"भौतिकी के सूत्र" (अनुभाग) सम्पादित करें

== आधारभूत यांत्रिकी (Fundamentals of Mechanics) ==
Foundational equations in translation and rotation.
{| class="wikitable"
|-
! Quantity
! Translation
! Rotation
|-                                
|समय
|<math>t</math>
|<math>t</math>
|-                                
|स्थिति
|<math>x   </math>
|<math>\theta </math> in [[radians]]
|-                                
|द्रव्यमान
|<math>m</math>
|<math>m</math>
|-                                
|समयान्तर
|<math>\Delta t</math>
|<math>\Delta t</math>
|-                                
|विस्थापन
|<math>\Delta x</math>
|<math>\Delta \theta</math>
|-                                
|द्रव्यमान संरक्षण
|<math>\Delta m = 0 </math>
|<math>\Delta m = 0 </math>
|-                                
|ऊर्जा संरक्षण
|<math>\Delta E = 0 </math>
|<math>\Delta E = 0 </math>
|-                                
|संवेग संरक्षण
|<math>\Delta P = 0 </math>
|<math>\Delta L = 0 </math>
|-                                
|वेग
|<math>   v =   dx/dt </math>
|<math>\omega = d\theta/dt </math>
|-                                
|त्वरण
|<math>   a =   dv/dt </math>
|<math>\alpha = d\omega/dt </math>
|-                                
|झटका
|<math>j =   da/dt </math>
|<math>j = d\alpha/dt </math>
|-                                
|स्थितिज ऊर्जा परिवर्तन
|<math>\Delta U = -W</math>
|<math>\Delta U = -W</math>
|-                                
|संवेग
|<math>P = mv   </math>
|<math>L = I\omega </math> <math> =|| \mathbf{r} \times \mathbf{P}|| = m|| \mathbf{r} \times \mathbf{v}||</math>
|-                                
|बल
|<math>f  = dP/dt = ma = -dU/dx  </math>
|<math>\tau = dL/dt = I\alpha    </math> <math> =|| \mathbf{r} \times \mathbf{f}||=m|| \mathbf{r} \times \mathbf{a}||</math>
|-
|जड़त्व आघूर्ण
|<math>m = \int   dm = \Sigma  m_i</math>
|<math>I = \int r^2 dm = \Sigma r^2m_i</math>
|-                                style="color:black"
|आवेग
|<math>J=\int f  dt</math>
|<math>J=\int \tau dt</math>
|-                                style="color:red"
|कार्य
|<math>W = \int f  dx    = \mathbf{d} \cdot \mathbf{f}</math>
|<math>W = \int \tau d\theta               </math>
|-                                
|शक्ति
|<math> P = dW/dt = fv    </math>
|<math> P = dW/dt = \tau\omega</math>
|-
|गतिज ऊर्जा
|<math>K =   mv^2/2 = P^2/2m </math>
|<math>K = I \ w^2 / 2 = \Sigma  R^2m</math>
|-
|न्यूटन का तीसरा नियम
|<math>  f_{ab} = -  f_{ba} </math>
|<math>\tau_{ab} = -\tau_{ba} </math>
|-
|}

Every [[conservative force]] has a [[potential energy]]. By following two principles one can consistently assign a non-relative value to U:
* Wherever the force is zero, its potential energy is defined to be zero as well.
* Whenever the force does work, potential energy is lost.