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}

Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: NEET 2024 A bob is whirled in a horizontal plane by means of a string with an initial speed of ω… NEET 2024 A particle is executing uniform circular motion with velocity v and acceleration a .… NEET 2023 A ball is projected from point A with velocity 20 ~m ~s^ -1 at an angle 60^ ∘ to the… NEET 2023 A bullet is fired from a gun at the speed of 280m s ^ - 1 in the direction 30 ° above the… NEET 2023 A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m^2 about an… NEET 2023 A ball is projected with a velocity, 10 ms ^ - 1 , at an angle of 60 ° with the vertical… NEET 2022 A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ ∘ above… NEET 2022 Full Motion in Two Dimensions list All NEET PYQs