The 2—kg slender bar is supported by cord BC and then
I released from rest at A. Determine the initial angular
acceleration of the bar and the tension in the cord.
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19—622 The L-shaped bar has mass of 8 kg/m.
in conﬁguration A, the system is on a horizontal frictionless surface or out in space‘ The two forces are
applied for a very short time. Fx: 1000 N and Fy= 1000 N.
0 Determine the CG of the system, the IG of the
Determine the backspin m which should be given to the y I
ZU-lb ball so that when its center is given an initial " "
horizontal velocity '00 = 20 ft/s it stops spinning and
translating at the same instant. The coefﬁcient of kinetic
friction is ,u,
The sphere of
weight 25 lb and radius of 1
ft rolls down the hill
without slipping starting
-Using energy, determine
the speed at the bottom of
determine the time that it takes to reach the bottom
9 ‘ t
O The box of the wagon has mass of loo-kg. Each of the four wheels has mass of 25-kg.
The radius of each wheel is r=.25 m. The
system starts from rest and then the force P=50N
pushes for 10 sec. Find the speed using ——> o a
each of the 3 techniq
13-C10 Each of the go’cart's front wheels
weighs 5-lb and has a moment of inertia of
0.01 slug-ftZ. The two rear wheels and rear axle
form a single rigid body weighing 40 lb and
have a moment of inertia of 0.1 slug-ft}. The
total weight of the go-cart and
17—640 The lawn roller has a mass of 80 kg and a radius of
gyration of kG=0.175 m. It is being pushed and accelerated by
the force P. The coefﬁcients of static and kinetic friction
between the grass and the roller are 115:0.12 and uk=0.10.
0 Determine the
17-621 The spool has a mass of loo-kg and radius of gyration
k0: 0.250 m. P=500 N.
A o The coefﬁcient of friction 11:035. Determine Ff, ax, a
B o The coefﬁcient of friction p=0.25. Determine Ff, ax, a
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17-C22 The assembly consists of a 3-kg sphere and a 4-kg
slender rod. The string is cut and it starts to move.
Immediately after the string is cut.
Find IO using parallel axis
Find by MO = IO
Find the mass center using techniques from Statics
Sketch the a
17-622 The spool has mass of ZS-Rg and radius of gyration of
ko=0.175 m. The force P = 100M-
@ 0 Determine the minimum p to prevent slip. Also ﬁnd Ff, a,
and a at this point.
0 If p=0.20, determine Ff, a, and a.
Q PMs) =(mlc? Mpg 3;
"l 1) al- : M[g“-
A cord C is wrapped around each of the two 10—kg disks. If
they are released from rest, determine the tension in the ﬁxed
cord D. Neglect the mass of the cord.
Also, if released from rest, use energy techniques to determine the speed of B, 038,
17-A20 The car has a mass of 1500-kg.
(‘1 Assume that it has enough power to spin
' the tires. The coefﬁcient of friction
between the tires and the road is u=0.7.
What is the max acceleration if the
car has front wheel drive? What are
the normal forces at
17-A12 The wagon and load have a mass of BOO-kg.
No friction at A or B. The wheels are small and have no
If P: 2000 N, what are the acceleration and normal
forces at A and B?
Determine the maximum force P that can be applied 0'5 m
such that all of
14-xx This is a 5 point homework problem. /, m
This illustration shows an airplane doing a loop at a \
fairly low speed. My son is a pilot in the Air Force and \
does these loops at 500 mph in a jet. For this problem p "\
use the English system of units i
‘1 323 ML“?
w 16-014 At the instant shown, determine
vain“, and (use using all three methods:
tive equation, IC method, and absolute.
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gran/.5513. 53.; (5525044.ng
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O 15-A30 The cart weighs SO-Ib. The rollers
are frictionless. The suitcase weighs 30-lb
and is thrown horizontally onto the car at 10
ft/s. The coefﬁcient of friction u=0.4.
- Using conv of momentum: Determine
the ﬁnal speed of the system.
m From 15-34 in your book, plot the value of velocity vs time from t=0 to t=10. What is the value
of v at 5? What is the minimum velocity and at what time does it occur?
Use a graphing program such as this one for the iPhone/iPad. This one has ni
. The 1-kg ball is dropped from rest at point A. 2 m above the
smooth plane. If the coefficient of restitution between the
ball and the plane is e = 0.6. determine the distance d
where the ball again strikes the plane.
Putt/c3 -—? l/ZP = V”
a Two men A and B, each having a weight of 160 lb, stand on
the ZOO-lb cart. Each runs with a speed of 3 [1/5 measured
relative to the cart. Determine the ﬁnal speed of the cart if
(a) A runs and jumps off, then B runs and jumps off the
11+ - C [D
14-gg The double pulley consists of two parts that are attached to
one another. The pulley has negligible mass.
The system is released from rest. Using energy methods, determine the
speed of A after it has traveled 1 foot.
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W i% “D ii
If 9 = 0.5t and f: 0.5 + 0.56, find r, f, 'r', B, 9, 9,
evaluated at t=2 sec.
If the mass B is .Zkg, draw the F80 and find the
magnitudes of all of the forces involved at t=2
sec. What is the coefficient of friction?
t = 2566 (a)
a. 3 , [D- t
The conical surface rotates and the little mass
rides on the wail of the inside of the cone. if the _ . wwwm
coefficient of static friction between the conical surface -._ _ '
and the biock of mass is 51: 0.4, what is the range of \ i f.
\ 2 . -
12—622 The quarterback can throw the ball
0 at 60 W5 relative to himself. He is rolling right at
' 15 W5 and is at the position shown when he
releases the ball. The tight end is down ﬁeld at /
the position shown when the QB releases the
ball and he is run
WM»: Hockey player A carries the puck on his stick and
moves in the direction shown with a speed VA = 4 m/s. In
passing the puck to his stationary teammate B, by what
angle a should the direction of his shot trail the line of
sight if he launche
12-E16 The jet plane ﬂying at a constant speed v at an
O altitude h=10,000 m is being tracked by radar located at O U
directly below the line of ﬂight. If the angle 6 is decreasing _ _ - _ _ _ _ / H,—
at the rate of 0.020 rad/s when 6:60‘, determine the
W This car is driving up the hill
shown. At a point where x = 1000 m,
his velocity in the x direction = 25
m/s and acceleration in the x
direction = -2 m/sz.
At this point, what does his
speedometer read in km/hr?
Ans: 104 km/hr
Find the y comp
12-C14 Print the following picture. Yourjob is to investigate whether he makes the basket or not.
Assume that the picture is to scale. The only dimension you know is that the basket is 10 ft high.
Everything else must be scaled (use a ruler and a protract
12-A16 A vehicle undergoes a velocity as shown in the v—t graph. If the acceleration was
constant, the velocity would be a straight line. So you can tell from the graph that the
acceleration decreases as the vehicle moves fonNard. The acceleration is a =
Engr 220 Exam 2 100 pts 19 Mar 2014
(1) The ZDOD-Ib airplane initiates a circular loop at A.
o 10 pts Determine the minimum speed at the top of B
the loop at B to keep the airplane from "falling out of l
the sky"? L h/ - 4
V 1000 ft “4'
m0 14” qr
I W g
Engr 220 Exam 1 100 points 19 Feb 2014
WORK 5 OUT OF THE FOLLOWING 6 PROBLEMS, EACH WORTH 20 PTS EACH. X OUT THE ONE THAT
YOU DO NOT WANT ME TO GRADE.
The ball is thrown from the height shown at 11.5 m/s at a 30° angle.
- Determine whether he makes the ba