/sci/ - Science & Math

>>11359198
>>11359118
I dont get it

>>11338597
>>11333761
>For a print issue of Science, please visit the Single Issue Online Store
https://www.sciencemag.org/members/order-article-or-issue
>>11338888
With a numerical method like Newton's. Use Desmos.
>>11338936
x=24

>>11226558
(sorry for late reply)
Let the y axis be vertically downward, and the x axis be horizontal and to the right. let the points A, B, C, and D represent the roller to the lower left, roller at upper left, pin at upper right, and pin at lower right, respectively.
The velocity at B is hence given by [eqn] \mathbf{v_B}=v_A\mathbf{\hat{i}}+v_H\mathbf{\hat{j}}=\omega_{BD}\mathbf{\hat{k}}\times\mathbf{r}_{DB}=\frac{\omega_{DB} L\sqrt{3}}{2}\mathbf{\hat{i}}+\frac{\omega_{DB} L}{2}\mathbf{\hat{j}} [/eqn]
Set like components equal to each other and divide out common factors and you get
[eqn] v_a=\sqrt{3}\ v_H [/eqn]

>>11229180
tail rotors are easy to construct

>>11226558
(sorry for late reply)
Let the y axis be vertically downward, and the x axis be horizontal and to the right. let the points A, B, C, and D represent the roller to the lower left, roller at upper left, pin at upper right, and pin at lower right, respectively.
The velocity at B is hence given by [eqn] \mathbf{v_B}=v_A\mathbf{\hat{i}}+v_H\mathbf{\hat{j}}=\omega_{BD}\mathbf{\hat{k}}\times\mathbf{r}_{DB}=\frac{\omega_{DB} L\sqrt{3}}{2}\mathbf{\hat{i}}+\frac{\omega_{DB} L}{2}\mathbf{\hat{j}} [/eqn]
Set like components equal to each other and divide out common factors and you get
[eqn] v_a=\sqrt{3}\ v_H [/eqn]