A uniform ladder 8 meters long and weighing 350 N rest against a smooth vertical wall at an angle of 30° to the wall. A 700-N man stands 6 meters up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping.

A uniform ladder 8 meters long and weighing 350 N rest against a smooth vertical wall at an angle of 30° to the wall. A 700-N man stands 6 meters up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Dynamics

Section: Chapter Questions

Problem 88AP

See similar textbooks

Related questions

Q: A 218.9N tightrope walker stands at the center of the rope such that each half of the rope makes an…

A: Free body diagram

Q: A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical…

Q: The following setup of masses is hung (las) to a fixed ceiling as shown in the figure below. If M, =…

A: Here, a figure is given, showing a setup of masses hung from the ceiling. It is also given that M1…

Q: The following setup of masses is hung () to a fixed ceiling as shown in the figure below. If M, = 10…

A: Here, a figure is given. It is also given that, M1 =10 Kg M2 =20 Kg We have to find T2 . Let's see…

Q: (a) A man applies a force of F = 3.00 × 102 N at an angle of 60.0° to a door, x = 2.20 m from the…

Q: A square plate of mass M and side a located in the xy-plane as shown. Assume the plate has a uniform…

A: We have a square plate of mass M and side a having surface mass density σ placed in the x-y plane.…

Q: A uniform beam is 5.00 m long and has a mass of 53.0 kg. The beam is supported in a horizontal…

A: Given:-

Q: es. g the directions of the principal axes. principal axis with constant angular velocity. For a…

A: For a rigid body in three dimensions we can find moment of inertia tensor which is given by,…

Q: An athlete holds a 27.7 N pole in equilibrium by exerting an upward force U with her left hand and a…

A: Given that an athlete holds a 27.7 N pole We have to calculate the magnitude of U and D We will use…

Q: 15.0 kg bucket of water is suspended by a very ligl ind a solid uniform cylinder 0.300 m in diameter…

Q: Two Boy Scouts, Bobby and Jimmy, are carrying a uniform wooden tent pole 4.80 m in length and having…

Q: A painter climbs a ladder leaning against a smoothwall. At a certain height, the ladder is on the…

A: (a)The friction between the wall and the ladder is negligible as the wall is smooth.

Q: The figure below shows a beam of uniform density with a mass of 35.5 kg and a length { = 4.95 m. It…

Q: If the beam attached to a hinge is 4 meters long and weighs 600 Newtons, and the sign weighs 400…

Q: a) What is the mechanical advantage of a wheelbarrow, such as the one, if the center of gravity of…

A: Given: Length of the perpendicular level arm = 1.02 cm The center of gravity of the wheelbarrow and…

Q: A horizontal 4.0 m long 5.0 N uniform bar at one end is attached to a wall by a frictionless hinge;…

Q: Problems 7.42 and 7.43 The driveway gate is hinged at its right end and can swing freely The gate is…

A: Given:gate weight, W = 215 lbloap, P = 18.5 lbConsider the free-body diagram given below:…

Q: A 10.2 kg box (Weight = Fg= 100 N) is at one end of a massless board (1.5 m from the fulcrum). a.…

Q: (a)The moment arm of 35 N force, 20 N force and 40 N force respectively are? (b) Net torque about an…

Q: . A 8.0 m long, non-uniform beam weighing 750 N, supported by two weightless cables, is at rest in…

A: T2 = 375N Center of mass will be at center of beam. i.e 4m from left side

Q: A 104.8N tightrope walker stands at the center of the rope such that each half of the rope makes an…

A: Given data The weight of 104.8the tightrope is given as T = 104.8 N. The angle made by the rope…

Q: A horizontal 8.0 m long 57 N uniform bar at one end is attached to a wall by a frictionless hinge…

Q: A uniform thin rod of mass M = 3.39 kg pivots about an axis through its center and bodies, each of…

A: Given: The mass of the rod is 3.39 kg. The mass of the two bodies is 0.217 kg. The total moment of…

Q: A 3.0 m long ladder, of mass 10.0 kg, leans against a smooth wall and rests on rough ground. The…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Problem 11b asks for the x-component of the force on the bridge due to the hinge. Answer in Newtons.…

A: θ = 19° d = 0.8 m l = 8 m M = 2300 kg c = 6.4 m h =12 m m = 1200 kg To find = a) Tension in the…

Q: a constant horizontal force of magnitude 74.6 N is applied to a uniform solid cylinder by fishing…

A: (a) The expression for the torque acting on the uniform solid cylinder is, τ=Iα…

Q: A man stands a distance d = 0.275 m from the left end of a platform as shown in the figure. Assume…

A: Given Data- d=0.275 m L=2 m m=35 kg W=690 N T1=420.37 N T2= 770.12 N T3=322.003 N

Q: Explain why. Thanks

Q: Two people carry a heavy electric motor by placing it on a light board 2.10 m long. One person lifts…

Q: A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical…

A: The beam is 1.88 m long and weighs 490 N.. At a certain instant the worker holds the beam…

Q: FM Q11) How much force (FM in N) must the biceps muscle exert when a 5.0-kg mass is held in the hand…

Q: A 3.0 m long ladder leans against a frictionless wall at an angle of 60°. What is the minimum value…

A: As the ladder should stay without slipping , the system should be in equilibrium condition , where…

Q: (a) A man applies a force of F = 3.00 102 N at an angle of 60.0° to a door, x = 1.60 m from the…

Q: The figure below shows a beam of uniform density with a mass of 33.0 kg and a lengthl = 4.45 m. It…

Q: The flanged steel cantilever beam with riveted bracket is subjected to the couple and two forces…

Q: a diver of weight 580 N standing at the end of a diving board with a length of L =4.5 m and…

A: Free body diagram

Q: The cable AB prevents bar OA from rotating clockwise about the pivot O. If the cable tension is 770…

Q: A man stands a distance d = 0.275 m from the left end of a platform as shown in the figure. The…

A: Answer :- For equilibrium of plank Sigma Fx = 0 T3 + T1 Cos(40)0 = 0 T3 = - T1 Cos (40)0…

Q: Scientists have studied how snakes grip and climb ropes. In one study, they found that an important…

Q: On the third day, Ate Neo's mission is to conduct a routine patrol in a park. She notices a "taho"…

A: In order to balance both the buckets on the yoke, it is important that the vendor carry the yoke on…

Q: If you and your friend are sitting on a seesaw and their masses are 60 kg and 80 kg, (a) how far you…

A: Given:- If you and your friend are sitting on a seesaw The mass of the two friends is given as…

Q: Two masses are attached to a uniform meter stick as shown in the figure below. The masses of m1 and…

A: Two masses are attached to a uniform meter stick as shown in the figure below. The masses of m1 and…

Q: An 8.31-m, 267-N uniform ladder rests against a smooth (frictionless) wall. The coefficient of…

A: Given data: Height of the ladder is, L=8.31 m Wight of the ladder is, Wl=267 N The coefficient of…

Q: A person pushing a horizontal, uniformly loaded, 27.15 kg27.15 kg wheelbarrow of length ?L is…

A: Given information: Here, m is the wheel barrow’s mass and h is the step height.

Q: ► F 60° A

A: Given Data: The mass of plate is m = 75 kg. The length of plate is l = 4 m. The magnitude of force…

Q: Suppose the weight of the drawbridge in Figure shown is supported entirely by its hinges and the…

Q: An athlete holds a 32.8 N pole in equilibrium by exerting an upward force U with her left hand and a…

Q: A 2.99 m long ladder that has a mass of 5.84 kg leans against a frictionless wall. The coefficient…

A: Given, a l = 2.99 m long ladder that has a mass of m = 5.84 kg leans against a frictionless wall.…

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

A uniform ladder 8 meters long and weighing 350 N rest against a smooth vertical wall at an angle of 30° to the wall. A 700-N man stands 6 meters up from the bottom of the ladder. Find the horizontal force necessary at the base to keep the ladder from slipping.

P.S Include the Free Body Diagram, Given and Formulas.

P.S Please use the summation of x and y as the variables.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A painter climbs a ladder leaning against a smoothwall. At a certain height, the ladder is on the verge of slipping.(a) Explain why the force exerted by the vertical wall on theladder is horizontal. (b) If the ladder of length L leans at anangle u with the horizontal, what is the lever arm for this horizontalforce with the axis of rotation taken at the base of theladder? (c) If the ladder is uniform, what is the lever arm forthe force of gravity acting on the ladder? (d) Let the mass ofthe painter be 80 kg, L = 4.0 m, the ladder’s mass be 30 kg,θ = 53°, and the coefficient of friction between ground andladder be 0.45. Find the maximum distance the painter canclimb up the ladder.
A man stands a distance d = 0.275 m from the left end of a platform as shown in the figure. The platform is supported by three cables. Find the tension in each cable (in N). Assume the platform is uniform, with length L = 2.00 m and mass 35.0 kg, and the weight of the man is 690 N. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (b). What If? The man now begins to walk to the right. If each of the cables can support a maximum tension of 800 N, which cable fails first? At what location does this occur (measured in m from the left end of the platform)?
a) What is the mechanical advantage of a wheelbarrow, such as the one, if the center of gravity of the wheelbarrow and its load has a perpendicular lever arm of 5.50 cm, while the hands have a perpendicular lever arm of 1.02 m? (b) What upward force should you exert to support the wheelbarrow and its load if their combined mass is 55.0 kg? (c) What force does the wheel exert on the ground?
A 8-m uniform beam of weight 120 N is supported by two ropes at the ends. If a 500-N person sits at 3.0 m from the left end of the beam, (a) what is the tension in the right rope? (b) What is the tension in the left rope?
The figure below shows a beam of uniform density with a mass of 33.5 kg and a length ℓ = 4.70 m. It is suspended from a cord at a distance d = 1.20 m from its left end, while its right end is supported by a vertical column. (a) What is the tension (in N) in the cord? ______ N (b) What is the magnitude of the force (in N) that the column exerts on the right end of the beam? ______ N
A uniform beam is 5.00 m long and has a mass of 53.0 kg. The beam is supported in a horizontal position by a hinge and a cable, with angle ? = 115°.(a) Draw all the forces acting on the beam.(b) What Newton’s Law will you use to solve this problem?(c) What is the tension ?? on the cable?(d) What are the magnitude of the vertical and horizontalforces acting on the hinge ???(e) What is the magnitude and direction of the torque ??exerted by the tension on the cable?
A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical position. The beam is 2.50 m long and weighs 500 N. At a certain instant the worker holds the beam momentarily at rest with one end at distance d =1.50 m above the floor, , by exerting a force on the beam, perpendicular to the beam. (a) What is the magnitude P? (b) What is the magnitude of the (net) force of the floor on the beam? (c) What is the minimum value the coefficient of static friction between beam and floor can have in order for the beam not to slip at this instant?
A horizontal 4.0 m long 5.0 N uniform bar at one end is attached to a wall by a frictionless hinge; and at the middle of the bar there is a vertical cable pulling down 7.0 N, and at the middle of the bar there is also a cable that is at 45 ° to the horizontal pulling up as shown. i) What is the tension of the upper cable?
In the figure below, the uniform 0.60-kN beam is hinged at P. What is the tension in the tie rope? a. 66 N. b. 1 750 N. c. 1 780 N. d. 2 260 N. e. 2 280 N.
A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical position. The beam is 1.88 m long and weighs 490 N. At a certain instant the worker holds the beam momentarily at rest with one end a distance d = 1.02 m above the floor, as shown in the figure, by exerting a force P→ on the beam. (a) What is the magnitude of P→? (b) What is the magnitude of the (net) force of the floor on the beam? (c) What is the minimum value the coefficient of static friction between beam and floor can have in order for the beam not to slip at this instant?
A.) what is the torque by the weight of your upper body considering sacrum as the pivot, in lb·m? B.) what is the torque by the weight of the packet considering sacrum as the pivot, in lb·m?
A 10.2 kg box (Weight = Fg= 100 N) is at one end of a massless board (1.5 m from the fulcrum). a. How much mass (m) do you have to have at the other end (1.5 m from the fulcrum) to get it to balance? b. How much weight (Fg )? c. How hard do you have to push to begin to lift the box?