A weight W is supported by attaching it to a vertical uniform metal pole by a thin cord passing over a pulley having negligible mass and friction. The cord is attached to the pole 40.4 cm below the top and 37.09 pulls horizontally on it. The pole is pivoted about a hinge at its base, is 1.74 m tall, and weighs 54.3 N. A thin wire connects the top of the pole to a vertical wall. The nail that holds this wire to the wall will pull out if an outward force greater than 22.0 N acts on it. (a) What is the greatest weight W that can be supported this way without pulling out the nail? (b) What is the magnitude of the force that the hinge exerts on the - Hinge pole?

A weight W is supported by attaching it to a vertical uniform metal pole by a thin cord passing over a pulley having negligible mass and friction. The cord is attached to the pole 40.4 cm below the top and 37.09 pulls horizontally on it. The pole is pivoted about a hinge at its base, is 1.74 m tall, and weighs 54.3 N. A thin wire connects the top of the pole to a vertical wall. The nail that holds this wire to the wall will pull out if an outward force greater than 22.0 N acts on it. (a) What is the greatest weight W that can be supported this way without pulling out the nail? (b) What is the magnitude of the force that the hinge exerts on the - Hinge pole?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A board sits in equilibrium. On the left end, there is a wire that supports the board from the…

Q: A 0.12 kg horizontal beam has length L=0.8 m. It is supported by a fulcrum at d=0.45 m from the left…

Q: The system in the figure is in equilibrium. A concrete block of mass 221 kg hangs from the end of…

A: (a) The angle between strut and the cable is α=θ-ϕ Substitute the values α=55.7°-39.4°α=16.3° The…

Q: A 870.3 N painter needs to climb d=4.98 m up a ladder (measured along its length from the point…

A: Given values: Painter's weight wP = 870.3 N distance covered by painter d = 4.98 m ladder's length…

Q: 3.17 m beam (mass = 87.5 kg) is attached to a wall. A cable is attached to the end of the beam and…

Q: e bones of the forearm about 2.15 cm beyond the joint. Assume the forearm has a mass of 2.45 kg and…

A: Given values:- Biceps muscle connects to the bones of the forearm,(r0)=2.15 cm=0.0215 m -----(1)…

Q: A 70 kg person stands on the very end of a uniform board of length l, which is supported one-quarter…

A: Given values:Mass of the person, M = 70 kgLength of the rod = LLet the mass of the board be m

Q: Abeam with a length of 3.50 m and a weight of 200 N is attached on one end to a vertical wall with a…

A: Given, Weight of beam, W=200N Length of a beam, L=3.5m Weight of the box, w=50N Let the reactions…

Q: A hungry bear weighing 730 N walks out on a beam in an attempt to retrieve a basket of goodies…

Q: The bones of the forearm (radius and ulna) are hinged to the humerus at the elbow. The biceps muscle…

Q: In the figure, a uniform beam with a weight of 51.7 N and a length of 3.12 m is hinged at its lower…

Q: A board sits in equilibrium. On the left end, there is a wire that supports the board from the…

Q: A 1,055.189 N painter needs to climb d=1.059 m up a ladder (measured along its length from the point…

Q: A 22.3 kg uniform beam is in static equilibrium. The mass of the object at the end of the beam is…

A: Required :: The magnitude of the tension force holding the beam.

Q: A 5.30 kg lamp is hung from an 8.00 m long horizontal beam, as shown in the figure. The left end of…

A: Tension in the wire( T )= 77.88 N Here is the explaintion in the given image

Q: 8.00 m long beam with a mass of 8.70 kg is suspended horizontally from a post, as shown. The left…

Q: A beam resting on two pivots has a length of L = 6.00 m and mass M = 77.0 kg. The pivot under the…

Q: A uniform ladder with mass m; = 14kg and length L= 3.2m rests against a smooth wall. A…

Q: 5.0m long uniform ladder leans against a smooth wall and its base rests on a rough floor. The ladder…

A: Mass of ladder m= 18.0kg Length of ladder L = 5.0 m The base of ladder is a distance of d= 2.3 m…

Q: A 1,401.448 N painter needs to climb d=2.295 m up a ladder (measured along its length from the point…

Q: A 0.19 kg horizontal beam has length L-0.8 m. It is supported by a fulcrum at d=0.50 m from the left…

Q: connected to the beam a distance L = 5.0 m from the wall, at an angle 0 = 30° as shown in the…

Q: A 0.17 kg horizontal beam has length L=1.0 m. It is supported by a fulcrum at d=0.50 m from the left…

Q: A uniform ladder is 15 m long and weighs 210N. In the figure, the ladder leans against a vertical,…

A: Here given the length of the ladder is, AC=15 m, the height of the wall is, BC=6.5 m, the weight of…

Q: A 30kg ladder is leaning against the wall. The ladder is 8m long and the base of the ladder is 2.5m…

A: To find:The force push against the ladder.Given:The weight of the ladder acts downward from its…

Q: A 592.857 N painter needs to climb d=3.747 m up a ladder (measured along its length from the point…

A: Given weight of a painter = 592.857 N d = 3.747 m up a ladder painter can move (measured along its…

Q: The bones of the forearm (radius and ulna) are hinged to the humerus at the elbow. The biceps muscle…

Q: A 1,057.1 N painter needs to climb d=5.18 m up a ladder (measured along its length from the point…

Q: A rod is laying on top on two poles. The rod is uniform and has a length of 3.22 m. The left pole is…

Q: A 651.152 N painter needs to climb d=4.59 m up a ladder (measured along its length from the point…

Q: painter position d Ladder length theta

A: Let the weight of painter and ladder be Wp and Wl respectively. Let also the length of the ladder l.…

Q: Part A How far beyond point B can the boy walk before the beam tips? ΤΗ ΑΣΦ VO www m Request Answer…

Q: A painter needs to climb d=1.2 m up a ladder (measured along its length from the point where the…

A: The painter climbs up the ladder, which is inclined at an angle of 48.03o with the horizontal. Due…

Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

A weight W is supported by attaching it to a vertical uniform metal
pole by a thin cord passing over a pulley having negligible mass and
friction. The cord is attached to the pole 40.4 cm below the top and
37.09
pulls horizontally on it. The pole is pivoted about a hinge at its base,
is 1.74 m tall, and weighs 54.3 N. A thin wire connects the top of
the pole to a vertical wall. The nail that holds this wire to the wall
will pull out if an outward force greater than 22.0 N acts on it.
(a) What is the greatest weight W that can be supported this way
without pulling out the nail?
(b) What is the magnitude of the force that the hinge exerts on the
pole?
- Hinge

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

The bones of the forearm (radius and ulna) are hinged to the humerus at the elbow. The biceps muscle connects to the bones of the forearm about 2.15 cm beyond the joint. Assume the forearm has a mass of 2.35 kg and a length of 0.445 m. When the humerus and the biceps are nearly vertical and the forearm is horizontal, if a person wishes to hold an object of mass 6.15 kg so that her forearm remains motionless, what is the force F exerted by the biceps muscle? 5 Humerus. F= Elbow. Biceps muscle Radius Ulna Hand N
A horizontal, uniform beam with a mass of 33.5 kg and a length ℓ = 5.80 m is suspended from a rope at a distance d = 1.20 m from its left end, while its right end is supported by a vertical column. A beam with a length of ℓ is suspended from a rope and supported by a vertical column. The rope is attached at a point that is a distance d from the left end of the beam. The column is beneath the right end of the beam. (a) Calculate the tension (in N) in the rope. N (b) Calculate the magnitude of the force (in N) that the column exerts on the right end of the beam.
A 400.0-N sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 600.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. (a) What is the y component of the tension in the rope? (b) What is the x component of the tension in the rope? (c) What is the magnitude of the tension in the rope? (a) y component of the tension: Ty = (b) x component of the tension: Tx = (c) What is the magnitude of the tension in the rope?
A uniform ladder whose length is 6.0 m and whose weight is 43O N leans against a frictionless vertical wall. The coefficient of static friction between the level ground and the foot of the ladder is 0.42. What is the greatest distance the foot of the ladder can be placed from the base of the wall without the ladder immediately slipping?
Ea- d ms A horizontal L=1.4 m long mb3D12kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 30° angle with horizontal. A 22 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.
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 ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 61.5 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. (a) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip. (b) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip.x = (c) Check the answer to part (e) by computing torques around the first pivot point.x = (d)Except for possible slight differences due to rounding, is the answer the same for F and E?
A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. Since the floor is rough, it exerts both a normal force N1 and a frictional force f1 on the ladder. However, since the wall is frictionless, it exerts only a normal force N2 on the ladder. The ladder has a length of L = 4.4 m, a weight of WL = 53.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? N (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? N
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…
Review Conceptual Example 7 before starting this problem. A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 375 N walk on the overhanging part of the plank before it just begins to tip? X = i 41.1 m²
Question 4: A box (M = 140 kg) is sitting on a 6.0 m light uniform board (with negligible mass). The board is supported by two pivots one at each end. The box is sitting x = 1.6 m from the left side of the board as shown. What is the magnitude of the normal force produced by the pivot at the right end (ng) measured in Newtons? M 6.0 m- /В DB
A beam resting on two pivots has a length of L = 6.00 m and mass M = 94.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 51.5 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. (a)Where is the woman when the normal force n1 is the greatest? x = _____m(b) What is n1 when the beam is about to tip?____N(c) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip.____N