| 3.1 | MB = 1.277 Nm ccw |
| 3.3 | MB = 186.6 Nm cw |
| 3.5 | α=6.12°, 33.8° |
| 3.17 |
(a) λ = 1/√11(-3i -j - k) (b) λ = 1/√13(2j + 3k) |
| 3.19 |
(a) Mo = -18i + 16j - 44k (b) Mo = -25i + 47j +38k (c) Mo = 0 |
| 3.22 | MA = (23.5Nm)i + (78.5Nm)j - (473Nm)k |
| 3.24 | MC = -(153 lbft)i + (63 lbft)j + (215 lbft)k |
| 3.26 | Mo = (2.02 Nm)i - (1.926 Nm)j - (1.315 Nm)k |
| 3.35 |
P · Q = 18 P · S = 10 Q · S = 0 thus Q and S are perpendicular |
| 3.37 | θ = 43.6° |
| 3.39 | θ = 27.4° |
| 3.71 |
(a) M = 12.39 Nm cw (b) M = 12.39 Nm cw (c) M = 12.39 Nm cw |
| 3.75 |
M = 10 lbft cw θ = 126.9° |
| 3.80 |
M = 4.5 Nm θx = 90° θy = 177.1° θz = 87.1° |
| 3.82 |
FD = 100 N ↑ FC = 100 N ↓ |
| 3.87 |
(a) F = (240 N)k, M = (100 Nm)j (b) F' = (240 N)k applied .417 m from A along side AB (c) P = 100 N |
| 3.89 |
(a) F = 48 lb ∠ 65°, M = 490 lbin cw (b) F' = 48 lb ∠ 65° applied to the lever 17.78 in to the left of pin B |
| 3.101 |
(a) a. Ra = 600 N ↓, Ma = 1000 Nm ccw b. Rb = 600 N ↓, Mb = 900 Nm cw c. Rc = 600 N ↓, Mc = 900 Nm ccw d. Rd = 400 N ↑, Md = 900 Nm ccw e. Re = 600 N ↓, Me = 200 Nm cw f. Rf = 600 N ↓, Mf = 800 Nm ccw g. Rg = 1000 N ↓, Mg = 1000 Nm ccw h. Rh = 600 N ↓, Mh = 900 Nm ccw (b) loading c. and h. are equivalent |
| 3.105 |
(a) WD = 60 lb, d = 2 ft (b) WD = 52 lb, d = 2.31 ft |
| 3.108 |
R = 72.4 lb ∠ -81.9° M = 206 lbft |
| 3.111 | (a) R = 665 lb ∠ 79.6° applied 64.0 inches to the right of A. (b) α = 22.9° |
| 3.120 |
R = -(420 N)j - (339 N)k M = (1.125 Nm)i + (163.9 Nm)j - (109.9 Nm)k |
| 11.98 |
(a) vo = 15.5 m/s (b) d = 5.12 m |
| 11.100 |
(a) 70.4 mph <= vo <= 89.4 mph (b) α31 = 6.89°, α42 = 4.29° |
| 11.103 | d = 242 yd |
| 11.133 | an = 23.1 m/s2 |
| 11.135 | (vmax)AB = 59.9 mph |
| 11.138 | t = 8.55 s |
| 11.162 |
(a) v = 3πbuθ (b) by observation, v = vmax when cosθ = 1 or θ = 2Nπ, N=0,1,2 ... |
| 11.167 | v = (b θdot)/(cos2θ) |
| 11.170 | θdot = (vo cos β)/(h) · (tan β cos θ + sin θ)2 |
| 11.171 | vavg = 185.7 kph |
| 11.172 | vavg = 61.8 mph, β = 49.7° |