Question
The strength of a string is twice the weight of a body attached to one end of string. From what angle the mass must be released so that string just breaks when at the lowest point?
Solution
When string subtends an angle θ with vertical, the mass will be at height h = r(l – cosθ) from the lowest point.
Therefore velocity of mass m at the lowest point when released is,
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Tension in the string at the lowest point is,
String will just break when tension at the lowest point is equal to 2mg,
Therefore velocity of mass m at the lowest point when released is,
Tension in the string at the lowest point is,
String will just break when tension at the lowest point is equal to 2mg,
