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| Statistics is a part of Statics |
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| In Statics, Space and Force are two major physical quantities, while time is not. |
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| There are ten major principles or laws applicable in Statics |
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| Principle of transmissibility deals with multiple forces acting on a particle |
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| In order to apply the third law of Newton there must be at least two bodies in contact. |
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| The law of addition of two forces allows us to replace the two forces acting on a body by only a single force called the resultant. |
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| Newton's first law applies to particles, rigid bodies as well as deformable bodies. |
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| Principle of transmissibility states that the conditions of equilibrium or of motion of a particle remain unchanged if a force acting on particle is replaced by another force of equal magnitude and opposite direction but same line of action. |
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| In many engineering problems the data is vary rarely known with an accuracy greater than 0.2 percent. Hence the answers to such problems must not be displayed with an accuracy greater than 0.2 percent. |
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| Vector operations described in chapter 2 are also called as vector algebra |
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Definition
| Rectangular components of a planar force are not necessarily in the same plane as the given force. |
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Definition
| Addition of two vectors is a non-commutative operation |
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Definition
| Triangle rule for vector addition results from two triangles forming a parallelogram which yield the same resultant |
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| The product of a scalar and any vector results in changing magnitude or direction or both magnitude and direction of that vector. |
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Definition
| A force can be resolved into unlimited number of components. |
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Definition
| When the lines of action of two components of a given force are known then it is possible to compute the magnitudes of both components of that force using the parallelogram law. |
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Definition
| Rectangular components of a force have their lines of action mutually perpendicular to each other |
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| Commutative and Distributive |
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Definition
| The scalar product of vectors is |
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| The dot product of two vectors could be used to compute the projection of one vector along a given line. |
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| If the dot product of any two vectors is negative then the angle between those two vectors is more than 90 degrees. |
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Definition
| If two systems of forces are equivalent then they are also equipollent. |
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Definition
| A system of forces reduces to a WRENCH when the resultant force and the resultant moment due to all forces are perpendicular to each other. |
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| The magnitude of the moment of a force about a point is always more than that about a line passing thru that point. |
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| External forces are entirely responsible for external behavior of a rigid body |
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| Dot product is an operation on two vectors which results in the product of two scalars and the sine of the angle between the two vectors |
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Definition
| A clear decision should be made regarding the choice of the free body or bodies and separated from all other bodies. |
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| to prevent translation or rotation or both of that rigid body |
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Definition
| The reactions at the supports, or connections or the joints of a rigid body are: |
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Definition
| For a two dimensional structure the equlibrium conditions yield four scalar equations |
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| which has more unknowns than the number of equilibrium equations fomed from the principles in statics. |
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Definition
| A statically indeterminate structure is one |
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| Commutative and Distributive |
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Definition
| The scalar product of vectors is |
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