**Homework:**

**Week 1 homework, due Friday Jan
16 ^{th}:**

Textbook problems **(refers
to the 4 ^{th} edition, check the 5^{th})** 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**

**AxB ^{.}C** =

Which operation (** ^{.}** or

**Week 2 homework, due Friday Jan
23 ^{th}:**

**Week 3 homework, due Friday Jan
30 ^{rd}:**

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) = c_{n}x^{n} for 0<x<L.
What are the dimensions of the constant _{n}? Note that they are different for each n.

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 + 4x^{3}
- 3x^{6}) 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
6 ^{th}:**

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
13 ^{th} **(this
material will

Textbook
problems 13.44, 13.66, 13.70

^{th}:

Textbook problems 13.60, 13.132, 13.136,
13.144, 13.158, 13.194 (13.182 in Ed.5)

^{th}:

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: *Answer: The angle
between the tangent of the curved bar and the horizontal is 23.2 degrees at the
position under consideration. The force of the slotted bar on the mass is 1.29
N down and to the left, and the force of the curved bar on the mass is 10.74 N
down and to the right. Note that the assembly lies in the horizontal plane, so
there will not be a force due to the weight in the plane
of the motion. There will be a normal force perpendicular to the plane of
motion due to the guide rod that exactly balances the weight since there is no
acceleration in this direction.*

**Monday**** March 9 ^{th}:**

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
13 ^{th}:**

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) (*Ans**:
(a) 1/2, (b) 1/4 m v _{A}*

**Week 10 homework, due Friday
March 20 ^{th}:**

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 27 ^{th}:**

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

**Monday**** April 6 ^{th}:**

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)

^{th}:

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 17 ^{th}:**

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)