A ball of mass m is tied up with string and rotated along a horizontal circle of radius r. At an instant, its velocity is v, and tension in string is T, the force required for circular motion is

Question

A ball of mass m is tied up with string and rotated along a horizontal circle of radius r. At an instant, its velocity is v, and tension in string is T, the force required for circular motion is (A) T-(mv2/r) (B) T+(mv2/r) (C) (mv2/r) (D) zero

Tardigrade Admin · Accepted Answer

From figure, ∴ T sin θ = (mv2/r)

Q. A ball of mass $m$ is tied up with string and rotated along a horizontal circle of radius $r$ . At an instant, its velocity is $v$ , and tension in string is $T$ , the force required for circular motion is

$T - \frac{m v ^{2}}{r}$

$T + \frac{m v ^{2}}{r}$

$\frac{m v ^{2}}{r}$

zero

From figure,
$∴ T sin θ = \frac{m v ^{2}}{r}$

Q. A ball of mass m is tied up with string and rotated along a horizontal circle of radius r. At an instant, its velocity is v, and tension in string is T, the force required for circular motion is

T−rmv2​

T+rmv2​

rmv2​