5.4: Selected Answers
- Page ID
- 45951
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)1 \(\theta\)2 = 3.53 rad
2 t = 0.97 s
3 \(\theta\)B2 = 8.98 rad/s
4 t = 1.55 s
5 v1 = 12.3 m/s
6 t = 2.39 s
7 t2 = 2.8 s
8 \(\alpha\) = 45.7 rad/s2
9 \(\omega\)2 = 35.6 rad/s
10 a = 0.65 m/s2
11 \(\alpha\) = 2.92 rad/s2
12 t2 = 7.5 s
13 t2 = 2.65 s
14 ablock = 0.256 m/s2
15 atruck = 0.056 m/s2
16 atruck = 0.099 m/s2
17 \(\Delta\)rblock = 203 m
18 F rope = 477 N
19 F rope = 266 N
20 F rope = 375 N
21 Frightsupport = 9.8 N Fleftsupport = 1117 N
22 Frightsupport = 1269 N Fleftsupport = 446 N
23 Fsf = 514 N
24 F minimum = 867 N
25 a student = 0.23 m/s2
26 a student = 0.14 m/s2
27 F right rope = 503 N
28 m block = 117 kg
29 a skier = 0.57 m/s2
30 a = 0.15 m/s2
31 t2 = 1.01 s
32 t2 = 1.18 s
33 a = 5.07 m/s2
34 a = 1.75 m/s2
35 Fonbrake = 867 N
36 a. t = 3.69 s b. r = 27.7 m
37 v2 = 1.21 m/s
38 v2student = 1.5 m/s
39 Fright rope = 503 N
40 mblock = 116 kg
41 mblock = 108 kg
42 v2 = 0.49 m/s
43 v2 = 6.8 m/s
44 v2 = 5.4 m/s
45 v2 = 11 m/s
46 v2 = 1.64 m/s
47 \(\omega\)1 = -2.67 rad/s
48 \(\omega\)2 = 2.1 rad/s
49 R = 2.0 m