3-2.Motion in Plane
hard

એક શંકુમાં કણ $0.5\,m/sec$ ની ઝડપથી વર્તુળમય ગતિ કરે છે.તો શંકુના શિરોબિંદુથી કણની ઊંચાઇ ........ $cm$ હશે.

A$0.25 $
B$2 $
C$4 $
D$2.5 $

Solution

(d) The particle is moving in circular path
From the figure, $mg = R\sin \theta $ …$(i)$
$\;\frac{{m{v^2}}}{r} = R\cos \theta $ …$(ii)$
From equation $(i)$ and $(ii)$ we get
$\tan \theta = \frac{{rg}}{{{v^2}}}$  but $\tan \theta = \frac{r}{h}$
$h = \frac{{{v^2}}}{g} = \frac{{{{(0.5)}^2}}}{{10}} = 0.025m = 2.5\,cm$
Standard 11
Physics

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