A sign hangs from a wall, as shown. The upper left corner is supported by a pin joint, firmly attached to the wall. The upper right corner is supported by a rope. The rope is at a 30° angle from the horizontal. The pin joint is at the same height as the point where the sign attaches to the rope. The sign has a mass of 20kg. It is 2m long and the center-of- mass is 1m from the wall. a) Consider torques about the pin joint. Draw the line-of-action and lever-arm for both the tension force and the weight force. 1m c) What is the tension in the rope? mg b) What is the magnitude of the torque produced by the weight force about the pin joint? У, 30° 2m -X
A sign hangs from a wall, as shown. The upper left corner is supported by a pin joint, firmly attached to the wall. The upper right corner is supported by a rope. The rope is at a 30° angle from the horizontal. The pin joint is at the same height as the point where the sign attaches to the rope. The sign has a mass of 20kg. It is 2m long and the center-of- mass is 1m from the wall. a) Consider torques about the pin joint. Draw the line-of-action and lever-arm for both the tension force and the weight force. 1m c) What is the tension in the rope? mg b) What is the magnitude of the torque produced by the weight force about the pin joint? У, 30° 2m -X
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question

Transcribed Image Text:A sign hangs from a wall, as shown. The upper left corner is
supported by a pin joint, firmly attached to the wall. The
upper right corner is supported by a rope. The rope is at a
30° angle from the horizontal. The pin joint is at the same
height as the point where the sign attaches to the rope.
The sign has a mass of 20kg. It is 2m long and the center-of-
mass is 1m from the wall.
a) Consider torques about the pin joint.
Draw the line-of-action and lever-arm for both the
tension force and the weight force.
1m
c) What is the tension in the rope?
mg
b) What is the magnitude of the torque produced by the weight force about the pin joint?
d) What are the reaction (support) forces at the pin joint? Write your answer as a vector.
Y₁
30°
2m
-X
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 4 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY