A ball on the end of a string is cleverly revolved at a uniform rate in a vertical circle of radius 60.0 cm. Its speed is 4.30 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.
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(b) Calculate the tension in the string when the ball is at the bottom of its path.
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2007-12-15 07:23:36 · 1 answers · asked by Daydreamer 3 in Science & Mathematics ➔ Physics
The centripetal force required to keep the ball moving in a circle is always
F = m v² / r
At the top of the arc, this force is provided by both the tension in the string and by gravity:
T_top + mg = mv² / r
At the bottom of the arc, the tension in the string must provide both the centripetal force AND support the weight of the mass:
T_bottom = mv² / r + mg
Plug in the values given and solve for the tension at these two points in the arc.
2007-12-15 07:41:15 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋