In the above question, ifu=sqrt(gR) then (a) after rotating an angle theta , velocity of the bob becomes zero. Find the value of theta . (b) If mass of the bob is 'm' then what is the tension in the string when velocity becomes zero?
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The angle and tension in the string when velocity is zero is:
- Given,
- After rotating an angle Θ, velocity of the bob becomes zero.
- Height at which ball is present, h =
- But, height h= R (1 - cos Θ )
- Equating both equations, we get: R (1 - cos Θ ) = R/2
⇒ Θ = 60°
- If mass of bob = m , tension in the string = T = mg cos Θ = mg/2
- Answers are Θ = 60° and T=mg/2
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