Cylinder A has a mass of 11 kg and is attached to the end of a rod whose length is 0.5m
and whose mass may be neglected. The frame is subjected to a moment $M = -(2t^2 + 3)\hat{k}$
N-m, where time t is in seconds. The cylinder is subjected to a force of 68 Newtons, which
is always directed as shown in the figure below. Assume cylinder A to be a particle,
constrained to move in the x - y plane.
a. If the initial velocity of the cylinder is $v_0$ = 2.6 m/s towards the x-axis, determine
the initial angular momentum of the cylinder along the z direction.
N-m-s.
(1 mark)
b. What is the z-component of the moment about the origin due to the 68 Newton
force?
N-m.
(2 marks)
c. What is the total angular impulse due to all the moments over 2.8 seconds starting
from the initial condition?
N-m-s.
(3 marks)
d. Using the principle of angular impulse and momentum, determine the magnitude of
the final velocity of the cylinder.
m/s.
(4 marks)
x
Z
M
0.5 m
AQ
Vo
30°
y