Consider a rigid steel beam of length L = 11.5 m and mass mb = 405 kg resting on two supports, one at each end. A worker of mass mw = 76 kg sits on the beam at a distance x from support A. Refer to the figure.  a)When the worker sits at a distance x = 4.5 m from support A, calculate the force, in newtons, that support B must exert on the beam in order for it to remain at rest. Use g with three significant figures. b)The force exerted on the beam by support A is measured and found to be FA = 2180 N. At what distance x, in meters, from support A is the worker sitting now?

a diver of weight 580 N standing at the end of a diving board with a length of L =4.5 m and negligible mass. The board is fixed to two pedestals (supports) that are separated by distance d = 1.5 m. Of the forces acting on the board, what are the (a) magnitude and (b) direction (up or down) of the force from the left pedestal and the (c) magnitude and (d) direction (up or down) of the force from the right pedestal? (e) Which pedestal (left or right) is being stretched, and (f) which pedestal is being compressed?

A 67.0-kg person stands on a lightweight diving board supported by two pillars, one at the end of the board, the other 1.10 m away. The pillar at the end of the board exerts a downward force of 828 N. (a) How far from that pillar is the person standing? (b) Find the force exerted by the second pillar.

A diver of weight 510 N stands at the end of a diving board of length L = 4.9 m and negligible mass (the figure). The board is fixed to two pedestals separated by distance d = 2.0 m. Take the upward direction to be positive. Of the forces acting on the board, what are (a) the force from the left pedestal and (b) the force from the right pedestal? L (a) Number Units (b) Number Units

A diver of weight 510 N stands at the end of a diving board of length L = 4.6 m and negligible mass (the figure). The board is fixed to two pedestals separated by distance d = 1.4 m. Take the upward direction to be positive. Of the forces acting on the board, what are (a) the force from the left pedestal and (b) the force from the right pedestal? (a) Number Units (b) Number Units d→ L

A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 63.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 820-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 247 2 direction vertical force magnitude. 1310 direction up towards the wall N ✓ ✓ N (b) If the ladder is just on the verge of slipping when the firefighter is 9.30 m from the bottom, what is the coefficient of static friction between ladder and ground? 0.333 ✓ (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips? 3.125 xm

A 6.0 m plank with a mass of 50 kg is supported on both ends. An 80 kg worker stands on the plank 1.5 m away from the left end. What weight must each end of the plank support? Separate your answers by a comma (i.e. 340 N, 567 N - the first answer for the left end, the second answer for the right end). Express your answer as a whole number (no decimal). Add the appropriate units.

The two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle which R makes with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. 5.4 KN 2.5 KN Answers: R = i 0 = i 31° /1 14 sata, 201 57³ KN O

A uniform sign is supported by two red pins, each the same distance from the sign's center. Find the magnitude R of the force exerted by pin 1 if M = 31 kg, H = 1.4 m, d = 1.8 m, and h = 1 m. Assume each pin's reaction force has a vertical component equal to half the sign's weight. H R = pony -d- N 1 2 h