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3-2.Motion in Plane
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ચાકગતિ કરતા કણ માટે $a_r = 3\ ms^{-2}, a_T = 4\ ms^{-2}$ છે. જો $a $ અને $a_r$ વચ્ચેનો ખૂણો $\theta$ હોય, તો .......

A$\cos \theta \,\, = \,\,\frac{4}{5}$
B$\sin \theta \,\, = \,\,\frac{3}{5}$
C$\tan \theta \,\, = \,\,\frac{3}{4}$
D$\sec \theta \,\, = \,\,\,\frac{5}{3}$

Solution

$a\,\, = \,\,\sqrt {a_T^2\,\, + \,\,a_r^2} \,\,\,\,\,\,$
$= \,\,\,\sqrt {{{(4)}^2} + {{(3)}^2}} \,\,\, = \,\,5\,\,m{s^{ – 2}}\,$
આકૃતિ પરથી ,$cos\, \theta \,\, = \,\,\frac{3}{5}\,\,\,\,\,$
$\therefore \,\,\sec \theta \,\, = \,\,\,\frac{1}{{\cos \theta }}\,\, $
$= \,\,\frac{5}{3}$
Standard 11
Physics

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