16. ao The drawing shows a rectangular piece of wood. The forces applied to corners B and D have the same magnitude of 12 N and are directed parallel to the long and short sides of the rectangle. The long side of the rectangle is twice as long as the short side. An axis of ro- tation is shown perpendicular to the plane of the rectangle at its center. A third force (not shown in the drawing) is applied to cor- ner A, directed along the short side of the rectangle (either toward B or away from B), such that the piece of wood is at equilib- rium. Find the magnitude and direction of the force applied to corner A. A D Axis Problem 16

An 88 kg person stands on a uniform ladder 4.0 m long, that weighs 100 N, as shown in the figure(Figure 1). The floor is rough; hence, it exerts both a normal force, f1, and a frictional force, f2, on the ladder. The wall, on the other hand, is frictionless; it exerts only a normal force, f3. Figure f₁ mg f3 a-3.8 m 1 of 1 Part A Using the dimensions given in the figure, find the forces exerted on the ladder when the person is halfway up the ladder. Express your answers using two significant figures separated by commas. fi, f2, f3 962.4,157.17,157.17 Submit ΓΨΠ ΑΣΦ Part B Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining f1, f2, f3 = w Find the forces exerted on the ladder when the person is three-fourths of the way up the ladder. Express your answers using two significant figures separated by commas. VE ΑΣΦ kN ≈ ? kN

A plank which weighs 2.00 x 102 N with a length of 8.00 m is connected to a wall as seen in the figure below. The one end of the plank is held horizontally by a rope that makes an angle of 53.0° with the plank. A man stands 2.00 m from the wall. Calculate the tension in the rope as well as the magnitude and direction of the force applied by the wall on the plank, if the man weighs 6.00 x 102 -N. 3.0% K00 m

A diving board of length 3.00 m is supported at a point 1.00 m from the end, and a diver weighing 550 N stands at the free end (Figure 1). The diving board is of uniform cross section and weighs 270 N. For related problemealing ting and strateginn Figure K-1.00 m- -2.00 m 1 of 1 ▼ Part A Find the magnitude of the force at the support point. Express your answer in newtons. VG ΑΣΦ Fsupport Submit Part B = Request Answer ? N

Consider the 120-cm board supporting three loads as shown below. The beam weighs 45 grams. If the system is in equilibrium, a. what is the magnitude of the force exerted by the pin support to the board? b. Find the perpendicular distance, x, of the pin support from the left end of the board. 30cm A В C 259 30g 75g

Problem 5: Fr Fm Bone -Muscle 100 30 cm W 4 cm 40 cm A simplified model of a human arm holding a weight is shown on the right. The length of the forearm is 40 cm and it has a mass of 1.7 kg. The bicep muscle is attached 4 cm in from the elbow joint and makes an angle of 73° with the forearm. The weight in the person's hand has a mass of 5 kg. a) What is the magnitude of the force provided by the bicep muscle needed to keep their arm at rest? b) What is the magnitude and direction of the force acting at the elbow (F;) in that same case?

A uniform plank of length 2.00 m and mass 27.5 kg is supported by three ropes, as indicated by the blue vectors in the figure below in each rope when a 725-N person is d = 0.500 m from the left end. magnitude of T, N magnitude of T, N magnitude of T, N 40.0° -2.00 m

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. 4.8 kN 2.0 KN Answers: R- 8- i 28° √14 21 10/1 www/www de/ded HO 61² kN

An archer's bow is drawn at its midpoint until the tension in the string is 0.866 times the force exerted by the archer. What is the angle between the two halves of the string? Number i ! Units ° (degrees)

B 60° Figure 3 L A 5. A beam AB of length 10m and negligible mass leans against a wall at an angle of 60° to the horizontal. It is held at B by a string as shown. There is no friction at either of the ends A or B. A koala of mass M = 10 kg climbs up the beam from B. If the breaking tension of the string is 40 N, find the distance reached by the koala just before the string cannot support any more weight and breaks.