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The time rate of change of the position of an object

36 votes
14 answers
134k views

Why does the (relativistic) mass of an object increase when its speed approaches that of light?

However, the equation breaks down when the electron velocity approaches the speed of light as mass increases. …
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15 votes
2 answers
4k views

Why does cancellation of dots $\frac{\partial \dot{\mathbf{r}}_i}{\partial \dot{q}_j} = \fra...

$$\frac{\partial \mathbf{v}_i}{\partial \dot{q}_j} = \frac{\partial \mathbf{r}_i}{\partial q_j}$$ where $\mathbf{v}_i$ is velocity, $\mathbf{r}_i$ is the displacement, and $q_j$ is the generalized coordinate …
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