50.0 cm, uniform, 60.0 N shelf is supported horizontally by two vertical wires attached to the sloping ceiling (Figure 1). A very small 25.0 N tool is placed on the shelf midway between the points where the wires are attached to it.Find the tension in the left-hand wire.Find the tension in the right-hand wire. A uniform, 255 N rod that is 1.80 m long carries a 225 N weight at its right end and an unknown weight W toward the left end (Figure 1). When W is placed 50.0 cm from the left end of the rod, the system just balances horizontally when the fulcrum is located 75.0 cm from the right end.Find W .If W is now moved 30.0 cm to the right, how far must the fulcrum be moved to restore balance? You open a restaurant and hope to entice customers by hanging out a sign (Figure 1). The uniform horizontal beam supporting the sign is 1.50 m long, has a mass of 19.0 kg , and is hinged to the wall. The sign itself is uniform with a mass of 34.0 kg and overall length of 1.20 m . The two wires supporting the sign are each 34.0 cm long, are 90.0 cm apart, and are equally spaced from the middle of the sign. The cable supporting the beam is 2.20 m long.What minimum tension must your cable be able to support without having your sign come crashing down?What minimum vertical force must the hinge be able to support without pulling out of the wall?