A uniform stationary ladder of length L and mass M leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ. The ladder makes an angle θ with respect to the floor. A painter of mass 1/2M stands on the ladder a distance d from its base. What's the largest value for d in centimeters, so the ladder won't slip? Assume the ladder is 4.5 m long, the coefficient of friction is 0.54, the ladder is at an angle of 46°, and the ladder has a mass of 85 kg.

A uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0 m from the wall. The ladder weighs 160 N. The coefficient of static friction between the foot of the ladder and the ground is 0.40. A man weighing 740 N climbs slowly up the ladder. (a) What is the maximum friction force, in Newtons, that the ground can exert on the ladder at its lower end? (b) What is the actual friction force, in Newtons, when the man has climbed 1.0 m along the ladder? (c) How far, in meters, along the ladder can the man climb before the ladder starts to slip?

A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M1 = 10 kg which is uniformly distributed throughout its length L = 7.1 m. The ladder is propped up at an angle theta = 49o. The coefficient of static friction between the ground and the ladder is mus = 0.49, and the wall against which the ladder is resting is frictionless. Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 5.5 m up the ladder. If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?

A hiker, who weighs 659 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 4280 N, and rests on two concrete supports, one on each end. He stops 1/5 of the way along the bridge. What is the magnitude of the force that a concrete support exerts on the bridge (a) at the near end and (b) at the far end?

A scaffold of mass 79 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 84 kg stands at a point 1.1 m from one end. What is the tension in (a) the nearer (relative to the person) cable and (b) the farther (relative to the person) cable? (a) Number i Units (b) Number i Units

A 10 m long board has a mass of 7 kg. The left end of the board is against a wall and it sticks straight out like a boom.  A rope is tied 1 m from the right end of the board and makes a 44 degree angle with the boom. A 25 kg box hangs 3 m from the right end. Find the tension in the rope.

One end of a uniform 4.10-m-long rod of weight Fg is supported by a cable at an angle of ? = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is ?s = 0.480. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be hung without causing the rod to slip at point A. ------m

Problem 6: A uniform stationary ladder of length L and mass M leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is u. The ladder makes an angle with respect to the floor. A painter of weight 1/2M stands on the ladder a distance d from its base. What is the largest value for d, in centimeters, such that the ladder will not slip? Assume that ladder is 5.5 m long, the coefficient of friction is 0.51, the ladder is at an angle of 48°, and the ladder has a mass of 75 kg. dmax = sin() cos() tan() JT ( 7 8 9 HOME

A stick which is 1.51 meters long is leaned against a wall at an angle. If the coefficient of static friction between the stick and the wall and floor is 0.395, determine the furthest distance from the wall that the bottom of the stick may be placed without slipping.

A fence post of mass m = 8 kg supports a fence with three lengths of barbed wire. The bottom wire is a distance d = 0.35 m from the ground and each wire is a distance 0.35 m above the previous one. Each of these three wires has the tension on it. For this problem, assume that the force exerted by these wires is purely horizontal. An additional guy wire is used to keep the pole upright with a tension of Fa = 490 N. The guy wire attaches to the post at a point h = 0.86 m above the ground and makes an angle of θ = 45 with respect to the horizontal. Write an expression for the tension in any one of the three fence wires.  What is the normal force that the ground exerts upward on the post?