Item 9 A garage door is mounted on an overhead rail (Figure 1). The wheels at A and B have rusted so that they do not roll, but rather slide along the track. The coefficient of kinetic friction is 0.54. The distance between the wheels is 2.00 m, and each is 0.50 m from the vertical sides of the door. The door is uniform and weighs 900 N. It is pushed to the left at constant speed by a horizontal force F, that is applied as shown in the figure. Figure B k A 2.00 m 3.00 m- h F < 1 of 1 > If the distance ħ is 1.60 m, what is the vertical component of the force exerted on the wheel A by the track? Express your answer to two significant figures and include the appropriate units. D'H μA wwww.. ? nA = Units Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ▾ Part B If the distance his 1.60 m, what is the vertical component of the force exerted on the wheel B by the track? Express your answer with the appropriate units. μA → www. ? nB = Value Units Submit Request Answer ▼ Part C Find the maximum value h can have without causing one wheel to leave the track. Express your answer with the appropriate units. HA B ? hmx = Value Units Value

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

The figure shows a horizontal beam of mass M = 54.5 kg and length L = 6.3 m supported at its left end by a frictionless pin and at the other end by an ideal cable attached to wall h = 6 m above the beam. A mass m = 28.9 kg is suspended from the beam a distance d = 3.7 m from the wall. Find the tension in the cable. h T = m M -L- N

A 11.0-kg monkey climbs a uniform ladder with weight w = 1.40 × 102 N and length L = 2.60 m as shown in the figure below. The ladder rests against the wall and makes an angle of 0 = 60.0° with the ground. The upper and lower ends of the ladder rest on frictionless surfaces. The lower end is connected to the wall by a horizontal rope that is frayed and can support a maximum tension of only 80.0 N. Rope (a) Draw a force diagram for the ladder. Choose File no file selected This answer has not been graded yet. (b) Find the normal force exerted on the bottom of the ladder. (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. N (d) Find the maximum distance d (along the ladder) that the monkey can climb up the ladder before the rope breaks. (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem change? What other information would you need to answer parts (c) and (d)? This answer has not been graded yet.…