv^2/l (iii) Zero (iv) T? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One end of a string of length l is connected to a particle of mass 'm' and thre other end is connected to a small peg on a smooth horizontal table. If the Particle moves in circle with speed v, the net force on the particle (directed towards centre) will be (T represents the tension in the string) (i) T+ mv^2/l (ii) T- mv^2/l (iii) Zero (iv) T?.
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