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HW-1-ANS - HW 3 Solution Q1 ^ j ^ j ^ i i^ 2 ^ ^ ^ i(i j 2...

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HW 3 Solution Q1. 2 ˆ ˆ ˆ ( ' ') 2 2 ˆ ˆ ˆ ( ' ') 2 i i j j i j 2 2 ˆ ˆ ˆ ˆ ˆ ˆ 3 3 3 ' ' 3 ' ' 2 2 ˆ 3 2 ' F Ni Nj N i j N i j Ni So, the each representation should be: (a) Correct (b) Correct (c) Correct (d) Correct (e) Incorrect (f) Incorrect (g) Incorrect (h) Incorrect (i) Correct (j) Incorrect Q2. ˆ i ˆ j ˆ ' i ˆ ' j
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1 2 3 ˆ ˆ ˆ ˆ ˆ ˆ 2 3 10 3 1 5 ˆ ˆ ˆ 5 6 5 F F F F Ni Nj Nj Ni Nj Nk Ni Nj Nk Q3. 1 2 net F F F 2 1 ˆ ˆ ˆ 2 (10 10 ) ˆ ˆ 8 10 net F F F Ni Ni Nj Ni Nj   Q4. 1. 2 2 (30) (40) 50 v 2. Unit Vector 1 3 4 ˆ ˆ 5 5 n v i j v 3. 3 4 ˆ ˆ 50( ) 5 5 v v n i j Q.5 1. 2. 4 8 90 A B
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2 2 2 2 (4) (8) 8.944 (90) (6) 90.200 A B r r 3. ˆ ˆ ˆ ˆ 90 6 4 8 ˆ ˆ 86 2 86.023 A B r r i j i i i j Q6. 1. 2 2 1 2 2 2 ˆ (0.80) (0.60) 1.0 ˆ (0.5) (0.866) 1.0 2. 1 2 2 2 1 2 ˆ ˆ ˆ ˆ
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