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Question: A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/...

A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/sec. The tension in the string is 6 N, when the stone is at (g = 10 m/sec2)

A

Top of the circle

B

Bottom of the circle

C

Half way down

D

None of the above

Answer

Top of the circle

Explanation

Solution

mg=1×10=10N,mg = 1 \times 10 = 10N, mv2r=1×(4)21=16\frac{mv^{2}}{r} = \frac{1 \times (4)^{2}}{1} = 16

Tension at the top of circle = mv2rmg=6N\frac{mv^{2}}{r} - mg = 6N

Tension at the bottom of circle = mv2r+mg=26N\frac{mv^{2}}{r} + mg = 26N