Two ladders, 4.00 m and 3.00 m long, are hinged at point A and tied together by a horizontal rope 0.90 m above the floor. The ladders weigh 480 N and 360 N, respectively, and the center of gravity of each is at its center. Assume that the floor is freshly waxed and frictionless. (a) Find the upward force at the bottom of each ladder. (b) Find the tension in the rope. (c) Find the magnitude of the force one ladder exerts on the other at point A. (d) If an 800-N painter stands at point A, find the tension in the horizontal rope.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 31PQ: A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm...
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Two ladders, 4.00 m and 3.00 m long, are hinged at point A and tied together by a horizontal
rope 0.90 m above the floor. The ladders weigh 480 N and 360 N, respectively, and the center
of gravity of each is at its center. Assume that the floor is freshly waxed and frictionless. (a)
Find the upward force at the bottom of each ladder. (b) Find the tension in the rope. (c) Find
the magnitude of the force one ladder exerts on the other at point A. (d) If an 800-N painter
stands at point A, find the tension in the horizontal rope.

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