Note: Approximate answers to some or all parts of problems are given in in brackets. Note: A diagram is REQUIRED for each problem. Note: Please calculate all results to at least three significant figures (more only in special cases where needed).
Problem Set 1 (due Jan. 31): Probs. 1-2 [answers in degrees: a)
30o, b) 120o, c) 135o], 1-7, 1-10, 1-21
[ a) 3 x 108 m], 1-23 [4 x 104 km], 1-40, 1-49
[10 m, 100 m, 70 m], 1-54 [1-1/2 km, 60 o NW]
Problem Set 2 (due Feb. 5): Probs. 1-57 [a) P3: mag. 3.6 m, angle 56o;
b) P3: mag. 2.8 m, angle 45 o], 1-61 [10 km, 20o W of N],
1-64 [b) -70 km, -5 km; c) a bit south of west], 1-65 [1.5 km, 30o],
1-68 [a = (-3,2) and (-2,4)],
2-5 [Point C: 0.77 m/s, 30o clockwise from xy axis],
2-17 [15 m/s,
30o N of W], 2-22.
Problem Set 3 (due Feb. 12): Problems 2-24,
2-30, 2-36, 2-43, 2-44 [4 s, xx, 30 m/s], 2-50 [-70 m/s2], 2-54 [Annie's
after Laurie's; 20 m/s], 2-62 [after 24 sec], 3-2 [(a) 35.3
m, (f) 2 sec], 3-11 [ball at 30o hits first], 3-16
[30 m/s].
Problem Set 4 (due Feb. 19): Problems 3-8 [5 m/s going], 3-9 [20o],
3-26 [11 m; 1.5 s later], 3-32 [d = 0.23 D],
3-41, 3-52 [4 pi m],
3-58 [0.2 m/s], 3-61 [.67 km, 1.2 km, 0.3 h],
3-66 (assume constant omega), 3-80 [second plane in front by
200 m].
Problem Set 5 (due Feb 28): Problems 4-2, 4-4 [
(a) .910; (c) 74 N, 81 N], 4-17, 4-23
[2000 N], 4-29 [2 m/s2], 4-32 [7 kN],
4-36 [17 kg; 170 N], 4-39 [all the same].
Problem Set 6 (due March 5): Problems 4-15 [n: 20,000 N;
f: 2000 N],
4-20, 4-42 [45 N, in direction of truck's
acceleration], 4-59 [2000 N], 4-61 [(a) 0o; (b)
tan-1 a/g], 4-69 [13 N, 11 N],
4-80 [m > .15], 4-85 [0.3 Hz].
Problem Set 7 (due March 12): Problems 5-10 [no],
5-14 [a = g (M-m)/(M+m)], 5-18 [(b) 0.8], 5-26
[(a) aA = aB = 1.5 m/s2 down the
plane], 5-38 [ a) m = M/4; b) am = 12/17 g (down),
aM = 3/17 g (up)],
5-51 [gmars = 0.38 gearth],
5-54, 5-58 [6m; 6.4 km; No; about 3 km],
6-18 [600 N upward], 6-31 [10 m/s].
Problem Set 8 (due March 26): Problems
6-9,
6-28 [0.82 m/s],
6-41,
6-70 [0.85 m/s],
6-83 [5000 N],
7-14 [zero],
7-21.
Problem Set 9 (due April 2): Problems
7-42 [vtakeoff/21/2],
7-50 [(a) 1500N; (b) 37 kJ; (c) 7.2 kJ; (d) -81 kJ],
7-62 [2.9 MW; 14 GJ],
7-74 [W=(9.8 x 103 N)h; 16 m; 2.0%],
I2-7,
I2-9 (see page 255 for Interlude 2 problems),
Problem Set 10 (due April 11): Probs.
8-3 [l=3 cm],
8-4 [F, T, T, F, T].
8-8 [12m; 16 m/s],
8-12 [2.3x103 J; 460 N],
8-27 [vE=(2gh)1/2],
8-33 [1014kg/s],
8-38 [6Mg],8-59, 8-67,
Problem Set 11 (due April 16): Probs.
8-68 [a) 203 N; b) 24m; 1.5 km].
8-90 [h0 > 5/2 R,
9-5 [-(200 N-m)k],
9-6 [-(1300 N-m)i-(1100 N-m)j-(1600 N-m)k],
9-45 [4700 N-m].
Problem Set 12 (due April 23): Probs.
9-14 [w' = 2 rad/s],
9-17 [C],
9-53 [F = rMg/R],
9-58,
9-61,
9-73 [L/18],
9-86 [300 J-s, downward; 3/4 rpm].
10-6,
Problem Set 13 (due April 30): Probs.
10-2 [3/2 m/s, 9/2 m/s],
10-23 [h/9],
10-39 [43 kg-m/s; 79 J],
11-2 [110 N],
11-11 [(0,3/2 l)],
11-19 [4x102 N],
11-29 [9600 N, -8400 N].
11-58[Fvert = mg/2 (up); Fhoriz=31/2
((M+m)/2)g; mumin=31/2m/((3(2M+m))],
11-68 [0.28],
12-3 [8x105 rev],
Problem Set 14 (due May 5): Probs.
12-6 [67 sec],
12-23,
12-29,
12-31 [5.4 N, 4.9 W].
12-33[ax=T(R-r)/(3MR)],
12-60 [1/2 M R2],
Problem Set 15 (due May 16): Probs.
14-3 [x=-(7.5 cm)cos[(2.6 rad/s)t]],
14-9 [8.7 deg],
14-28 [3.0 s],
14-33 [2.005 s],
34-25 [1.4 x 108 m/s, 470 m],
34-33 [no],
34-44,
34-46 [0.97 c],
34-67 [fractional change = 1.44 x 10-8],
34-72 [0.238 y],
34-82.