To learn about forces acting in couples and moments.

I can apply mathematical and/or graphical methods to solve problems related to forces in engineered products

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1. moments of a force:

MOMENT ABOUT AN AXIS.pptx

Introduction to torque

https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/introduction-to-torque

The turning effect of a force applied to a rotational system at a distance from the axis of rotation is a moment. The moment is equal to the magnitude of the force multiplied by the perpendicular distance between its line of action and the axis of rotation.

https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/moments

https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/moments-part-2

2. force/couple systems:

A special case of moments is a couple. A couple consists of two parallel forces that are equal in magnitude, opposite in sense and do not share a line of action. It does not produce any translation, only rotation. The resultant force of a couple is zero. BUT, the resultant of a couple is not zero; it is a pure moment.

For example, the forces that two hands apply to turn a steering wheel are often (or should be) a couple. Each hand grips the wheel at points on opposite sides of the shaft. When they apply a force that is equal in magnitude yet opposite in direction the wheel rotates. If both hands applied a force in the same direction, the sum of the moments created by each force would equal zero and the wheel would not rotate. Instead of rotating around the shaft, the shaft would be loaded with a force tending to cause a translation with a magnitude of twice F. If the forces applied by the two hands were unequal, there would again be an unbalanced force creating a translation of the "system." A pure couple always consists of two forces equal in magnitude.

3. equilibrium of concurrent coplanar forces:

In static, a body is said to be in equilibrium when the force system acting upon it has a zero resultant.

https://www.youtube.com/watch?v=_F9pEwG2R7w&feature=emb_logo

Read pages 27-29 and complete exercises from the Engineering Studies Student Workbook.

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Watch the following video and/or complete the quiz questions.

https://www.youtube.com/watch?v=R8A-R-fm7iY