A ball of mass m is tied up with string and rotated along a...

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 ball of mass m is tied up with string and rotated along a horizontal circle of radius r . At an instant, its velocity

A ball of mass m is tied up with string and rotated along a horizontal circle of radius r . At an instant, its velocity

Options

A $T-\frac{m v^2}{r}$
B $T+\frac{m v^2}{r}$
C $\frac{m v^2}{r}$
Dzero

Correct answer

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

Step-by-step solution

From figure, A ball of mass m is tied up with string and rotated along a horizontal circle of radius r . At an instant, its velocity

\therefore \quad T \sin \theta=\frac{m v^2}{r}

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