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Question:

A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:

the wire is horizontal

the mass is at the highest point

inclined at an angle of 60° from vertical

the mass is at the lowest point

Solution:

Correct option is D. the mass is at the lowest point
We know that, T - mg = mv²/l ⇒ T = mg + mv²/l
The tension is maximum at the lowest position of mass, so the chance of breaking is maximum.
Hence option D is the correct answer