This document discusses vectors, force systems, and moments of force. It provides examples of torques, moments, and the cross product as they relate to force vectors. It also uses a skateboard and a hinged rectangular platform suspended by a cable as examples to illustrate moments of force and bending stresses. The document aims to explain vectors with force systems and resultants, and how moments are calculated as both scalar and vector formulations. It concludes with a problem asking the reader to find the moment about each coordinate axis of the force exerted by a cable suspending a hinged platform.

1. Week 2 Vectors with force system Resultants:
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Real-life example
 Torque, Moment:
 Cross Product(Vector Product):
 Moment of a force-scalar formulation:
 Moment of a force-vector formulation:
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2. Week 2 Vectors with force system Resultants:
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Real-life example
1. Vectors with force systems:
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3. Week 2 Vectors with force system Resultants:
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Real-life example
1. Vectors with force systems:
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4. Week 2 Vectors with force system Resultants:
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2. Moment of a force
When a machine element is loaded transversely, the loads cause
bending of the element
* Skateboard acts as a simply supported beam

5. Week 2 Vectors with force system Resultants:
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Skateboard acts as a simply supported beam
The bending produces deflection of the member. This deflection
produces mechanical strain, which in turn produces mechanical
stress (Hook’s law). When the stress developed exceeds the
elastic limit of the beam material, the beam fails.

6. Week 2 Vectors with force system Resultants:
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Real-life example
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Given:
The rectangular platform is hinged at A and B and supported by
a cable which passes over A frictionless hook at E. The tension in
the cable is 1349N.

7. Week 2 Vectors with force system Resultants:
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Find:
The moment about each of the coordinate axes of the force
exerted by the cable at C.