A mass is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:
inclined at an angle of 60 from vertical.
the mass is at the highest point.
the wire is horizontal.
the mass is at the lowest point.
In a vertical circular motion, the tension () in the wire varies depending on the position of the mass . According to Newton’s Second Law, the net centripetal force at any point making an angle with the downward vertical is , where is the radius . This gives the tension as . At the lowest point, (so ) and the velocity is at its maximum because gravitational potential energy is converted into kinetic energy as the mass descends . Consequently, the tension reaches its maximum value at this point, making the wire most likely to break .
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