l. A1201] N uniform beam is attached to avertical wall with a hinge at one end and is supported by a cable at the other end. A rrate that weighs Ell-[IE] N hangs from the far end of the beam. Calculate the tension in the cable connected tn the wall and the magnitude and direction of the force exerted by the hinge on the beam. 2. A uniform beam rill} m long and weighing 250i] N carries a 3.5m N weight 1.50 m from the far end1 as shown in the gure below. The beam is supported horizontally by a hinge at the wall and a metal wire at the far end. 1What is the minimum tension the wire must be able tn support without breaking? 3. A uniform ladder is Hill-n1 long and weighs Elli] N. The ladder leans against a vertical. frictionless wall at a height of Elli} m above the ground. A horizontal force 13'; is applied to the ladder at a distance of 2.00 m from its base [measured along the ladder]. The roelilieent of static friction between the ladder and the ground is 0.500. {a} 1vii'vl'hat is the maximum value of 13'; that you can push on the ladder to the left without it beginning to slide towards the wall? fr; {b} What is the maximum value of i}; that you can push on the ladder to the right without it beginning to slide away from the wall