Consider a ladder of length 3.50m and mass 16.0kg , leaning against a vertical wall and making an angle of 64.0° with the floor. A house painter of mass 76.0kg stands on the ladder a distance 2.30m from the end of the ladder on the floor. There is no friction between the ladder and the wall, and a coefficient of static friction of 0.650 between the ladder and the floor. What is the magnitude of the force exerted by the wall on the ladder? Show as much work as you can.

Consider a ladder of length 3.50m and mass 16.0kg , leaning against a vertical wall and making an angle of 64.0° with the floor. A house painter of mass 76.0kg stands on the ladder a distance 2.30m from the end of the ladder on the floor. There is no friction between the ladder and the wall, and a coefficient of static friction of 0.650 between the ladder and the floor. What is the magnitude of the force exerted by the wall on the ladder? Show as much work as you can.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 31PQ: 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...

See similar textbooks

Similar questions

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?
A spade is modelled as a uniform rod, of mass 2kg and length 90cm, attached to a uniform square lamina, of side 20cm and mass 0.5kg. A gardener holds the spade horizontally with hands 30cm and 60cm from the end of the rod. Find the vertical forces exerted by the gardener's hands. Im stuck on this q, pls help.
a uniform beam with a weight of 60 N and a length of 3.2 m is hinged at its lower end, and a horizontal force of magnitude 50 N acts at its upper end.The beam is held vertical by a cable that makes angle u = 25° with the ground and is attached to the beam at height h = 2.0 m. What are (a) the tension in the cable and (b) the force on the beam from the hinge in unit-vector notation?
A uniform ladder of length L, rests against a smooth, vertical wall. If the mass of the ladder is m and the coefficient of static friction between the ladder and the groundis μs = 0.40, find the minimum angle θmin at the ladder does not slip?
A ladder of uniform density and mass m rests against a frictionless vertical wall, making an angle of 60.0° with the horizontal...
A ladder is leaning against a vertical wall, and both ends of the ladder are at the point of slipping. The coefficient of friction between the ladder and the horizontal surface is ?1=0.195 and the coefficient of friction between the ladder and the wall is ?2=0.203. Determine the maximum angle α with the vertical that the ladder can make without falling on the ground.
Two uniform planks, each of mass m = 7.45 kg and length L = 2.51 m, are connected by a hinge at the top and by a chain of negligible mass attached at their centers, as shown in the figure. The assembly will stand upright, in the shape of an A, on a frictionless surface without collapsing. If the chain has the length 0.81 m, find each of the following: a) the absolute value of the tension in the chain, b) the absolute magnitude of the force on the hinge of each p lank
A uniform ladder is 10 m long and weighs 200 N. , the ladder leans against a vertical, frictionless wall at height h = 8.0 m above the ground. A horizontal force is applied to the ladder at distance d = 2.0 m from its base (measured along the ladder). (a) If force magnitude F = 50 N, what is the force of the ground on the ladder, in unit-vector notation? (b) If F = 150 N, what is the force of the ground on the ladder, also in unit-vector notation? (c) Suppose the coefficient of static friction between the ladder and the ground is 0.38; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?
A uniform L = 6.71 m long horizontal beam that weighs WB= 363N is attached to a wall by a pin connection that allows the beam to rotate. Its far end is supported by a cablewith tension Tthat makes an angle of 50.0° with the horizontal, and a person of weight WP= 427.5N is standing d = 2.38m from the pin. Find the magnitude of the force R exertedon the beam by the wall if the beam is in equilibrium. A)532N B)534N C)536N D)538N
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 beam of length L = 2.2 m and mass M = 33 kg has its lower end fixed to pivot at a point P on the floor, making an angle θ = 15° as shown in the digram. A horizontal cable is attached at its upper end B to a point A on a wall. A box of the same mass M as the beam is suspended from a rope that is attached to the beam one-fourth L from its upper end.What is the y-component Py of the force, in newtons, exerted by the pivot on the beam? Py = Write an expression for the tension T in the horizontal cable AB. T = What is the x-component Px of the force, in newtons, exerted by the pivot on the beam? Px =
The following figure shows a 4 m bar attached to the wall through a hinge that rotates freely, but is tied to the wall at its other end so that the system is in equilibrium. If the bar weighs 40 N and the tension in the rope is 20 N, find the angle of inclination θ (theta) that the bar makes with the x-axis and the magnitude of the reaction force at the hinge.