As depicted in the figure, a man of mass 60 kg stands on a light weighing machine placed inside a box of mass 30 kg . The box is suspended from a pulley fixed to the ceiling via a light rope, while the man grasps the rope's other end. Determine the weight indicated by the machine if the man keeps the box stationary. Furthermore, determine the force he must exert on the rope so that the machine displays his correct we

Step-by-step solution

Let the mass of the man be M = 60 kg and the mass of the box be m = 30 kg . Let T be the tension in the rope and N be the normal reaction between the man and the weighing machine. When the box is stationary, the acceleration of the system is zero. Considering the man and the box as a single system, the upward forces are the tensions from the two segments of the rope ( 2T ), and the downward force is the total weight. 2T = (M + m)g 2T = (60 + 30)g = 90g T = 45g Considering the forces acting on the man alone, the upw