Question

Please draw the free form diagram and forces if necessary and answer ALL parts

A ball of mass Mis attached to one end of a light string of length L. The other end of the string is held fixed and the ball is set in motion in a vertical circle with the string taught. If the ball moves with a constant speed V, find the tension of the string when (a) the string is horizontal (b) the string is vertical with the mass at the highest point of its path. les the string is vertical with the mass at the lowest point of its path. (d) the string makes an angle 0 with the downward vertical.

Answer 1

Mass= M, Length L, Specd -V à) string is horizontal, Mg Balancing horizontal forces, 'mgcas ng mgs'ne T Mv2 verbcal & mass is b) string is at highest point, MV2 L Bolancing vertical forces, T+Mg Mv2 M9 T T- Mv2 -MgM ) is at lowest point, C String is vertical &mass Balancing vertical forces, Mg T Mg +Mv2 - M Mv2 L d) string makes angle with vertical, Te MV Mg cose L .. TIM(gcase v mg cose Mg

Answer 2

Mass= M, Length L, Specd -V à) string is horizontal, Mg Balancing horizontal forces, 'mgcas ng mgs'ne T Mv2 verbcal & mass is b) string is at highest point, MV2 L Bolancing vertical forces, T+Mg Mv2 M9 T T- Mv2 -MgM ) is at lowest point, C String is vertical &mass Balancing vertical forces, Mg T Mg +Mv2 - M Mv2 L d) string makes angle with vertical, Te MV Mg cose L .. TIM(gcase v mg cose Mg