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

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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

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