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3-2.Motion in Plane
medium
A conical pendulum is moving in a circle with angular velocity $\omega $ as shown. If tension in the string is $T$ , which of following equation are correct?
A$T = m{\omega ^2}l$
B$T\,\sin \,\theta = m{\omega ^2}l$
C$T = mg\,\cos \theta $
D$T\, = m{\omega ^2}\,l\,\sin \,\theta $
Solution

$ \mathrm{T} \sin \theta=\mathrm{m} \omega^{2} \ell \sin \theta$
$\Rightarrow \mathrm{T}=\mathrm{m} \omega^{2} \ell $
$\mathrm{T} \cos \theta=\mathrm{mg}$
Standard 11
Physics