MEE 321 THEORY OF MACHINES
Homework 2
Find the ratio of
Name:
in the configurations shown and then estimate the plot over 1 full rotation of
body A by drawing the curve on the graph on the next page. (The cam is shown at 45o increments of
rotation)
= 90

MEE 321 THEORY OF MACHINES
Homework 19 Key
Problem 1:
Set up the complete position analysis (that is, show all step in the general process for modeling
mechanisms with vectors) of the heavy machinery. Be sure that your process can determine
all angles and

MEE 321 THEORY OF MACHINES
HW3
Homework 3 Key
Problem #1
Find the pitch diameter and the circular pitch of a 72-tooth gear, which has a diametral pitch of
32 T/in.
Given:
Find:
N = 72 T, Pd = 32 T/in
dp,
Solutions:
T = teeth
is the pitch diameter.
Circula

MEE 321 THEORY OF MACHINES
Homework 6
Name:
Problem 1
Figure 1 shows part of a gear train for a vertical milling machine. Compound gears 2 and 3 can slide so
that either gear 3 meshes with gear 4 or gear 2 meshes with gear 6. In the same manner, gear 14
m

MEE 321 THEORY OF MACHINES
Homework 6 Key
Problem 1
Figure 1 shows part of a gear train for a vertical milling machine. Compound gears 2 and 3 can slide
so that either gear 3meshes with gear 4 or gear 2 meshes with gear 6. In the same manner, gear 14
mesh

MEE 321 THEORY OF MACHINES
Homework 5 Key
Problem 1: A 24-tooth pinion mates with a 45-tooth gear. The gears are full depth, have diametral
pitch of 12 teeth/in, and are cut with a 20 pressure angle. Find the contact ratio.
1
24
=
= 1
2 2(12)
2
45
2 =
=

MEE 321 THEORY OF MACHINES
Homework 4
Problem 1: Rigid body B rotates at a constant angular velocity counterclockwise causing rigid
body A to rotate. Contact between the two bodies is maintained. Draw all lines necessary to
justify your answer and then ci

MEE 321 THEORY OF MACHINES
Homework 6
Problem 1: For = 22, = 1 (full depth, involute teeth), what is the largest gear a 13 tooth
pinion could mate with?
Solution:
=
2 sin2 4 2
132 sin2 22 4
=
56.1 56
4 2 sin2
4 2(13) sin2 22
Problem 2: Will a = 16, =

MEE 321 THEORY OF MACHINES
HW 20
Homework 20 Key
Problem 1:
Find the velocity of the tip at
the following instant:
2
1 = 130,
8
2 = 170,
1 = 21 rad/s CCW,
6
2 = 4 rad/s CW.
1
Also, what are the current
speed and direction of the tip?
(-5,-3)
Solutions:
=

MEE 321 THEORY OF MACHINES
Homework 3
in the configurations shown and then estimate the plot over 1 full
rotation of body A by drawing the curve on the graph on the next page. Note the line inscribed on body
A that is used to measure its current orientat

MEE 321 Theory of Machines
HW18
Homework 18 Key
Use the figure below to find all physical parameters. Work in millimeters, where rounding to the
nearest millimeter is acceptable. Observe that the smaller disk has a circular protrusion that fits snugly
int

Problem 1:
(2)
(1)
handle
handles
tip of bucket
(4)
(3)
clamp head (the
rubber coating does
(6)
not provide
compliance, so it is
handle
part of the rigid
body)
(5)
(7)
(8)
mount with bed
Problem 2:
mount with
car hood

MEE 321 Theory of Machines
Homework 2
Problem 1: Given the velocities shown at the two points, verify they are consistent by finding
the component along the line through the two points and measuring to show they are the same
length.
l
l
1
MEE 321 Theory o

% MEE 308 - Homework 4 Solution
% Publish the m-file in MatLab to see the solution typeset.
% Question 1 - Viscous Stresses in a Flow
%
% * EOS - fluid 1: $\mu_1=0.1$ and fluid 2: $\mu_2=0.15\ Pa\cdot s$
% * viscous shear stress: $\tau_cfw_yx = \mu \fracc

MEE 321 THEORY OF MACHINES
Homework 16
Problem 1
Answer the following questions. Answers that are a couple of sentences in length are
sufficient.
a. What are the general types of motion control discussed?
Answer: Open and closed kinematic chains
b. What a

The worm gear shown in the figure to the right is right-handed. 1.)
Properly draw the threads on the gear. 2.) Given the rotation of the
worm gear shown, draw an arrow on the other gear to indicate
whether it is rotating clockwise or counter-clockwise.
co

MEE 321 THEORY OF MACHINES
HW 25
Homework 23
Problem1. A vector diagram of a 3-RRR platform is shown to the right.
A
11
The position analysis of the device yields,
0 = cfw_11.3 , 1 = cfw_56.2 , 2 = cfw_45.4
21.2
25.7
3.8
3 = 54 , 4 = 43 , 5 = 46 ,
6 = 72

MEE 321 Theory of Machines
Homework 7 Key
Problem 1
Figure 1 shows a mechanism that is used to shear thin-gauge sheet metal. If a 250-N force is applied as
shown, solve for the force on the sheet metal. The weights of the links are negligible. Use the pro

MEE 321 THEORY OF MACHINES
HW1
Homework 1 Key
1. Given the two velocities shown, (a) locate the instant center. (b) Verify the two velocities are
consistent by measuring and calculating the corresponding ratios.
(The measured length may be different accor

MEE 321 THEORY OF MACHINES
Homework 2 Key
Find the ratio of
in the configurations shown and then estimate the plot over 1 full rotation of
body A by drawing the curve on the graph on the next page. Note the line inscribed on body A that is
used to measur

MEE 321 THEORY OF MACHINES
Homework 3 Key
Problem #1
Find the diametral pitch and the circular pitch of a 96-tooth gear which has a pitch diameter of
3.00 in.
Pitch diameter, =
Circular pitch, =
=
=
96
3
32 /
= 32 /
= 0.0982 /
Problem #2
The pitch diame

MEE 321 THEORY OF MACHINES
Homework 4 Key
Problem 1
Find all possible 12-pitch, 20pressure angle simple gear trains with a reduction of 7:4. The input
and output gears should rotate in the opposite direction. The gear train should not include any
idlers.

MEE 321 THEORY OF MACHINES
Problem 1:
B 72
Determine the number of
teeth on sprocket D if the
cable speed needs to be as
close as possible to 2.5 ft/s.
Identify which arrow indicates
the rotation of worm gear A.
Chain
C 35
46 in
Cable
LH Double
250 RPM
2.

MEE 321 Theory of Machines
HW 11 Keys
Problem 1:
Use Kutzbach's Modification of Gruebler's Equation (KMoGE) to calculate the degrees-offreedom of the following. Show your values for L, J1 and J2 in your calculation.
(a) L = 6
J1 = 7
J2 = 0
M=1
(b) L = 10

MEE 321 THEORY OF MAACHINES
Homework10
Problem 1:
MEE 321 THEORY OF MAACHINES
MEE 321 THEORY OF MAACHINES
Problem 2:
MEE 321 THEORY OF MAACHINES
Problem 3:
Volvo
Bobca
t