# Chapter 7: Forces in Equilibrium

- Created by: Alice
- Created on: 05-04-13 15:24

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- Chapter 7
- Vectors and Scalars
- A vector is any physical quantity that has a direction and magnitude
- A scalar is any physical quantity that is not directional e.g distance

- Balanced Forces
- The combined effect of three forces is only zero if the resultant of any two forces is equal and opposite to the third

- The principle of Moments
- Moment = F * d
- the sum of the clockwise moments = the sum of the anticlockwise moments
- The center of mass of a body is the point through which a single force on the body has not turning effect

- Moments (Extra)
- A couple is a pair of equal and opposite forces acting on a body
- The moment of a couple = torque

- A couple is a pair of equal and opposite forces acting on a body
- Stablility
- Titling to occur: Fd > Wb/2
- If the line of action lies within the wheelbase = will not topple
- 1) Parallel to the slope F = W sin theta 2) Perpendicular to the slope Sx + Sy = Wcostheta

- Titling to occur: Fd > Wb/2
- Equilibrium Rules
- The triangle of forces have the vector sum F1 + F2 + F3 = 0
- A bpdy in eqilibrium acted on by three forces = libnes of actions must intersect at the same point

- For a body in equilibrium 1) the resultant force must be zero 2) the principle of moments must apply

- The triangle of forces have the vector sum F1 + F2 + F3 = 0

- Vectors and Scalars

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