An 8 m ladder, weighing W 360 N leans against a smooth vertical wall, meaning there is no friction between the ladder and the wall, as shown in the figure below. A firefighter, whose weight is Wp 900 N stands 6.5 m up from the bottom of the ladder. Assume that the ladder's weight acts at the ladder's center. Find the force that the wall exerts on the ladder.

An 8 m ladder, weighing W 360 N leans against a smooth vertical wall, meaning there is no friction between the ladder and the wall, as shown in the figure below. A firefighter, whose weight is Wp 900 N stands 6.5 m up from the bottom of the ladder. Assume that the ladder's weight acts at the ladder's center. Find the force that the wall exerts on the ladder.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 34P: In order to get his car out of the mud, a man ties one end of a rope to the front bumper and the...

See similar textbooks

Similar questions

A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = = 4.00 m. A painter of mass m = 70.0 kg stands on the ladder d = 3.00 m from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately.
A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.
A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = ℓ. A painter of mass m stands on the ladder a distance d from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately. Figure P10.73 Problems 73 and 74.
In order to get his car out of the mud, a man ties one end of a rope to the front bumper and the other end to a tee 15 m away as shown below. He then pulls on the center of the rope with a force of 400 N, which causes its center to be displaced 0.30 m, as shown. What is the force of the rope on the car?
A person is standing on a section of uniform scaffolding as shown in the figure. The section of scaffolding is L = 1.50 m in length, has a ms = 25.5 kg mass, and is supported by three ropes as shown. Determine the magnitude of the tension in each rope when a person with a weight of Wp = 660 N is a distance d = 0.700 m from the left end.
A uniform plank of length 5 m and weight 200 N rests horizontally on two supports with 1.1 m of the plank hanging over the right support. To what distance x, can a person who weights 430 N walk on the overhanging part of the plank before it just starts to tip? What is the net torque around the pivot point (take the FR support as the pivot point)?
From the step ladder shown in the figure, sides AC and CE are each 2.44 m long and hinged at point C. Bar BD is a tie-rod 0.762 m long, halfway up. A man weighing 845 N climbs 1.8 m along the ladder. Assuming the floor is frictionless and neglecting the mass of the ladder, find the tension (in N) in the tie-rod.
A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1m of the plank hanging over the right support. To what distance x can a person who weighs 377 N walk on the overhanging part of the plank before it just begins to tip?
A 4 m long horizontal uniform beam of mass 24 kg is supported by a wire as shown in the figure. The wire makes an angle of 26 degrees with the beam. Attached to the beam 1.6 m from the wall is a ball with a mass of 57 kg. VWhat is the tension in the string?
A hiker, wo weights 911 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3440 N, and rests on two concrete supports, one of 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 uniform plank of length 2.00 m and mass 30.0 kg is supported by three ropes, as indicated by the blue vectors. Find the tension in each rope when a 700 N person is d = 0.500 m from the left end
a uniform beam of length 12.0 m is supported by a horizontal cable and a hinge at angle u =50.0°. The tension in the cable is 400 N. In unit-vector notation, what are (a) the gravitational force on the beam and (b) the force on the beam from the hinge?