A 1 kg stone at the end of 1 m long stri

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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

A

Top of the circle

B

Bottom of the circle

C

Half way down

D

None of the above

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

$mg = 1 \times 10 = 10N,$ $\frac{{m{v^2}}}{r} = \frac{{1 \times {{(4)}^2}}}{1} = 16$

Tension at the top of circle = $\frac{{m{v^2}}}{r} - mg = 6N$

Tension at the bottom of circle = $\frac{{m{v^2}}}{r} + mg = 26N$