Consider a beam of length L with a fulcrum x meters from one end (see figure). There are objects with weights w, and W, placed on opposite ends of the beam, where W, < w,. Find x such that the system is in equilibrium. (Round your answer to three decimal places.) In order to move a 2400-newton rock, a person weighing 800 newtons wants to balance it on a beam that is 5 meters long. m

A 55 kg uniform board 2.44 m long is supported by a pivot 78 cm from the left end and by a scale at the right end (see the figure).(Figure 1) Figure O 1 of 1> Part A Where should the 44 kg child sit if the scale is to read 100 N? Express your answer using two significant figures. IVE ΑΣΦ x = Submit Part B x = Request Answer Where should the 44 kg child sit if the scale is to read 300 N? Express your answer using two significant figures. IVE ΑΣΦ Submit Request Answer ? Pod ? cm from the left end of the board cm from the left end of the board

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A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. N2 mg d b Since the floor is rough, it exerts both a normal force N, and a frictional force f, on the ladder. However, since the wall is frictionless, it exerts only a normal force N, on the ladder. The ladder has a length of L = 4.70 m, a weight of W = 68.0 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90 kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 N2 = f1 %3D (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N1 = N N2 = f1