SammyS's latest activity
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SammyS reacted to PeroK's post in the thread I The solution to the balancing ball paradox with
Like.
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Red circle: ##(x-\pi/2)^2+(y-999)^2=1000^2\ ## blue sine: ##y = \sin x\ ##...
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SammyS reacted to PeroK's post in the thread Limit of piecewise function using epsilon delta with Like.
That's not really how we are supposed to construct a proof here. Instead, for ##0<\epsilon <1##, we should let: $$\delta =...
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SammyS reacted to PeroK's post in the thread Limit of piecewise function using epsilon delta with
Agree.
In general, for a right hand limit at ##a## you are looking for:$$a < x <a +\delta$$And not $$0<|x-a|< \delta$$PS I see this was in the... -
If you study Cosmology or Quantum Mechanics, you will quickly find that your intuition is not just useless, it is actually...
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SammyS reacted to Orodruin's post in the thread Writing a vector parallel and normal to a unit vector ##\hat n## with Like.
I actually think ##\vec A - (\vec A \cdot \hat n)\hat n## is nicer than the double cross product. It also generalises to any dimension.
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SammyS reacted to kuruman's post in the thread Angular motion of a car wheel traveling at certain speed with Agree.
Either way you will get the same answer if you do it right. Using the average angular velocity as @jbriggs444 suggested is more...
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SammyS reacted to jbriggs444's post in the thread Angular motion of a car wheel traveling at certain speed with Agree.
Or, another approach, can you (@inuka00123) find the average angular speed over the interval?
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$$\frac{1-\delta}{[2(1-\delta)]^{\frac{3}{2}}} = \frac{1}{2^{\frac{3}{2}}} (1-\delta)^{-\frac{1}{2}} \approx \frac{1}{2^{\frac{3}{2}}}...