As shown below, a sign weighing 314 N is hanging (via a wire) from a uniform 344 N beam of length L. Additionally, the beam is attached to a cable that makes an angle 0 (0 = 41°) with the beam. 0.3 L 0.7 L D Determine the tension in the cable and the magnitude & direction of the force the hinge (the orange circle) exerts on the beam. Cable tension = Hinge force = Direction of hinge force = -- Choose quadrant -- relative to the horizontal in quadrant

As shown below, a sign weighing 314 N is hanging (via a wire) from a uniform 344 N beam of length L. Additionally, the beam is attached to a cable that makes an angle 0 (0 = 41°) with the beam. 0.3 L 0.7 L D Determine the tension in the cable and the magnitude & direction of the force the hinge (the orange circle) exerts on the beam. Cable tension = Hinge force = Direction of hinge force = -- Choose quadrant -- relative to the horizontal in quadrant

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 26P: Find the magnitude of the tension in each supporting cable shown below. In each case, the weight of...

See similar textbooks

Related questions

Q: A uniform board of length L and weight W is suspended between two vertical walls by ropes of length…

Q: A uniform 400 N beam of length L = 4 m is supporting a 2000 N box as shown. Find the tension in the…

A: There are three conditions that must be satisfied for equilibrium, 1. The sum of forces in…

Q: A 560 N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

A: Apply the condition of equilibrium. The summation of moments about the hinge.ΣM = 0560(4) + 80(3) -…

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: 1. a) A 4.2 m long beam (m1 = 35 kg) is attached to a wall by a hinge as shown. A light horizontal…

Q: A traffic light hangs from a pole as shown in (Figure 1). The uniform aluminum pole AB is 8.00 m…

Q: As shown below, a sign weighing 430 N is hanging (via a wire) from a uniform 169 N beam of length L.…

Q: The figure below shows a beam of uniform density with a mass of 34.5 kg and a length ℓ = 5.20 m. It…

A: a. The condition Στ= 0 about the point is used for the tension in the rope as follows,…

Q: L d- ms A horizontal L=1.3 m long mb=15 kg uniform bar is hinged on the left end and pulled at the…

Q: A uniform beam of length L and mass M has its lower end pivoted at P on the floor, making an angle θ…

Q: A uniform beam of length L = 1.5 m with a mass of 11 kg is attached to a wall by a cable as shown in…

A: Length of beam = 1.5 m Mass. = 11 kg Angle = 26° Tension in the cable = ?

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

Q: A uniform ladder of mass (m = 13.5 kg) and length (L) leans against a frictionless wall, see figure.…

Q: Two individual apply force to opposite sides of a frictionless swinging door. If A applies a 30 N…

Q: Consider a rigid steel beam of length L = 14 m and mass mb = 405 kg resting on two supports, one at…

Q: A uniform 5-m long ladder weighing 60 N leans against a frictionless vertical wall. The foot of the…

A: Given : Length of the ladder, l = 5 m Weight of the ladder, m = 60 N Distance between foot of…

Q: A uniform beam of length L and mass M has its lower end pivoted at P on the floor, making an angle θ…

A: (a)Draw the free body diagram of the beam.

Q: The uniform boom shown below weighs 3000 N. It is supported by the horizontal guy wire and by the…

A: Given: The uniform boom shown below weighs 3000 N. It is supported by the horizontal guy wire and by…

Q: A 15.7 m long board is supported from beneath at two locations. One is at the far left end of the…

A: center of mass of board is at distance of 7.85 mfrom right weigh mg is acting downwardslet the…

Q: 8. An object weighing 240 N is supported by a uniform 135 N horizontal beam as shown in the figure.…

A: Weight of an object: = 240 NWeight of beam: = 135 NLength of Beam: L= 2.40 mDistance from point O…

Q: A 1200-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the…

Q: One end of a uniform 4.30-m-long rod of weight F, is supported by a cable at an angle of = 378 with…

Q: Situation 8. The 40lb door is supported by hinges at A and B. The y-axis is vertical. The hinges do…

A: Given: The weight of the door W = 40 lb. As it is mentioned in the problem that hinge B does not…

Q: As shown below, a sign weighing 162 N is hanging (via a wire) from a uniform 218 N beam of length L.…

A: Step 1:Given:The weight of the signboard: Ws=162NThe weight of the uniform beam:…

Q: 1. A uniform 22 kg beam, 3.0 m long, is attached to a wall on the left by a hinge, and is supported…

A: Torque acting on an object is defined as the product of perpendicular force to the distance from the…

Q: As shown below, a horizontal beam is in equilibrium. The orange circle represents the hinge and the…

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

As shown below, a sign weighing 314 N is hanging (via a wire) from a uniform 344 N beam of length L. Additionally, the beam
is attached to a cable that makes an angle 0 (0 = 41°) with the beam.
0.3 L
0.7 L
A
6
D
0
Determine the tension in the cable and the magnitude & direction of the force
the hinge (the orange circle) exerts on the beam.
Cable tension =
Hinge force =
Direction of hinge force =
-- Choose quadrant -- ŷ
o relative to the horizontal in quadrant

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

Step 2

Step 3

Step 4

Step 5

Conclusion

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 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.
Problems 33 and 34 are paired. One end of a uniform beam that weighs 2.80 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in Figure P14.33. Find the tension in the cable. FIGURE P14.33 Problems 33 and 34.
When tightening a bolt, you push perpendicularly on a wrench with a force of 165N at a distance of 0.140m from the center of the bolt. How much torque are you exerting relative to the center of the bolt?
A 20.0-kg horizontal plank 4.00 in long rests on two supports, one at the left end and a second 1.00 m from the right end. What is the magnitude of the force exerted on the plank by the support near the right end? (a) 32.0 N (b) 45.2 N (c) 112 N (d) 131 N (e) 98.2 N
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?
If an odd number of forces act on an object, the object cannot be in equilibrium.
Check Your Understanding 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. Find the tension in the supporting cable and the force of the hinge on the strut.
At a museum, a 1300-kg model aircraft is hung from a lightweight beam of length 12.0 m that is free to pivot about its base and is supported by a massless cable (Fig. P14.38). Ignore the mass of the beam. a. What is the tension in the section of the cable between the beam and the wall? b. What are the horizontal and vertical forces that the pivot exerts on the beam? FIGURE P14.38 (a) From the free-body diagram, the angle that the string tension makes with the beam is = 55.0 + 18.0 = 73.0, and the perpendicular component of the string tension is FT sin73.0. Summing torques around the base of the rod gives (Eq. 14.2): =0:(12.0m)(1300kg)(9.81m/s2)cos55.0+FT(12.0m)sin73.0=0FT=(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0FT=7.65103N Figure P14.38ANS (b) Using force balance (Eq. 14.1): Fx=0:FHFTcos18.0=0FH=FTcos18.0=[(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0]cos18.0=7.27103NFy=0:FVFTsin18.0(1300kg)(9.81m/s2)=0 FV=FTsin18.0+(1300kg)gFV=[(12.0m)(1300kg)(9.81m/s2)cos55.0(12.0m)sin73.0]sin18.0+(1300kg)(9.81m/s2)FV=1.51104N
Under what conditions can a rotating body be in equilibrium? Give an example.
Show that, as explained in the text, a force F exerted on a flexible medium at its center and perpendicular to its length (such as on the tightrope wire in Figure 5.26) gives rise to a tension of magnitude T=F/2sin() .
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.
What type of stress are you applying when you press on the ends of a wooden rod? When you pull on its ends?