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0593_C11_fm Page 405 Monday, May 6, 2002 2:59 PM

Generalized Dynamics: Kinematics and Kinetics 405

n θ

n θ
y n
= 0.5 m r
n
x
FIGURE P11.5.1 F P(2 kg)
A simple pendulum subjected to a
horizontal force. | F | = 5N

P11.5.2: Repeat Problem P11.5.1 for a force F given as follows:

a. F = 4n N
y
b. F = 3n + 4n N
x y
c. F = 5n N
r
d. F = 5n N
θ
P11.5.3: A double-rod pendulum consists of two identical pin-connected rods each having
mass m and length as depicted in Figure P11.5.3. Let there be a particle P with mass M
at the end of the lower rod. Assuming the pin connections are frictionless, find the
generalized active forces for the orientation angles θ and θ shown in Figure P11.5.3.
1 2

θ
1
β
1

θ
2
β
2
P(M) P(M)

FIGURE P11.5.3 FIGURE P11.5.4
A double-rod pendulum with a concentrated A double-rod pendulum with a concentrated end
end mass. mass and relative orientation angles.

P11.5.4: Repeat Problem P11.5.3 for the “relative” orientation angles β and β shown in
2
1
Figure P11.5.4.
P11.5.5: See Problem P11.5.3. A triple-rod pendulum consists of three pin-connected rods
each having mass m and length as depicted in Figure P11.5.5. Let there be a particle P
with mass M at the end of the lower rod. Assuming the pin connections are frictionless,
find the generalized active forces for the orientation angles θ , θ , and θ shown in Figure
3
1
2
P11.5.3.