A beam of mass 25kg is suspended from a point 1.3m in from one side. Where must a 55kg mass be placed for the beam to be balanced?
[tex]\tau = rF_ \bot [/tex]
The Attempt at a Solution
This problem has me totally confused. I no that the center of mass of the beam is at 1.35m (assuming that it is uniform). Since the beam is suspended off the center of mass the 55kg mass needs to placed predominantly on the 1.3m section of the beam so that the center of mass of the combined beam and mass is at 1.3m mark. However I am not sure on how to calculate this, I am assuming that a torque (?) calculation maybe required, however I'm not sure on how to apply.
Many thanks for any suggestions and help