A particle of mass 𝑚 attracted with a string of length 𝑙 is just revolving on the vertical circle without
slacking of the string. If 𝑣𝐴, 𝑣𝐵 and 𝑣𝐷 are speed at position 𝐴, 𝐵 and 𝐷 then

Question : A particle of mass 𝑚 attracted with a string of length 𝑙 is just revolving on the vertical circle without slacking of the string. If 𝑣𝐴, 𝑣𝐵 and 𝑣𝐷 are speed at position 𝐴, 𝐵 and 𝐷 then

(A) v_{B} >v_{D} >v_{A}

(B) Tension in string at 𝐷 = 3 mg

(C) v_{D}=\sqrt{3g_{l}}

(D) All of the above

Answer : option (B)

Solution :

A particle of mass 𝑚 attracted with a string of length 𝑙 is just revolving on the vertical circle without
slacking of the string. If 𝑣𝐴, 𝑣𝐵 and 𝑣𝐷 are speed at position 𝐴, 𝐵 and 𝐷 then
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