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For an object moving in a vertical circular path, the tension in the string reaches its highest value when cos θ equals +1 and the speed is at its peak. These conditions occur at θ = 0° (the lowest point of the circle).

1. T = mg cos θ + mv²/l
2. T = mv²/l + mg cos θ
3. T = mg cos θ - mv²/l
4. T = mv²/l - mg cos θ

Correct answer: T = mg cos θ + mv²/l

Solution

The tension in a vertical circular motion is maximum at the lowest point (θ = 0°) because both gravitational force and centripetal force act in the same direction. The formula for tension at any point is T = mg cos θ + mv²/l, which matches option A.

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