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 :-

Question

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 :- (A) g / 2 (B) g / 4 (C) g (D) g / √3

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/e0a2be5939c96d16986e835f78f8d4b3-.png" /> T sin 45= ma ..... (i) T cos 45= mg ..... (ii) tan 45°=( a / g ) ⇒ a = g

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 :-

$g /2$

$g /4$

$g$

$g / 3$

$T sin 45 = ma$ ..... (i)
$T cos 45 = m g$ ..... (ii)
$tan 4 5^{\circ} = \frac{a}{g} \Rightarrow a = g$

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 :-

g/2

g/4

g

g/3​

Tsin45=ma ..... (i) Tcos45=mg ..... (ii) tan45∘=ga​⇒a=g

$g /2$

$g /4$

$g$

$g / 3$

$T sin 45 = ma$ ..... (i)
$T cos 45 = m g$ ..... (ii)
$tan 4 5^{\circ} = \frac{a}{g} \Rightarrow a = g$