Design a decorative \"mobile\" to consist of a low-mass rod of length 0.46 m sus

Question

Design a decorative "mobile" to consist of a low-mass rod of length 0.46 m suspended from a string so that the rod is horizontal, with two balls hanging from the ends of the rod. At the left end of the rod hangs a ball with mass 0.716 kg. At the right end of the rod hangs a ball with mass 0.222 kg. You need to decide how far from the left end of the rod you should attach the string that will hold up the mobile, so that the mobile hangs motionless with the rod horizontal ("static equilibrium"). You also need to determine the tension in the string supporting the mobile.
(a) What is the tension in the string that supports the mobile?
tension = N
(b) How far from the left end of the rod should you attach the support string?
distance from left end = m

Explanation / Answer

tension in the strings = (.716+.222)*g = 9.182 N

balance the moments
let the distance from the left end be x
.716*x = .222(.46-x)
x = .108 m

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