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

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

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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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