Midterm #2 preparation guide
A. Download midterm #2 formula sheet.
B. Set up problems for HW and guiz problems with the formula sheet without going through detailed calculations.
Focus on diagrams (FBD, Kinetic Diagram) and basic equations with unknown an

86 The central attractive force F on an earth satel-
lite can have no moment about the center 0 of the
earth. For the particular elliptical orbit with major
and minor axes as shown, a satellite will have a
velocity of 33 880 km/h at the perigee altitude o

The 2-kg collar is released from rest at A and
slides down the inclined ﬁxed rod in the vertical
plane. The coefﬁcient of kinetic friction is 0.40.
Calculate (a) the velocity v of the collar as it
strikes the spring and (b) the maximum deﬂection
x of the

The baseball is traveling with a horizontal veloc-
ity of 85 mi/hrjust before impact with the bat. Just
after the impact, the velocity of the 5513-02 ball is
130 mi/hr directed at 35° to the horizontal as shown.
Determine the x- and y-components of the av

The 0.8-kg collar slides freely on the ﬁxed circular
rod. Calculate the velocity v of the collar as it hits
the stop at B if it is elevated from rest at A by the
action of the constant 40-N force in the cord. The
cord is guided by the small ﬁxed pulleys.

ME203O Homework #3, due 2/5/2016 (at the beginning of class), Katsube
Problem 1.
Determine the tension P in the cable which will give
the 100-1b block a steady acceleration of 5 ﬁz/sec2 up
the incline.
Ans. P=43.8 lb
Problem 2.
The spring-mounted 0.8-kg

ME2030 Homework #2, due 1/29/2016 (at the beginning of class), Katsube
Problem 1.
Instruments located at O are part of the ground-
traffic control system for a major airport. At a cer-
tain instant during the takeoﬂ' roll of the aircraft
P, the sensors in

ME2030 H m/ 5% 1 4w %2ﬂ0i6 Karla/[é
&
.1 OMOYOCW
M» )r ?wvvd”w6ﬂ W mm ban may me)
SQ “- x
<- V— H MYUMN <35/M'Jé
y wears rf—EQ V124”? (WI.
36I>v~=v§é¥+ FﬁtzHQ'f' mm a?" dish/M 37/
WW End 44w eh‘sJFance 3 ‘Prvm W m
B? “U 4% Pom-r W 4%; 1491‘s Magma/1d.

ME2030 Homework #8, due 3f25f2016 (at the beginning of class), Katsube
Problem 1.
The disk rotates about a ﬁxed axis through point
0 with a clockwise angular velocity coo = 20 rad/s
and a counterclockwise angular acceleration (10 m
5 rad/s2 at the instant

ME2030 Homework #6, due 3l4r'2016 (at the beginning of class), Katsube
Problem 1.
The two pulleys are riveted together to form a
single rigid unit, and each of the two cables is se-
curely wrapped around its respective pulley. proint
A on the hoisting cab

ME2030 Homework #7, due 3f11f2016 (at the beginning of class), Katsube
Problem 1.
Calculate the angular acceleration of the plate in
the position shown, where control linkAO has a con-
stant angular velocity 00, = 4 rad/see and 0 = 60°
for both links.
A

ME2030 Homework #5, due 2e’26r’2016 (at the beginning of class), Katsube
Problem 1.
The T-shaped body rotates about a horizontal axis / a
through point 0. At the instant represented, its ‘
angular velocity is a) = 5 rad/sec and its angular
acceleration is

ME2030 Homework #9, due 4f1/2016 (at the beginning of class), Katsube
Problem 1.
7 The body consists of a uniform slender bar and
a uniform disk, each of mass m/2. It rests on a
smooth surface. Determine the angular accelera-
tion a and the acceleration o

ME2030 Homework #4, due 2/12/2016 (at the beginning of class), Katsube
Problem 1.
The system is initially moving with the cable taut,
the 10-kg block moving down the rough incline
with a speed of 0.3 mls, and the spring stretched
25 mm. By the method of t

A small coin is placed on the horizontal surface of
the rotating disk. If the disk starts from rest and is
given a constant angular acceleration 5 = a, deter-
mine an expression for the number of revolutions N
through which the disk turns before the coin

If the 180-lb ski-jumper attains a speed of 80 ftlsec
as he approaches the takeoff position, calculate the
magnitude N of the normal force exerted by the
snow on his skis just before he reaches A. If the 180-lb ski-jumper attains a speed of 80 ﬁ/sec W 3 I

The low-ﬂying aircraft P is traveling at a constant
speed of 360 km/h in the holding circle of radius
3 km. For the instant shown, determine the quan-
tities I; r", i‘, 0, 9, and 5 relative to the ﬁxed x-y
coordinate system, which has its origin on a moun

I The spoked wheel of radius r is made to roll up the
incline by the cord wrapped securely around a shal—
low groove on its outer rim. For a given cord speed 0
at point P, determine the velocities of points A and B.
No slipping occurs. f?
‘V‘ 1",
A
A)(Y P

5/5?
A four-bar linkage is shown in the ﬁgure (the
ground “link” 00 is considered the fourth bar). If
the drive link 0A has a counterclockwise angular
velocity (00 = 10 rad/s, determine the angular ve-
locities of linksAB and BC. A four-bar linkage is sho

49 The barAB ﬁ‘om Prob. 5/74 is repeated here. If the
velocity of pointA is 3 m/s to the right and is con-
stant for an interval including the position shown,
determine the tangential acceleration of point B
along its path and the angular acceleration of

The system of Prob. 5/100 is repeated here. Crank
0A rotates with a constant counterclockwise
angular velocity of 9 rad/s. Determine the angular
acceleration am of link AB for the position shown. Farm ;'/W LUA5«4[‘/5_7 %C
"'3 -—§‘ 9 ' I ’7"
“'4 :%+{4#/0

The four-bar linkage of Prob. 5/86 is repeated here.
If the angular velocity and angular acceleration of
drive link 0A are 10 rad/5 and 5 rad/52, respec-
tively, both counterclockwise, determine the angu-
lar accelerations of bars AB and BC for the instan

Aircraft B has a constant speed of 540 km/h at
the bottom of a circular loop of 400-m radius.
Aircraft A ﬂying horizontally in the plane of the
loop passes 100 m directly under B at a constant
speed of 360 km/h. With coordinate axes at-
tached to B as sho

Bar 00 rotates with a clockwise angular veloc-
ity woe = 2 rad/s. The pin A attached to bar 00
engages the straight slot of the sector. Determine
the angular velocity (9 of the sector and the veloc-
ity of pin A relative to the sector for the instant
repr

6/67 The uniform 72-11; mast weighs 6001b and is hinged
at its lower end to a ﬁxed support at 0. If the winch
C develops a starting torque of 900 lb-R, calculate
the total force supported by the pin at 0 as the mast
begins to liﬁ of? its support at B. Als

Determine the angular acceleration and the force
on the hearing at O for (a) the narrow ring of mass
m and (b) the ﬂat circular disk of mass m immedi-
ately after each is released from rest in the vertical
plane with 00 horizontal.
(a) (b)

The 1650-kg car has its mass center at G. Calculate
the normal forces NA and NB between the road and
the front and rear pairs of wheels under conditions
of maximum acceleration. The mass of the wheels is
small compared with the total mass of the car. The

The system is released from rest with the cable
taut, and the homogeneous cylinder does not slip on
the rough incline. Determine the angular accelera-
tion of the cylinder and the minimum coefﬁcient pt,
of friction for which the cylinder will not Slip.
«9