1. A 20-lb force is applied to the control rod AB as shown in Figure 2.1. Knowing that the length of the rod is 9 in. and that a is 25 degrees, determine the moment of the force about point B by resolving the force into horizontal and vertical components.
1. A 20-lb force is applied to the control rod AB as shown in Figure 2.1. Knowing that the length of the rod is 9 in. and that a is 25 degrees, determine the moment of the force about point B by resolving the force into horizontal and vertical components.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
PROBLEM NO. 1 ONLY
Subject Guide Topics: Coplanar Application, PRINCIPLE OF MOMENTS (VARIGNON’S THEOREM), MOMENT OF A FORCE, Applications of the cross product, Dot Product, UNIT VECTORS, VECTOR NOTATION, VECTOR ALGEBRA
SHOW GIVEN, ILLUSTRATIONS, SOLUTIONS & FINAL ANSWER
Transcribed Image Text:The following problems are given to assess your ability to apply vector algebra and solve
moments of forces.
Instructions. Solve the following problems, refer to your Assignment Guide on the specific
guidelines on formats and how to submit your solution.
1. A 20-lb force is applied to the control rod AB as shown in Figure 2.1. Knowing that
the length of the rod is 9 in. and that a is 25 degrees, determine the moment of the
force about point B by resolving the force into horizontal and vertical components.
2. A crate of mass 80 kg is held in the position shown in Figure 2.2. Determine:
(a) the moment produced by the weight W of the crate about E,
(b) the smallest force applied at A that creates a moment of equal magnitude and
opposite sense about E
(c) the magnitude, sense, and point of application on the bottom of the crate of
the smallest vertical force that creates a moment of equal magnitude and opposite
sense about E.
-0.6 m--0.6 m-
fa
191
0.5 m
20 lb
GUIO TG
D
0.85 m
65
B
Fig. 2.1
Fig 2.2
OPIES
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