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18 Cards in this Set
- Front
- Back
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What are the basic concepts used in mechanics? |
Space, Time, Mass, and Force. |
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What is a Force? |
A force represents the action of one body on another. The two broad categories of Forces are Contact forces and At-A-Distant Forces. |
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What is an External Force? |
An External force is a force that is applied to a body. |
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What is an Internal Force? |
An Internal force is the resistance to deformation, or change of shape, exerted by the material of a body. |
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What are Collinear Forces? |
Collinear forces are forces whose vectors lie along the same straight line. (Co=Same, Linear=Line) |
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What are Concurrent Forces? |
Concurrent forces are forces whose lines of action pass through a common point. |
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What are Coplanar Forces? |
Coplanar Forces are forces whose lines of action lie in the same plane. Note that collinear forces must also be coplanar (same line, same plane, same thing) |
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What is a Rigid Body? |
When a body is acted upon by forces, and the size & shape of the body are not changed, the body is said to be rigid. In other words, when it doesn't deform or shrink when under forces, it's a rigid body. |
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What is a Deformable Body? |
A deformable body is simply the opposite of a rigid body. When forces are applied to it a deformable body deforms in shape and size. |
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What is Transmissibility of a Force? |
A force may be considered as acting at any point on its line of action as long as the direction and magnitude are unchanged.
What this means is that given uniform magnitude and direction of the force over the entire line of action, the force applies at every point along that line of action.
To illustrate, F --->[Truck] is the same as [Truck]---> F
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What are the Types of Force Systems? |
A. Concurrent - Coplanar B. Non-Concurrent - Coplanar C. Concurrent - Non-Coplanar D. Non-Concurrent - Non-Coplanar |
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What is a Concurrent - Coplanar Force System? |
A concurrent - coplanar force system is a system occurs when the lines of action of all forces within the system lie in the same plane and pass through a common point. |
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What is a Non-Concurrent - Coplanar Force System? |
A Non-concurrent - coplanar force system is a system that exists when the lines of action of all forces lie in the same plane but do not pass through a common point. |
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What is a Concurrent - Non-Coplanar Force System? |
A Concurrent - noncoplanar force system is evident when the lines of action of all forces do not lie in the same plane but they do pass through a common point. |
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What is a Nonconcurrent - Noncoplanar Force System? |
A Nonconcurrent - Noncoplanar force system is one whose lines of action of all forces within the system do not lie on the same plane and do not pass through a common point. |
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[Units] What is a Newton? |
For practical purposes, a Newton can be understood as 1 kg = 9.8 N. This is because a Newton is mass * gravitational constant, so kg * m/s^2 = kgm/s^2 and the answer is in Newtons.
For example, a box 1 weighing 5 kg on earth will produce exactly 49 Newtons of force on the ground. (Proof: 5 kg * 9.8 m/s^2 = 49 kgm/s^2 = 49N). |
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What are the Methods of Solution for Concurrent force systems? |
1. Pythagorean theorem 2. Law of Sines (a/sina = b/sinb = c/sinc) 3. Law of Cosines (a/cosa = b/cosb = c/cosc) 4. Σ Forces = 0 (this is the most useful for engineering)
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What are the Methods of Solution for Non-concurrent force systems? |
1. Σ Forces = 0
2. Σ Moments = 0 |
