Show all work and circle your final answer. 1. When cutting thin materials like paper, people often us scissors, which have relatively short handles compared to their blades. However, to cut thicker material like tree branches, you might use pair of "loppers" with handles much longer than the blades. Why might this be? 2. Before mechanization, dock workers would use cranes to load and unload heavy objects from ships in port. The crane consisted of a long beam attached to a fulcrum, with its short end tied to a heavy counterweight and its long end tied to the load (for example, a barrel of water). The worker would add their own downward push to the weight of the counterweight in order to lift the load on the other side. Counterweight Load Suppose the counterweight has a mass of 150 kg, and it is hanging 1.0 m from the fulcrum. Suppose the dock worker can exert a maximum downward force F of 8.0x102 N and the load is attached 2.5 m from the fulcrum. (a) What is the torque about the fulcrum exerted by the counterweight? (b) What is the maximum torque exerted by the worker? (c) What is the maximum load the crane can lift? 3. Tall structures like radio towers often have cables or "stays" running from their sides to the ground in order to keep winds from blowing them over. A certain radio tower is 90.0 m tall. The wind applies an overall force of 9.5 x 10* N to the right, which we can model as being applied halfway up the tower. A stay runs from 40.0 in up the tower to a point 35.0 m from its base along the flat ground. Assume the tower is in equilibrium but can pivot about its base. You may neglect the thickness of the tower and the presence of any other stays. Fwind T (a) What is the tension in the stay? (b) If the stay can exert a maximum of 5.5 x 10 N before snapping, what is the strongest force of wind the tower can withstand? 4. A 9.5 kg awning sticks out 1.5 m horizontally from the side of a building. Its center of gravity is at its midpoint, and it can pivot about the point where it is attached to the building. A solid strut of negligible mass runs from 1.0 m below this pivot to the end of the awning."strut (a) If the awning is in equilibrium, what is the torque exerted by the strut? (b) If the awning is in equilibrium, what is the force exerted by the strut