View source for Kinetics of Particles

'''Part of the [[Topic:Dynamics|Dynamics]] course offered by the ''[[Topic:Applied Mechanics|Division of Applied Mechanics]]'', ''[[School:Engineering|School of Engineering]]'' and the ''[[Portal:Engineering and Technology|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===
 <math>\sum\vec F_{(x,y,z)} = m \vec a_{(x,y,z)}</math>
 <math>\sum\vec F_{(r,\theta,z)} = m \vec a_{(r,\theta,z)}</math>
 <math>\sum\vec F_{(R,\theta,\phi)} = m \vec a_{(R,\theta,\phi)}</math>

===Kinetic Energy Analysis (Energy of Motion)===
 <math>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) </math>

==Assignments==
'''Activities:'''
* Create an [[Kinetics of Particles/activity|activity]]

'''Readings:'''
* Peruse the appropriate sections of [[b:Mechanics]]

'''Study guide:''' 
# Wikipedia article:[[w:Newtons_laws|Newtons Laws]]
# Wikipedia article:[[w:Mechanical_work|Mechanical Work]]

[[Category:Dynamics]]
[[Category:Advanced Classical Mechanics]]
[[Category:Applied mechanics]]