1) Solve problem 2, HW 4c, and problem 2, HW 5. Eqns. of motion are similar to given by Newton's laws.
2) Determine DOF and use Lagrange's Equation to derive the equations of motion of the following
systems. Hint: b) $P_G = (x + \frac{1}{2}lC_\theta) \rightarrow + (\frac{1}{2}lS_\theta) \uparrow$, d) $v_1 = \frac{1}{2}v_2$.
k2
Io
r
2r
F
m
x(t)
k1
c
(a)
m, l
G
x
θ
kt
ct
A
M
F
(b)
u2
u1
$I = \frac{1}{2}mr^2$
u3
2k
k
2m
2k
2m
m
F
(c)
y
F
m1
c
m2
k
θ
(d)
