A 9.1 Newton weight is attached to a 9.9 cm from the fulcrum of a balance beam. What weight should be placed 3.4 cm away from the fulcrum on the other side of the beam in order to balance of the system?

Two people carry a heavy electric motor by placing it on a light board 2.10 mm long. One person lifts at one end with a force of 450 NN, and the other lifts the opposite end with a force of 570 NN. What is the weight of the motor? Express your answer in newtons.   Where along the board is its center of gravity located? Express your answer in meters.     Suppose the board is not light but weighs 190 NN, with its center of gravity at its center, and the two people each exert the same forces as before. What is the weight of the motor in this case? Express your answer in newtons.   Where is its center of gravity located? Express your answer in meters.

A beam resting on two pivots has a length of L = 6.00 m and mass M = 79.0 kg. The pivot under the left end exerts a normal force n, on the beam, and the second pivot placed a distance l = 4.00 m from the left end exerts a normal force n,. A woman of mass m = 59.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Where is the woman when the normal force n, is the greatest? X = (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n, when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium…

(a) A person opens a 1.20 m wide door by pushing on it with a force of 57.5 N applied at the center of the door, at an angle perpendicular to the door's surface. What magnitude of torque (in N · m) is applied about an axis through the hinges?   _________N · m   (b) A man opens the same door, using the same force, again directed perpendicular to the surface, but now the force is applied at the edge of the door. What magnitude of torque (in N · m) is applied about the axis through the hinges now?   _________N · m