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  4. A pendulum is suspended from the ceiling of the cart as shown in the figure. Find the horizontal acceleration of the cart for which pendulum will become equally inclined from the horizontal and vertical :-

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Q. A pendulum is suspended from the ceiling of the cart as shown in the figure. Find the horizontal acceleration of the cart for which pendulum will become equally inclined from the horizontal and vertical :-Physics Question Image

Laws of Motion

Solution:

image
$T \sin 45= ma$ ..... (i)
$T \cos 45= mg$ ..... (ii)
$\tan 45^{\circ}=\frac{ a }{ g } \Rightarrow a = g$