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2
votes
Accepted
Proof of a formula relating launch velocity of projectile to times of ascent and descent
The height $h(t)$ of the body as a function of time is $$h(t)=-\frac{1}{2}gt^2+vt$$ with $v$ the initial speed. At $t_1$ and $t_2$, the body will be at the same height. It means that $$h(t_1)=h(t_2)$$ …
1
vote
1
answer
237
views
Solid of revolution rolling on an arbitrary incline
I'm studying the mechanics of a rigid solid of revolution on an incline. This is somewhat a variation of the double-cone "paradox", just slightly more general (hence, complicated).
Geometry
Here is …
5
votes
1
answer
246
views
Deflating wheel rolling without slipping
For a wheel of radius $R$ on an horizontal plane, the "rolling without slipping condition" is given by $$\Delta s =\Delta l$$ with $\Delta l$ being the distance travelled on the plane. $\Delta l$, bec …