# Kinetics of Particles: Wikis

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# Study guide

Up to date as of January 14, 2010

### From Wikiversity

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

$\sum\vec F_{(x,y,z)} = m \vec a_{(x,y,z)}$
$\sum\vec F_{(r,\theta,z)} = m \vec a_{(r,\theta,z)}$
$\sum\vec F_{(R,\theta,\phi)} = m \vec a_{(R,\theta,\phi)}$


### Kinetic Energy Analysis (Energy of Motion)

$E=\int\vec F * d \vec r = \int(\vec F_x * dx + \vec F_y * dy + \vec F_z * dz) = \int m \vec a * d \vec r = \frac{1}{2} m (v_2^2-v_1^2)$


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