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a) A uniform plank 8.00 m in length with mass 50.0 kg is supported at two...

a) A uniform plank 8.00 m in length with mass 50.0 kg is supported at two points located 1.00 m and 5.00 m, respectively, from the left-hand end. What is the maximum additional mass you could place on the right-hand end of the plank and have the plank still be at rest?

b) The rear wheels of a truck support 57.0 % of the weight of the truck, while the front wheels support 43.0 % of the weight. The center of gravity of the truck is 2.4 m in front of the rear wheels. What is the wheelbase of the truck (the distance between the front and rear wheels)?

c) A copper wire has a radius of 3.5 mm. When forces of a certain equal magnitude but opposite directions are applied to the ends of the wire, the wire stretches by 5.0×10−3 of its original length. What is the tensile stress on the wire? Young's modulus for copper is 11×1010Pa. What is the magnitude of the force on either end?

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