l) A beam of negligible mass is shown in the given diagram. If a force of 55 N acts at a point 0.45 m away from the hinge and making an angle at 68. What is the magnitude and direction of the torque? 23 Nm #045 III A 2) A 1.2 m long beam is free to rotate about its left end. What force F must be applied in order to achieve rotational equilibrium? 480 N 3) A uniform beam with a mass of 3.5 kg, and a length of 1.6 m. If an object is balancing the beam with a pivot placed 0.50 m from its left end. What is the mass ofthe object? 2.] kg 4% 0.5 m'r 4)The boom as shown is held by a cord which is attached 3M- of the way up the boom. If the tension in the cord is "20 N. what is the weight of the boom? 2!\"! N - _._. 5) What is the tension in the cord? 270 N bar mass = 25 kg 6) A beam of mass 18 kg is held by a string which can hold a maximum tension of 350N. At what distance x can this string be placed before it breaks? 0.55 m 5.11 It: '3') A uniform beam (mass = [9 kg} has a length of 1.2 m. Find a) the tension in the rope. 555 N b) the reaction force at the hinge. 8) A child sits on a plank that is supported by his parents, as depicted in the given diagram below. There is no acceleration. Compare the forces that are provided by the mother (F1) and the father (F1). 9') A uniform ladder has a mass of [6.0 kg and a length of 3.50 m. It stands on. the ground and leans against a vertical wall, making an angle of 620 with the ground. The friction between the wall and the ladder is not signicant. What is the smallest force of friction between the ladder and the ground that will just prevent the ladder from slipping? 41.7 N