In the figure, one end of a uniform beam of weight 490 N is hinged to a wall; the other end is supported by a wire that makes angles θ = 32° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam.**Diagram Description:**The diagram shows a beam connected to a vertical wall. The left end of the beam is hinged to the wall, and the right end is supported by a wire. The wire forms a right-angled triangle with the vertical wall and the beam. The angle θ (32°) is labeled at both the connection to the wall and the beam, indicating that the wire makes equal angles with both. **Input Fields:**- (a) Input box for tension in the wire with options for units.- (b) Input box for horizontal component with options for units.- (c) Input box for vertical component with options for units.

We begin by setting the torque equal to zero. W = 490 N T =? τ = 0 = L/2 ⋅ W ⋅ sin2θ − L⋅T sin(180 −…

In the figure, one end of a uniform beam of weight 490 N is hinged to a wall; the other end is supported by a wire that makes angles e = 32° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. Hinge (a) Number i Units (b) Number Units (c) Number i Units >

In the figure, one end of a uniform beam of weight 490 N is hinged to a wall; the other end is supported by a wire that makes angles e = 32° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. Hinge (a) Number i Units (b) Number Units (c) Number i Units >

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: In the figure, one end of a uniform beam of weight 300 N is hinged to a wall; the other end is…

Q: The system in the figure is in equilibrium. A concrete block of mass 204 kg hangs from the end of…

A: a) for tension T in string balancing torque about hinge T Sin(52.8°-23.6°) L = (MgLCos52.8°) +…

Q: The system in the figure is in equilibrium. A concrete block of mass 315 kg hangs from the end of…

Q: The system in the figure is in equilibrium. A concrete block of mass 205 kg hangs from the end of…

A: Given: The mass of the concrete block is 205 kg. The mass of the strut is 40.9 kg.…

Q: The system in the figure is in equilibrium. A concrete block of mass 289 kg hangs from the end of…

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: The system in the figure is in equilibrium. A concrete block of mass 214 kg hangs from the end of…

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: The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and…

Q: The system in the figure is in equilibrium. A concrete block of mass 180 kg hangs from the end of…

Q: In the figure, one end of a uniform beam of weight 220 N is hinged to a wall; the other end is…

Q: The system in the figure is in equilibrium. A concrete block of mass 300 kg hangs from the end of…

Q: Consider a rigid steel beam of length L = 11.5 m and mass mb = 405 kg resting on two supports, one…

A: Write the force balance equilibrium equation for the given system and substitute the known values.

Q: The system in the figure is in equilibrium. A concrete block of mass 344 kg hangs from the end of…

A: (a) The tension(T) in the cable. (b) Horizontal component of Force(FH) on the strut from the hinge.…

Q: The system in the figure is in equilibrium. A concrete block of mass 313 kg hangs from the end of…

A: The strut’s free-body diagram is shown below. Here, m denotes the strut’s mass, l denotes the…

Q: The system in the figure is in equilibrium. A concrete block of mass 285 kg hangs from the end of…

A: Data Given , Mass of the block ( M ) = 285 kg Mass of the Sturt ( m ) = 36.7 kg Angles( φ ) = 35.1°…

Q: The system in the figure is in equilibrium. A concrete block of mass 349 kg hangs from the end of…

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

In the figure, one end of a uniform beam of weight 490 N is hinged to a wall; the other end is supported by a wire that makes angles θ = 32° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam.

**Diagram Description:**
The diagram shows a beam connected to a vertical wall. The left end of the beam is hinged to the wall, and the right end is supported by a wire. The wire forms a right-angled triangle with the vertical wall and the beam. The angle θ (32°) is labeled at both the connection to the wall and the beam, indicating that the wire makes equal angles with both.

**Input Fields:**
- (a) Input box for tension in the wire with options for units.
- (b) Input box for horizontal component with options for units.
- (c) Input box for vertical component with options for units.

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

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 drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle 0 = 44° by a brace that is attached to a pin. The beam has a weight of 340 N. Three additional forces keep the beam in equilibrium. The brace applies a force P to the right end of the beam that is directed upward at the angle e with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H and a vertical component V. Find the magnitudes of these three forces. Вeam Hinge Pin Brace (a) V = i (b) P = i (c) H = i > > >
In the figure, one end of a uniform beam of weight 350 N is hinged to a wall; the other end is supported by a wire that makes angles e = 31° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. ITinge (a) Number i Units (b) Number i Units (c) Number i Units
Questions 15-19 A rod of length L with non-uniform mass distribution is hinged horizontally to a vertical wall from one end. The rod is supported by a rope from the other end as shown in the figure such that the rope makes an angle of 30° with the horizontal. The linear mass density (mass per unit of length) of the rod is A(x)=8Cx/L where x is the distance from the hinge (x < L) and C is a constant. The unit of C is kg. The distance between point mass m and the hinge is L/2. M 15. What is mass M of the rode? (а) 8C/3 (Ь) 2C (е) С/2 (а) С (е) 2C/3
The system in the figure is in equilibrium. A concrete block of mass 227 kg hangs from the end of the uniform strut of mass 45.0 kg. For angles = 32.3° and 9 = 65.1%, find (a) the tension T in the cable and the (b) horizontal and (c) vertical components of the force on the strut from the hinge. (a) Number (b) Number i (c) Number i Strut z -Hinge Units Units Units
The system in the figure is in equilibrium. A concrete block of mass 220 kg hangs from the end of the uniform strut of mass 64.4 kg. For angles o = 39.3° and e = 54.6°, find (a) the tension Tin the cable and the (b) horizontal and (c) vertical components of the force on the strut from the hinge. Serut (a) Number Units (b) Number Units (c) Number Units
The system in the figure is in equilibrium. A concrete block of mass 298 kg hangs from the end of the uniform strut of mass 61.4 kg. For angles o = 29.3° and e= 58.1°, find (a) the tension T in the cable and the (b) horizontal and (c) vertical components of the force on the strut from the hinge. em plem Strut blem oblem roblem Hinge Problem (a) Number Units Problem (b) Number Units (c) Number Units ults by Study Click if you would like to Show Work for this question: Open Show Work Question Attempts: 0 of 10 used SAVE FOR LATER SUBMIT ANSWER Agreement Privacy Policy I 9 2000-2020 John Wiley & Sons, Inc. AlI Rights Reserved. A Division of John Wiley & Sons, Inc. Version 4.24.20.1
In the figure, one end of a uniform beam of weight 240 N is hinged to a wall; the other end is supported by a wire that makes angles 0 = 30° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. Hinge (a) Number (b) Number (c) Number Units Units Units >
In the figure, one end of a uniform beam of weight 350 N is hinged to a wall; the other end is supported by a wire that makes angles - 26° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. (a) Number (b) Number (c) Number i i Units Units Units Hinge 8 > <
The system in the figure is in equilibrium. A concrete block of mass 159 kg hangs from the end of the uniform strut of mass 59.2 kg. For angles p = 25.4° and 0 = 55.1°, find (a) the tension Tin the cable and the (b) horizontal and (c) vertical components of the force on the strut from the hinge. Strut T -Hinge (a) Number i Units (b) Number i Units (c) Number i Units