A uniform 37.0 kg scaffold of length 6.2 m is supported by two light cables, as shown below. An 82.0 kg painter stands 1.0 m from the left end of the scaffold, and his painting equipment is 1.6 mfrom the right end. If the tension in the left cable is twice that in the right cable, find the tensions in the cables (in N) and the mass of the equipment (in kg). (Due to the nature of this problem, do not use rounded intermediate values in your calculations).

A 24.0 kg beam of length L = 35.1 m is attached at an angle of θ = 36.40 to the side of a building. If the beam is holding up a mass M = 64.4 kg and is supported by a horizontal wire that is attached at location X = 24.5 m (measured along the beam from the building to the wire attachment point), what is the force the building is putting on the beam? What is the Direction of force (measured as an angle off of the side of the building (think west of north)

A 16.0-m uniform ladder weighing 510 N rests against a frictionless wall. The ladder makes a 57.0° angle with the horizontal. (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when an 850-N firefighter has climbed 3.90 m along the ladder from the bottom. Horizontal force: magnitude direction Vertical force: magnitude direction towards the wall up N ✓✓ N (b) If the ladder is just on the verge of slipping when the firefighter is 8.70 m from the bottom, what is the coefficient of static friction between ladder and ground?

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