One end of a string of length 𝑙 is connected to a particle of mass 𝑚 and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed 𝑣, the net force on the particle (directed towards the center) is

Question : One end of a string of length 𝑙 is connected to a particle of mass 𝑚 and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed 𝑣, the net force on the particle (directed towards the center) is

(A) T

(B) T-\dfrac{mv^{2}}{l}

(C) T+\dfrac{mv^{2}}{l}

(D) zero

Answer : option (A)

Solution :

One end of a string of length 𝑙 is connected to a particle of mass 𝑚 and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed 𝑣, the net force on the particle (directed towards the center) is
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