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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.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter56: Arcs And Angles Of Circles, Tangent Circles
Section: Chapter Questions
Problem 22A: Solve the following exercises based on Principles 18 through 21, although an exercise may require...
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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

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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
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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