A 4.00 meter long uniform ladder with mass 10.0 kilograms leans against a wall, making an angle of 60 degrees with the floor. A person, who has a mass of 60 kilogams, stangs exactly halfway up the ladder. The wall is frictionless. The friction between the bottom of the ladder and the floor keeps the ladder from slipping. Find the magnitude and direction of the force that acts on the bottom of the ladder.

A 4.00 meter long uniform ladder with mass 10.0 kilograms leans against a wall, making an angle of 60 degrees with the floor. A person, who has a mass of 60 kilogams, stangs exactly halfway up the ladder. The wall is frictionless. The friction between the bottom of the ladder and the floor keeps the ladder from slipping. Find the magnitude and direction of the force that acts on the bottom of the ladder.

Similar questions

L = 2.0 m A diver with a mass of 43 kg is standing 1.3 m from the left end of a diving board. This diving board has a mass of 83 kg and a length of 2 meters. It is supported by a pillar that is 0.5 m from the left end (labeled F, in the figure) and a bolt that holds the left end down (labeled F2 in the figure). What is the magnitude of the force from the pillar, labeled F1. F = What is the magnitude of the force from the end of the board, labeled F2. F2 = What position could the diver stand at to make both F, and F2 a minimum? 3:45 PM
A uniform beam of length L = 11.7 meters and mass of 109.3 kg is pinned at one end and is being supported by a wire as shown. The wire is connected to the beam x = 3.3 meters from the pin. A person of mass 81.6 kg is standing all the way out on the edge of the beam. If θ = 17.3 degrees and φ = 79.4 degrees, what is the tension in the wire?
A beam resting on two pivots has a length of L = 6.00 m and mass M = 87.0 kg. The pivot under the left end exerts a normal force n₁ on the beam, and the second pivot placed a distance = 4.00 m from the left end exerts a normal force n₂. A woman of mass m = 52.0 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. -L- m M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Where is the woman when the normal force n₁ is the greatest? x = L m (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n₂ when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium equation, with torques computed…
A beam with length of 2 m and a mass of 10 kg supports a 50 kg box. The beam is connected to a wall by a hinge at its base and a horizontal wire. The wire is connected to the beam 1.5 m from the hinge and makes an angle θ of 35o to the beam. The goal is to find the tension in the wire and the horizontal and vertical components of the force exerted by the hinge on the board. Suppose the maximum tension that the wire can withstand is 1500 N. What is the maximum load that the hinge can support before the wire breaks?
A uniform disk with mass m = 8.75 kg and radius R = 1.41 m lies in the x-y plane and centered at the origin. Three forces act in the +y- direction on the disk: 1) a force 315 N at the edge of the disk on the +x-axis, 2) a force 315 N at the edge of the disk on the -y-axis, and 3) a force 315 N acts at the edge of the disk at an angle 0 = 38° above the -x-axis. +y +x F3 IF, F2
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 beam resting on two pivots has a length of L = 6.00 m and mass M = 77.0 kg. The pivot under the left end exerts a normal force n₁ on the beam, and the second pivot placed a distance = 4.00 m from the left end exerts a normal force n₂. A woman of mass m = 61.0 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. m L M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Where is the woman when the normal force ₁ is the greatest? X = m (c) What is n₁ when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n₂ when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium…
A 18.5 kg door that is 1.02 m wide opens slowly as a pull of constant magnitude 53.3 N is exerted on the doorknob. This applied force, which is always perpendicular to the door, is necessary to balance the frictional torque in the hinges. How large must an applied force of constant magnitude be in order to open the door through an angle of 90.0° in 0.474 s?
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 fisherman has caught a fish on his pole, and to keep the pole steady he has to apply an upward force of F2 = 265 N at an angle of 58° with respect to the pole (see figure). The length of his pole is 3.2 m, and he is holding it a distance 0.65 m from the end, where he is applying a downward force F1. Part (a) With how much force, F1, in newtons, does he have to push straight downward on the end of his pole to keep the pole from moving? You may assume the pole is massless. Part (b) What is the mass of the fish on the end of the pole, in kilograms?
A yo-yo (with inner radius r0.5in and outer radius r.=1.5in) rests against a wall while its string is attached to the top of the wall as shown. Find the minimum coefficient of friction to prevent slip. The yo-yo weighs 0.31bs. 30°