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1. A hanging sign is attached to the wall via a cable that makes a 30 degree angle with the horizontal sign. The sign is 2m long and 7kg. A 2kg light hangs 0.4m from the edge of the sign. What is the tension in the cable and the forces exerted on the sign by the wall? Pause and Purchase 2. A 1.2kg wheel with radius 0.4m is spun by a motor that exerts a force of 20N at a distance of 0.05m from the center of the wheel. Model the wheel as a solid disk (Moment of Inertia I=0.5°m°r^2) and calculate the angular acceleration of the wheel. 3. An 0.5 kg rock is swung at the end of a 0.3m long string in a vertical circle at a rate of 30rad/s. What is the tension in the string at the top and bottom of the circle? 4. A 10kg piece of lumber that is 3m long leans against the wall at an 80degree angle with the floor. What are the horizontal and vertical forces exerted by the floor, and the horizontal force exerted by wall on the board?