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Homework Statement
Two spheres A and B of equal mass are attached to each other by a light rod of length 2.4m as shown. The rod has negligible mass. The spheres and rod are set in motion in a circular motion about the point C. Calculate the ratio:
Tension in the rod between A and B
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Tension in the rod between A and C
Note: Although this problem mentions spheres, I think it is only 2D.
Homework Equations
Tension = m*v^2/r
V = angular velocity * r
Angular velocity = a wich is constant.
The Attempt at a Solution
Tension between A and B is worked out from working out the tension between C and B which is m(a*2.4)^2/2.4 then multiply this by (0.8/2.4) because we only want the segment between A and B.
Tension between C and A is m(a*1.6)^2/1.6
The ratio is worked out after much cancellation 0.8/1.6=1/2
However the answers suggested 3/5
Have I worked out the tension between A and B correctly?