Finding uniform transmission condition

1. Nov 4, 2015

vin300

We have never discussed about constant mechanical power transfer for the linear case, as against rotational well documented gear transmission. The energy acquired by linear motion, if varies linearly, then 0.5mv^2 must have constant differential. Trying it, if u=0, v=at.
d/dt[0.5m(at)^2]=constant. m(a^2)t=const.Hence concluding, a is inversely proportional to root of time, and the force to be applied is proportional to {sqrrt.(m/t)}. Does this look fine?

2. Nov 4, 2015

BvU

Who is "we"?

"The energy acquired by linear motion, if varies linearly, then 0.5mv^2 must have constant differential "
My interpretation: if you apply a constant power for linear acceleration, then the kinetic energy increases linearly with time.

v = at doesn't fly, though: that's only for constant acceleration. Here if ${1\over 2} mv^2 = B\, t$ with $B$ constant.
However, $a$ is still $\propto \sqrt{1/t}$, but not $\propto \sqrt{m}$.

Do check my claims, please !

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