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A conical pendulum is moving in a circle with angular velocity $ω$ as shown. If tension in the string is T, which of following equation are correct?

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$T = {mω}^{2} ℓ$

$Tsinθ = {mω}^{2} ℓ$

$T = mgcosθ$

$T = {mω}^{2} ℓsinθ$

answer is A.

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Detailed Solution

$r = ℓ sin θ$

$Tsinθ = {mω}^{2} ℓsinθ$

$\Rightarrow T = {mω}^{2} ℓ$

and, $Tcosθ = mg$

$\Rightarrow T = mg secθ$

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