- #1
yoshi95
- 2
- 0
hi all,
i think this should be simple but i just can't figuring it out
i basically want to move a particle at rest from point A to point B by applying a force, F(t).
the particle should be at point B when t = T
knowing at that F = m * a(t), i m assuming m = 1, which means F(t) = a(t)
i don't want the particle to swing around point B, meaning i want it to settle to rest at point B very quickly, this means velocity at point B should be 0, v(T) = 0
so assuming d=distance, v=velocity, a=acceleration, i created the following condition below for my question:
d(0) = 0
v(0) = V0
a(0) = A0
d(T) = B
v(T) = 0
a(T) = 0
i m thinking that many a(t) will satisfy the above boundary conditions, like a linear a(t) in the form of
a(t) = c * t + A0
then i got stuck...
any help would be great...
thanks in advance
i think this should be simple but i just can't figuring it out
i basically want to move a particle at rest from point A to point B by applying a force, F(t).
the particle should be at point B when t = T
knowing at that F = m * a(t), i m assuming m = 1, which means F(t) = a(t)
i don't want the particle to swing around point B, meaning i want it to settle to rest at point B very quickly, this means velocity at point B should be 0, v(T) = 0
so assuming d=distance, v=velocity, a=acceleration, i created the following condition below for my question:
d(0) = 0
v(0) = V0
a(0) = A0
d(T) = B
v(T) = 0
a(T) = 0
i m thinking that many a(t) will satisfy the above boundary conditions, like a linear a(t) in the form of
a(t) = c * t + A0
then i got stuck...
any help would be great...
thanks in advance