**Description:**Priya and her friend Fei opened up a tea shop that serves tea from around the world. For their new shop, they have a 20 kg sign that hangs on a uniform beam of mass 15 kg. The force from the hinge on the beam, \( F_H \), is illustrated in the figure. However, the magnitude and actual direction of \( F_H \) are unknown.**Diagram Explanation:**The diagram shows:- A wall with a horizontal beam extending outwards.- The beam is supported by a hinge represented by the force \( F_H \).- The beam forms an angle of \( 40^\circ \) with a cable anchored on the wall.- The beam is labeled as being 2.0 meters long, and the distance from the wall to the hanging sign is 1.8 meters.- A sign, weighing 20 kg, hangs downward from the end of the beam.- The beam itself has a mass of 15 kg.- The force \( F_H \) is shown but not defined in magnitude or direction.**Explanation Prompt:**- **Explain how you know that \( F_H \) must point up and to the right.**- **Draw a free body diagram for the beam and describe a strategy to find the force from the hinge, \( F_H \).**

At the hinge point, two forces act. One is in the upward direction and the other is in the rightward direction. The resultant force of these forces will be FH which will point up and to the right.Draw the free-body diagram of the system.To calculate the force from the hinge, first, apply the equilibrium condition of the moment about point O to determine the value of the tension force. Further, apply the equilibrium condition of forces along the horizontal and vertical directions to calculate the horizontal and vertical components of force at the hinge support. At last, calculate the resultant of both forces.Calculation of the force from the hinge: Apply the equilibrium condition of the moment about point O. ∑MO=0(mbg)(1 m)+(msg)(1.8 m)−(Tsinθ)(2 m)=0(15 kg)(9.8 m/s2)(1 m)+(20 kg)(9.8 m/s2)(1.8 m)−(Tsin40°)(2 m)=0T=388.775 NApply the equilibrium condition of the forces along the vertical direction. ∑FV=0Fy−mbg−msg+Tsinθ=0Fy−(15 kg)(9.8 m/s2)−(20 kg)(9.8 m/s2)+(388.775 N)sin40°=0|Fy|=93.1 N Apply the equilibrium condition of the forces along the horizontal direction. ∑FH=0Fx−Tcosθ=0Fx−(388.775 N)cos40°=0|Fx|=297.82 NDetermine the force FH. FH=Fx2+Fy2FH=(297.82 N)2+(93.1 N)2FH=312 N

Science

Physics

Priya and her friend Fei opened up a tea shop that serves tea from around the world. For their new shop, they have a 20 kg sign that hangs on a uniform beam of mass 15 kg. The force from the hinge on the beam, FH, is illustrated in the figure. However, the magnitude and actual direction of FH are unknown. 40° e 1.8m 2.0m Explain how you know that FH must point up and to the right. Draw a free body diagram for the beam and describe a strategy to find the force from the hinge, FH.

Priya and her friend Fei opened up a tea shop that serves tea from around the world. For their new shop, they have a 20 kg sign that hangs on a uniform beam of mass 15 kg. The force from the hinge on the beam, FH, is illustrated in the figure. However, the magnitude and actual direction of FH are unknown. 40° e 1.8m 2.0m Explain how you know that FH must point up and to the right. Draw a free body diagram for the beam and describe a strategy to find the force from the hinge, FH.

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 uniform drawbridge must be held at a 41.0° angle above the horizontal to allow ships to pass…

Q: The cable AB carries a tension of 520 N. Determine the moment about O (positive if counterclockwise,…

A: Given,Tension TAB=520 NOB=800 mmOA=360 mm

Q: Bobina and Bob are on the seesaw down at the elementary school playground and decide to see if they…

A: Weight of Bobina , W1 = 400 N Weight of Bob, W2 = 450 N Distance of Bobina from the fulcrum , R1 = 2…

Q: A person is standing on a section of uniform scaffolding as shown in the figure. The section of…

A: The weight of the scaffold acts at the midpoint, L2=1.50m2= 0.750m Weight of the scaffold is…

Q: Three forces F, = 20 N, F2 = 10 N and F, = 5.0 N act on the structure shown in figure below. A…

Q: A uniform ladder 6.9 m long weighing 430 N rests with one end on the ground and the other end…

A: The diagram is shown below In the diagram, WL is the weight of the ladder, WP is the weight of the…

Q: omponent is sist a force b

A: Forces and couples acting on the machine component can be drawn as,

Q: A door has a width of 1 m and a mass of 12 kg. The hinge attaches the door on the left. This time,…

Q: A mobile is constructed of light rods, light strings, and beach souvenirs as shown in the figure…

Q: A beam of negligible mass, supported by a hinge, holds two steel balls as shown in the figure.…

Q: A uniform, 255 N rod that is 1.80 m long carries a 225 N weight at its right end and an unknown…

A: Step 1:Weight of the rod is 255NWeight placed at the right end of the rod is 225NPosition of the rod…

Q: A baseball bat balances 66.1 cm from one end. If a 0.540 kg glove is attached to that end, the…

A: Given data: The balancing point of the glove, x=66.1 cm The mass of the glove, m=0.540 kg The center…

Q: The figure shows two parallel nonconducting rings with their central axes along a common line. Ring…

Q: A beam is plvoted at its center. A 2.0 N weight Is attached to one end of the beam. An empty pan…

Q: 3. A 5.0 m long stationary ladder leans up against a smooth vertical wall. The top of the ladder…

Q: A rope wrapped around a pulley of radius r is pulled with a force F, as seen in the figure. The…

A: The magnitude of the torque due to F about the pivot point is determined by…

Q: A uniform spool is suspended from a vertical wall by a string attached to the spool’s thin axle. The…

A: Given data The Tension in the string is given as T = 2.6 N. The free-body diagram is drawn as,

Q: The figure is an overhead view of a horizontal bar that can pivot; two horizontal forces act on the…

A: An overhead view of a horizontal bar that can pivot; two horizontal forces act on the bar, but it is…

Q: A street light hangs from a traffic pole as shown in the figure. The uniform aluminum pole AB is 7.2…

Q: A uniform ladder of mass m = 40 kg and length l =10 m is leaned against a vertical wall. The foot of…

A: Mass of ladder = 40kg Length of ladder = 10m Foot of ladder = 1.2m

Q: Two children push on opposite sides of a door during play. Both push horizontally and perpendicular…

A: The first child applies a force F1 = 17.1 N at a distance r1 = 0.551 m from the hinges, on one side…

Q: A uniform ladder 7.50 m long weighing 435 N rests with one end on the ground and the other end…

A: The problem can be illustrated as: * PART A: To get the reaction force exerted by the wall, we can…

Q: You are asked to hang a uniform beam and sign using a cable that has a breaking strength of 417 N.…

Q: A 79 kg adult sits at one end of a 9.0m long board. His 21 kg child sits on the other end. Part A…

Q: Determine the torque generated by the 240 N force in the image below. Choose the relevant "pivot…

A: Fx = 240 cos 25 = 217.51 Fy = 240 sin25= 101.43 Torque = 217.51×1.2 + 101.43×0.3 = 291.4456 N

Q: Problem 1: Determine the force in members DE,EI, JI, FI, and FE of the truss. 4 6→ 6 4>4 6 6 4 |100…

A: A two force member is a body that has forces acting on it in only two locations and they have to…

Q: Two 80 N forces are applied to opposite corners of a rectangular plate of length b and width a, as…

Q: A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each…

A: The net force acting on an object is the product of the mass and the acceleration of the object. The…

Q: You open a restaurant and hope to entice customers by hanging out a sign (Figure 1). The uniform…

Q: A uniform 4 m, 60 N horizontal plank is shown with a 40 N weight resting on top, 1.0 m from the…

Q: A 40.0 kg boy sits on a seesaw 3.0 m away from the pivot point. The mass of the wooden plank is 5.0…

A: Given: The mass of the boy is 40.0 kg. The distance is 3.0 m from the pivot point. The mass of the…

Q: Q34. Two spring balances pull each other in opposite directions. If the reading of one spring…

Q: A beam resting on two pivots has a length of L = 6.00 m and mass M = 91.0 kg.The pivot under the…

A: Given data: Length of beam, L=6.00 m Mass of beam, M=91.0 kg Distance, l=4.00 m Mass of woman,…

Q: A 9 800-N shark is supported by a rope attached to a 4.20-m rod that can pivot at the base. 20.0°…

A: The problem is illustrated as: Since we do not have the length of the rod and cable, we will…

Q: A child with a mass of 24.3 kg sits on a see-saw, 2.75 m from its center (on its fulcrum). How far…

Q: Note: please solve for E and F. I have already solve for b,c,and d. This is where I am stuck at.…

Q: A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each…

Q: A uniform beam is 5.0 m long and is supported as shown in the figure. At the center of the beam, a…

Q: A 5.00 m–long uniform diving board that weighs 250.0 N is supported by two pillars. One pillar is at…

A: The free-body diagram of the board is shown below.

Q: A painter stands on a uniform horizontal beam of length L = 6.0 m that is held in equilibrium by…

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

**Description:**

Priya and her friend Fei opened up a tea shop that serves tea from around the world. For their new shop, they have a 20 kg sign that hangs on a uniform beam of mass 15 kg. The force from the hinge on the beam, \( F_H \), is illustrated in the figure. However, the magnitude and actual direction of \( F_H \) are unknown.

**Diagram Explanation:**

The diagram shows:

- A wall with a horizontal beam extending outwards.
- The beam is supported by a hinge represented by the force \( F_H \).
- The beam forms an angle of \( 40^\circ \) with a cable anchored on the wall.
- The beam is labeled as being 2.0 meters long, and the distance from the wall to the hanging sign is 1.8 meters.
- A sign, weighing 20 kg, hangs downward from the end of the beam.
- The beam itself has a mass of 15 kg.
- The force \( F_H \) is shown but not defined in magnitude or direction.

**Explanation Prompt:**

- **Explain how you know that \( F_H \) must point up and to the right.**

- **Draw a free body diagram for the beam and describe a strategy to find the force from the hinge, \( F_H \).**

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

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 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 rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 50.8 kg. A person pushes on the outer edge of one pane with a force of F = 87.8 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. Number i Units 1.2 m F 1.2 m
A 15.0-kg floodlight in a park is supported at the end of a uniform 10.0 kg horizontal beam that is 3.00 m long and hinged to a pole that exerts a reaction force on the beam. A cable at an angle of 0 = 25.0° with the beam helps to support the light. What is the vertical component (R) of the reaction force from the pole? O 49.0 N O 53.7 N O 69.5 N O 32.9 N O 99.8 N
Marcel is helping his two children, Jacques and Gilles, to balance on a seesaw so that they will be able to make it tilt back and forth without the heavier child, Jacques, simply sinking to the ground. Given that Jacques, whose weight is W, is sitting at distance L to the left of the pivot, at what distance L1 should Marcel place Gilles, whose weight is w, to the right of the pivot to balance the seesaw? (figure 1) Part A) Express your answer in terms of L, W, and w. Part B) Now consider this problem as a more formal introduction to torque. The torque of each child about the pivot point is the product of the child's weight and the distance from the pivot to the child's center of mass (center of gravity.) The sign of the torque is taken to be positive by convention if it would cause a counterclockwise rotation of the seesaw. The distance is measured perpendicular to the line of force and is called the moment arm. (figure 1) Find the torque τ about the pivot due to the…
Look at the picture
You set up a Halloween prank by attaching a small board to a hinge above your front door. The far end of the board is held up by a cable that can be released by remote control. You place a spooky spider on the board that is dropped on unsuspecting trick-or-treaters when you release the cable. The drawing below shows the set-up. cable 40° 13 Hinge 60 cm You use a board that is 60 cm long and the cable makes an angle of 40 degrees with the board when the board is held horizontally. You place the spider a distance of r = 40 cm from the hinge. The board has a mass of 3.1 kg and the spider has a mass of 1.3 kg. The hinge applies both a horizontal force and a vertical force. You will be asked to determine the direction of both of these forces (left, right, up, down). What is the magnitude of the tension in the cable in Newtons? T = N What is the magnitude and direction of the horizontal force from the hinge? Enter a positive number for the magnitude. Fh= N Direction ---Select--- What is the…
A monkey climbs a uniform ladder resting at an angle against a smooth wall and smooth floor. The monkey climbs halfway up ladder (L/2). The lower end of the ladder is connected to the wall by a horizontal rope that is frayed and can support up to a maximum tension. In which case is the rope more likely to break? L. Rope O When the monkey climbs down the ladder to a location L/4. O When the monkey climbs up the ladder to a location 3L/4. O When the monkey stays fixed at its position L/2. MacBook Air
A traffic light hangs from a pole as shown in the figure ( Figure 1). The uniform aluminum pole AB is 7.40 m long and has a mass of 11.0 kg. The mass of the traffic light is 23.0 kg. Determine the tension in the horizontal massless cable CD. Figure 3.80 m C 37° A T = 距 ΑΣΦ Submit Request Answer Part B ? N Determine the vertical component of the force exerted by the pivot A on the aluminum pole. ΜΕ ΑΣΦ 1 of 1 Fp,vertical = B Submit Request Answer 000 Part C ? N Determine the horizontal component of the force exerted by the pivot A on the aluminum pole. Fp,horizontal= ΜΕ ΑΣΦ ? N
The fishing pole in the figure below makes an angle of 20.0° with the horizontal. What is the magnitude of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand if the fish pulls on the fishing line with a force F = 110 N at an angle 37.0° below the horizontal? The force is applied at a point L = 2.04 m from the angler's hands. N.m Need Help? Watch It Additional Materials 20.0° eBook 120.0⁰ 37.0° F
Please help!
A uniform, 267 N rod that is 2.06 mm long carries a 225 N weight at its right end and an unknown weight WW toward the left end (see the figure below). When WW is placed 55.9 cm from the left end of the rod, the system just balances horizontally when the fulcrum is located 74.7 cm from the right end. a. What is w (in N)? b. If the weight w is moved 25.3 cm to the right, how far must the fulcrum (balance point) be moved to restore balance? 225 N Figure 1. A mass rests on the left side of a balance beam.
The fishing pole in the figure below makes an angle of 20.0° with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand if the fish pulls on the fishing line with a force F with arrow = 90 N at an angle 37.0° below the horizontal? The force is applied at a point L = 2.20 m from the angler's hands.
no ai please