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Question
A stone is tied to a string and whirled such that the stone performs horizontal circular motion. It can be seen that the string is NEVER horizontal.
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Solution
The string is never horizontal because the stone has weight mg acting vertically downward.
For the stone to move in a horizontal circle, the tension T in the string must have:
Vertical component: Balances the weight of the stone,
T cos θ = mg
Horizontal component provides the centripetal force,
T sin θ = `(m v^2)/r`
Therefore, the string must remain inclined to the vertical. If it became horizontal, tension would have no upward component to balance the weight, so horizontal circular motion would not be possible.
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