(a) Is the magnitude of the centripetal force acting on theball the same at each

Question

(a) Is the magnitude of the centripetal force acting on theball the same at each point on the circle?

(c) Is the tension in the string greater when the ball is attwelve o'clock position or when it is at the six o'clock position,or is the tension the same at both positions?
A 0.20-kg ball on a string is whirled on a vertical circle at aconstant speed. When the ball is at the three o^'clockposition, the tension is 16N. (a) Is the magnitude of the centripetal force acting on theball the same at each point on the circle? (b) When the ball is at the three o'clock position, what isproviding the centripetal force - gravity, the tension in thestring, or a combination of both? (c) Is the tension in the string greater when the ball is attwelve o^'clock position or when it is at the six o^'clock position,or is the tension the same at both positions? (d) What is the algebraic expression for the magnitude T ofthe tension at the twelve o^'clock position? Express youranswer in terms of the magnitude Fc of the centripetal force, the massm of the ball, and the magnitude g ofthe acceleration due to gravity.

Explanation / Answer

m = 0.20 kg, When the ball is at the three o'clock position, thetension T3 = 16N. a) the magnitude of the centripetal force acting on the ball =mv2/R = constant. b) When the ball is at the three o'clock position, the tension inthe string is providing the centripetal force. c) at twelve o'clock position: T12 + mg = mv2/R, so T12 =m(v2/R - g) at the six o'clock position: T6 - mg = mv2/R, so T6 =m(v2/R + g) so T12

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