Page Description Equation
111 equilibrium \[ \sum\vect{F}=0 \]
114 law of inertia. Newton’s first law of motion \[ \sum\vect{F}=0\Rightarrow\vect{a}=0 \]
116 law of inertia. Newton’s first law of motion \[ \frac{m_1}{m_2}=\frac{a_2}{a_1} \]
117 Newton’s second law of motion \[ \sum\vect{F}=m\vect{a} \]
117 Newton’s second law of motion, component form \[ \begin{align*} \sum F_x &=ma_x \\ \sum F_y &=ma_y \\ \sum F_z &=ma_z \end{align*} \]
117 Newton. SI unit of force \[ 1\,\mathrm{N}=1\,\frac{\mathrm{kg\cdot m}}{\mathrm{s}^2} \]
117 unit of force in the British engineering system \[ 1\,\mathrm{lb}=1\,\frac{\mathrm{slug}\cdot\mathrm{ft}}{\mathrm{s}^2} \]
119 force of gravity where $\vect{g}=$ acceleration due to gravity \[ \vect{F}_g=m\vect{g} \]
120 Newton’s third law of motion \[ \vect{F}_{12}=-\vect{F}_{21} \]
126 Acceleration of a crate on a frictionless incline. Note that the acceleration depends only on the angle of inclination and not on the mass of the crate. \[ a_x=g\sin{\theta} \]
131 static friction. It is equal and opposite the applied force while the object is not moving. \[ v=0\Rightarrow\vect{f}_s=-\vect{F} \]
132 static friction \[ f_s\le\mu_sn \]
132 maximum force of static friction \[ f_{s,max}=\mu_sn \]
132 kinetic friction \[ f_k=\mu_kn \]


Page Note
111 contact force
111 field forces. gravitational, electromagnetic, strong nuclear forces, weak nuclear forces
114 Newton's first law of motion (law of inertia). In the absence of external forces, an object at rest remains at rest and an object in motion continues in motion with a constant velocity (that is, with a constant speed in a straight line.)
117 Newton's second law of motion The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
120 Newton's third law of motion If two objects interact, the force exerted by object 1 on object 2 is equal in magnitude and opposite in direction to the force exerted by object 2 on object 1.
114 inertia
114 inertial frame of reference
121 normal force
123 tension
static friction
kinetic friction
coefficient of static friction
coefficient of kinetic friction