PROBLEM 17.94 (Continued)
Kinetic energy.
222
11 1
22 2
AB DCE AB
TI I mv
11
2
2
3.859375 0 1.95737 0.8( )
r
v
Velocity of the tube relative to the rod.
2
( ) 1.542 m/s
r
v
PROBLEM 17.95
The 6-lb steel cylinder A and the 10-lb wooden cart B are at rest in
the position shown when the cylinder is given a slight nudge,
causing it to roll without sliding along the top surface of the cart.
Neglecting friction between the cart and the ground, determine the
velocity of the cart as the cylinder passes through the lowest point
of the surface at C.
PROBLEM 17.96
At what height h above its center G should a billiard ball of radius r be
struck horizontally by a cue if the ball is to start rolling without sliding?
PROBLEM 17.97
A bullet weighing 0.08 lb is fired with a horizontal velocity of 1800 ft/s into the
lower end of a slender 15-lb bar of length 30 in.L Knowing that 12 in.h and
that the bar is initially at rest, determine (a) the angular velocity of the bar
immediately after the bullet becomes embedded, (b) the impulsive reaction at C,
assuming that the bullet becomes embedded in 0.001 s.
PROBLEM 17.97 (Continued)
(a) 6.7082 0.27546 or 24.353
24.4 rad/s
(1.5)(24.353) 36.53 ft/s
B
v
PROBLEM 17.98
In Problem 17.97, determine (a) the required distance h if the impulsive reaction
at C is to be zero, (b) the corresponding angular velocity of the bar immediately
after the bullet becomes embedded.
PROBLEM 17.97
A bullet weighing 0.08 lb is fired with a horizontal velocity of
1800 ft/s into the lower end of a slender 15-lb bar of length 30 in.L Knowing
that 12 in.h and that the bar is initially at rest, determine (a) the angular
velocity of the bar immediately after the bullet becomes embedded, (b) the
impulsive reaction at C, assuming that the bullet becomes embedded in 0.001 s.
PROBLEM 17.98 (Continued)
(a) 0.8333 fth 10.00 in.h
(2.5 0.8333) 1.6667
B
v
0
mv mv mv
PROBLEM 17.99
A 16-lb wooden panel is suspended from a pin support at A and is initially at
rest. A 4-lb metal sphere is released from rest at B and falls into a hemispherical
cup C attached to the panel at a point located on its top edge. Assuming that the
impact is perfectly plastic, determine the velocity of the mass center G of the
panel immediately after the impact.
PROBLEM 17.99 (Continued)
Moments about A:
779
4lb 7 4lb 7 7 16lb 9 9
32.2 12 32.2 12 12 32.2 12 12
0.50361 (0.042271 0.18
2
634 0.2795)
22
0.99115 rad/s 0.99115 rad/s
Velocity of the mass center
99
12 12
2
0.74336 ft/sv
2
8.92 in./sv
PROBLEM 17.100
An 16-lb wooden panel is suspended from a pin support at A and is initially at
rest. A 4-lb metal sphere is released from rest at B and falls into a hemispherical
cup C attached to the panel at the same level as the mass center G. Assuming
that the impact is perfectly plastic, determine the velocity of the mass center G
of the panel immediately after the impact.