A small bob tied at one end of a thin string of length 1m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 :1 . The velocity of the bob at the…

Question

A small bob tied at one end of a thin string of length 1m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 :1 . The velocity of the bob at the highest position is m/s. take ( g=10m/s^2)

Accepted Answer

Correct answer: 5. (5) JEE Main 2021 by conservation of energy, v_ min^2=V^2-4g ∣ … (i ) T_ max= mg+ mv^2I … . ( ii ) T_ min= mv_ min^2-- mg … ( iii ) from equation (i ) and ( ii ) T_ min= mI(v^2-4 gl)- mg T_ maxT_ min= v^21+g v^21-5g 51= v^21+10 v^21-50 5v^2-250=v^2+10 v^2=65 … ( iv ) from equation ( iv ) and (i )v^2 min=65-40=25 v_ min=5

$A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 : 1 . The velocity of the bob at the highest position is m / s . take (g = 10 m / s^{2})$

Solution

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