A fighter plane is moving in a vertical circle of radius r. Its minimum velocity at the highest point A of the circle will be

Question

A fighter plane is moving in a vertical circle of radius r. Its minimum velocity at the highest point A of the circle will be (A) √3 g r (B)  √2 g r  (C)  √g r  (D)  √g r/2

Tardigrade Admin · Accepted Answer

When a body tied to the end of a string is revolved in a vertical circle, the speed of the body is different at different points of the circular paths.

The resultant of tension

(T)

and weight

(m g)

provider the necessary centripetal force
i.e.,

T + m g = \frac{m v _{A}^{2}}{r}

Tension

(T)

becomes zero at the points of minimum velocity, therefore

∴ 0 + m g = \frac{m v _{A}^{2}}{r}

\Rightarrow v_{A} = g r

Q. A fighter plane is moving in a vertical circle of radius $r$ . Its minimum velocity at the highest point $A$ of the circle will be

$3 g r$

$2 g r$

$g r$

$g r /2$

Q. A fighter plane is moving in a vertical circle of radius r. Its minimum velocity at the highest point A of the circle will be

3gr​

2gr​

gr​

gr/2​

Q. A fighter plane is moving in a vertical circle of radius $r$ . Its minimum velocity at the highest point $A$ of the circle will be

$3 g r$

$2 g r$

$g r$

$g r /2$