Kinetics of Particles

Part of the Dynamics course offered by the Division of Applied Mechanics, School of Engineering and the Engineering and Technology Portal

Lecture

The application of particle kinematics to systems of forces is wholly dependent upon Newton's Second Law. Solutions to kinetics problems may be obtained by using Newton's Law directly, Work/Energy methods or through Impulse/Momentum calculations.

Newton's Equation of Motion

$\sum {\overrightarrow{F}}_{(x,y,z)}=m{\overrightarrow{a}}_{(x,y,z)}$
$\sum {\overrightarrow{F}}_{(r,\theta ,z)}=m{\overrightarrow{a}}_{(r,\theta ,z)}$
$\sum {\overrightarrow{F}}_{(R,\theta ,\varphi )}=m{\overrightarrow{a}}_{(R,\theta ,\varphi )}$

Kinetic Energy Analysis (Energy of Motion)

$E=\int \overrightarrow{F}*d\overrightarrow{r}=\int ({\overrightarrow{F}}_x*dx+{\overrightarrow{F}}_y*dy+{\overrightarrow{F}}_z*dz)=\int m\overrightarrow{a}*d\overrightarrow{r}=\frac{1}{2}m(v_2^2-v_1^2)$

Assignments

Activities:

• Create an activity

Readings:

• Peruse the appropriate sections of b:Mechanics

Study guide:

1. Wikipedia article:Newtons Laws
2. Wikipedia article:Mechanical Work