Homework:
Week 1 homework, due Friday Jan
16th:
Textbook problems (refers
to the 4th edition, check the 5th) 1.20, 2.82,
2.120, 2.134, 2.142
Show that the following identities for the
scalar triple product are true using any method you wish
AxB.C = A.BxC
AxB.C = CxA.B
Which operation (. or x) is carried out first
when evaluating the scalar triple product and why don't we need parentheses to
denote which operation to perform first?
Week 2 homework, due Friday Jan
23th:
Week 3 homework, due Friday Jan
30rd:
Textbook problems 5.26, 5.52, 5.82, 7.54
Determine the resultant force, resultant
moment about the origin, and the effective point of application X of the
resultant force for the distributed load given by q(x) = cnxn for 0<x<L.
What are the dimensions of the constant
Use the general result that you have derived
in the problem above to find the resultant force, moment about the origin, and
effective point of application of the distribution q(x) = (10 + 4x3
- 3x6) N/m, 0 < x < 2m.
Hint: Find the resultant and
point of application of each part of q(x) and then find the resultant and point
of application of those forces. Note that the final point of application need
not be on the beam.
Week 4 homework, due Friday Feb
6th:
Textbook problems 6.14, 6.20, 6.50, 9.12,
9.22 (9.109 in Ed.5 Neglect friction between pulley
and shaft!), 9.60
Week 5 homework, due Friday Feb
13th (this
material will NOT
be in the Test 1)
Textbook
problems 13.44, 13.66, 13.70
Textbook problems 13.60, 13.132, 13.136,
13.144, 13.158, 13.194 (13.182 in Ed.5)
Textbook problems 14.104, 14.108, 14.144 (14.128 in Ed.5), 14.154 (14.138
in Ed.5) - Draw FBDs of all of the masses being
analyzed in these problems and solve each problem. For 14.154 (14.138 in Ed.5) also determine the force of the
slotted bar on A and the force of the curved bar on
A. Assume all points of contact are
frictionless. Hint: the slope of the curved bar, and therefore the angle of its
tangent, can be computed from dy/dx = (dy/dq)/(dx/dq). (Note:
Textbook problems 15.96, 15.128 (15.98 in Ed.5) (you will have to numerically solve a
cubic equation), 15.152 (15.138 in Ed.5),
16.90, 16.92, 16.96
Week 9 homework, due Friday March
13th:
Textbook problems 14.35 (for Ed.4 Ans: 11.1 degrees; for Ed.5 F = 193.64 N), 16.22, 16.52 (for Ed.4
Ans: 0.0988 ft; for Ed.5 v = 603.2 m/s), 16.65 - Explain why your
answers differ for parts (b) and (c) (
Week 10 homework, due Friday
March 20th:
Textbook problems 17.13 Ans:
(a) 4 rad/s, (b) v=2 m/s, a=8
m/s/s, 17.30, 17.36 (17.70 in Ed.5), 17.98 (17.75 in Ed.5)
Week 11 homework, due Friday
March 27th:
Textbook problems 17.90 (17.89 in Ed.5), 17.104, 17.122 (the answer for the
angular acceleration should be 6 rad/s/s clockwise),
17.138 (the answer should be 3.88 rad/s
counterclockwise), 17.140
Textbook problems 17.139 (Ans:
64.6 rad/s/s), 18.102 (18.86 in Ed.5), 18.136 (18.120
in Ed.5), 18.140 (18.124 in Ed.5)
Draw correct free body
diagrams of each of the rigid bodies in each of the problems. Do not attempt to
solve any of the problems; the assignment is only to draw the appropriate free
body diagrams. Each problem will be graded as all or none, zero points if
anything is incorrect or missing and 5 points if everything is correct. Free
body diagrams that contain drawings with supports in them are incorrect. Note
that if an object has specified angular velocity or angular acceleration then
there must be an applied couple or torque at the point being driven. (Do not
include velocities or accelerations.)
Textbook problems 18.49 (2 FBDs), 18.67 (3 FBDs), 18.69 (3
18.135
(3 FBDs) (18.119 in Ed.5)
Week 14 homework, due Friday
April 17th:
Textbook problems 18.22, 19.14, 19.55 (Ans: A:
6.90 rad/s CCW, B: 3.45 rad
/s CW, C: 4.60 rad/s CCW), 19.72 (19.74 in Ed.5), 19.111 (Ans: 8.90 rad/s)