A ball on the end of a string is revolved at a uniform rate in a vertical circle

Question

A ball on the end of a string is revolved at a uniform rate in a vertical circle of radius 60.0 cm, as shown in Fig. 5-33. Its speed is 4.25 m/s and its mass is 0.300 kg.

(a) Calculate the tension in the string when the ball is at the top of its path. N (b) Calculate the tension in the string when the ball is at the bottom of its path. N A ball on the end of a string is revolved at a uniform rate in a vertical circle of radius 60.0 cm, as shown in Fig. 5 - 33. Its speed is 4.25 m/s and its mass is 0.300 kg.

Explanation / Answer

a .

top :

-T - mg = -mv^2 /r ;

T = m ( v^2 / r - g )

T = 0.3 ( 4.25^2 / 0.6 - 9.8 )

T = 6.091 N <-----ans

b .

at botom :

T - mg = mv^2 / r ;

T = m ( g + v^2 / r )

T = 0.3 ( 9.8 + 4.25^2 / 0.6 )

T = 11.971 N <-----ans

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