Ball A is attached to one end of a rigid massless rod, while an identical ball B

Question

Ball A is attached to one end of a rigid massless rod, while an identical ball B is attached to the center of the rod, as shown in the figure. Each ball has a mass of m = 0.500 kg, and the length of each half of the rod is L = 0.480 m. This arrangement is held by the empty end and is whirled around in a horizontal circle at a constant rate, so that each ball is in uniform circular motion. Ball A travels at a constant speed of vA = 4.70 m/s. Find (a) the tension of the part between A and B of the rod and (b) the tension of the part between B and the empty end.

Explanation / Answer

a) Velocity of B = vA/rA * rB = 9.4 m/s

the tension between part A and B = - mAvA2/rA + mBvB2/rB N = 40.7 N

b) the tension between B and empty end = mBvB2/rB = 46.02 N

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