Find the tension in the string when the bob is released from rest in the following figure.
also see my set
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ok if u get this wrong , no problem. I was also wrong on the first attempt.
Force will be balanced along the string as there is no acceleration along the string .
So T = 2 3 m g
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The key thing to note is that the system is a pendulum, which has a periodic circular motion. This implies that when the ball is released, there is a force tangential to the arc (ie perpendicular to the radius).
By Newton's second law of motion, F net,rad = 0 . Since the two forces are the weight of the bob m g and the tension in the string T , we then know that
T = m g cos 3 0 ∘ = 2 3 m g
after resolving the vectors.
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The component in the vertical direction :
m g × cos θ
= 2 3 × m g