Two ladders, 4m and 3m long and 40kg and 30kg mass respectively, are hinged toge

Question

Two ladders, 4m and 3m long and 40kg and 30kg mass respectively, are hinged together and tied together by a horizontal rope of length 2.5m so the hinge makes a 90 angle as shown in the above gure. Each ladder's center of mass is at its midpoint, and the rope connects their centers of mass. The oor is frictionless, and assume Earth's gravity. (a) (5 points) What is the normal upward force from the oor acting on the left ladder, in Newtons? On the right ladder, in Newtons? (b) (5 points) What is the tension T in the rope, in Newtons? (c) (5 points) What is the magnitude of the force that each ladder exerts on the other at the hinge, in Newtons?

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