A bead travels on a wire in the shape of a spiral curve with parametric equations
x = sin(sqrt(u)) - sqrt(u)cos(sqrt(u))
y = cos(sqrt(u)) + sqrt(u)sin(sqrt(u))
z = -u
and the range of u is [0, 2pi]

u = 0 at the top of the spiral, and at this point t = 0. The bead starts from rest.

Assuming no friction, what is the acceleration a(t) of the bead as a function of time?

Question

A bead travels on a wire in the shape of a spiral curve with parametric equations
x = sin(sqrt(u)) - sqrt(u)cos(sqrt(u))
y = cos(sqrt(u)) + sqrt(u)sin(sqrt(u))
z = -u
and the range of u is [0, 2pi]

u = 0 at the top of the spiral, and at this point t = 0. The bead starts from rest.

Assuming no friction, what is the acceleration a(t) of the bead as a function of time?

anonymous · Answer

*

anonymous · Answer

Find <x'',y'',z''> for the acceleration vector.

anonymous · Answer

@oldrin.bataku 
no time dependency given.

anonymous · Answer

nm

anonymous · Answer

It's also given that u is a function t, and finding this function u is key to solving

anonymous · Answer

yep, find V/|V|

anonymous · Answer

if I could draw a helix... I'd illustrate this for you..

anonymous · Answer

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