p**n
发帖数: 10 | 1
Initial condition:
V=V0i
r=0
dynamic vector equation
q(V*B)+kV=m(dV/dt)
Be noted V, B, r are vectors, k is friction coefficient.
solve it. | m*****s
发帖数: 4 | 2 1/2 * m * v0 * v0 - 1/2 * m * v(t) * v(t) = integerate[k *
v(r) * v(r), {r, 0, t}]
and
v[0] = v0
=> v[t] = v0 * exp[-k / m * t]
=> alfa[t] = v0 * (-k / m) * exp[-k / m * t]
Then,
x''[t] = - Fm * sin[theta] - Ff * cos[theta]
y''[y] = Fm *cos[theta] - Ff * sin[theta]
x'[0] = v0 , y'[0] = 0
x[0] = 0, y[0] = 0
theta = arctan[km/k]
Fm = f1[v'[t]]
Fs = f2[v'[t]] |
|
