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3.2 , motion in plane — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
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?
  • ✓
    $T = m{\omega ^2}l$
  • B
    $T\,\sin \,\theta  = m{\omega ^2}l$
  • C
    $T = mg\,\cos \theta $
  • D
    $T\, = m{\omega ^2}\,l\,\sin \,\theta $
✓

Answer

Correct option: A.
$T = m{\omega ^2}l$
a
$r=\ell \sin \theta$

$  \mathrm{T} \sin \theta=\mathrm{m} \omega^{2} \ell \sin \theta$

$\Rightarrow  \mathrm{T}=\mathrm{m} \omega^{2} \ell $

$\mathrm{T} \cos \theta=\mathrm{mg}$

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