MECH325 - Homework Hints, Answers, and Extra Requirements

Homework 10 (Chapters 15 and 16)

TO ENHANCE YOUR LEARNING, PLEASE TRY TO WORK THE PROBLEMS FIRST WITHOUT LOOKING AT THE HINTS AND ANSWERS BELOW.

MAKE SURE YOU SATISFY ALL REQUIREMENTS LISTED BELOW AND IN THE ORIGINAL PROBLEM STATEMENTS (UNLESS INDICATED OTHERWISE BELOW).

NOTE - BECAUSE MOST ANSWERS ARE PROVIDED, IT IS VERY IMPORTANT THAT YOU SHOW ALL STEPS IN YOUR WORK.  THE GRADING WILL BE BASED ON THE COMPLETENESS, CLARITY, AND CORRECTNESS OF YOUR WORK, NOT JUST THE ANSWERS YOU PROVIDE.

15.3
[10 pts]
  • 6.0625 in
15.17
[15 pts]
  • see addendum info on page 599 (627).
  • P = 2.7;  CR = 1.5
15.23
[35 pts]
  • (a)
    • rpmb = 400 rpm
    • rpmc = 133 rpm
    • dp =  3 in
    • dg = 9 in
    • p = 0.63 in
  • (b)
    • (i) Ta = 7.96 Nm;  Tb = 23.9 Nm;  Tc = 71.6 Nm
    • (ii) Ta = 7.96 Nm;  Tb = 22.7 Nm;  Tc = 64.7 Nm
  • (c)
    • Fat = 209 N;  Far = 97.5
    • Fbt = 627 N;  Fbr = 292
    • Calculate the bearing reaction force components in the horizontal and vertical planes separately, and then find each resultant magnitude with the square root of sum of squares of the components.
    • FA = 420 N;  FB = 903 N
16.16
[20 pts]
  • Use Equation 16.3 to derive a relationship between the module (m) and the module in the normal plane (mn).
  • (a) 5.0
  • (b)
    • Ft = 7620 N
    • Fr = 3170 N
    • Fa = 4160 N
  • (c)
    • Ft = 16,300 N
    • Fr = 6340 N
    • Fa = 5950 N
16.21
[20 pts]
  • the cone angles (γ) are not 45°
  • Tp = 184 ft-lb
  • Tg = 460 ft-lb
  • Ft = 839 lb
  • Fr = 283 lb
  • Fa = 113 lb