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:

Textbook problems 3.34 (3.33 in Ed.5), 4.74, 4.106, 4.126, 4.166, 4.210 (4.200 in Ed.5)

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 cn? 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 + 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

Week 6 homework, due Friday Feb 20th:

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

Week 7 homework, due Friday Feb 27th:

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: q = theta if your browser is not displaying it correctly). 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.

Week 8 homework, due Monday March 9th:

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) (Ans: (a) 1/2, (b) 1/4 m vA2, (c) none), 16.73 the springs are unstretched in position 2, not position 1 (for Ed.4 Ans: 2.19 ft/s; for Ed.5 Ans: 6.58 ft/s), 16.76

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

Week 12 homework, due Monday April 6th:

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)

Week 13 homework, due Friday April 10th:

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 FBDs), 18.128 (1 FBD) (18.112 in Ed.5), 18.138 (3 FBDs) (18.122 in Ed.5),

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)