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Force System Resultants Moment of a Force Scalar Formulation : Lecture 5 1

Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

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Page 1: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

Force System Resultants

Moment of a Force Scalar Formulation :

Lecture 5

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Page 2: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

If the numerical result of this sum is a positive scalar , (MR)O will be a

counterclockwise moment , and if the result is negative , (MR)O will be a

clockwise moment .

Examples :

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Page 3: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

Solution :

Principle of Moments :

It states that the moment of a force about a point is equal to the sum of

the moments

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Page 4: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

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Page 5: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

Example :

Solution I :

Solution II :

Example :

Determine the moment of the force as shown in figure about point O .

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Page 6: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

Moment of a Couple :

Solution :

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Page 7: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

Example :

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Page 8: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

Solution :

Example :

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Page 9: Force System Resultants Moment of a Force Scalar FormulationResultant Couple Moment. Since couple moments are vectors, their resultant can be determined by vector addition. For example,

Solution :