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Material Type: Assignment; Class: Statics; Subject: Mechanical and Materials Engr; University: Wright State University-Main Campus; Term: Unknown 1989;
Typology: Assignments
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J. Slater: Assignment 1
Solve the following for as many variables as possible.
Find the unit direction vectors between the points defined by the vectors F 1
and F 2
(From point 1
to point 2).
1 i
2 j
( + ) 3 j
2 k
3 2.5 i
4 j
1 i
3 j
( + ) 2 j
3 k
ÿ ( + ) =
2 j
3 k
( + ) 1 i
3 j
ÿ ( + ) =
8 i
( + ) 4 i
5 j
μ ( – ) =
3 i
2 j
8 k
( + + ) 2 i
8 j
3 k
μ ( + + ) =
2 i
8 j
3 k
( + + ) 3 i
2 j
8 k
μ ( + + ) =
5 30 i
sin 30 j
( +cos ) =
a i
10 j
( + ) 3 j
b k
μ ( + ) =
8 i
b j
( + ) 3 i
4 k
ÿ ( + ) =
a 45 i
sin 45 j
( +cos ) b 135 i
sin 135 j
a i
b j
( + ) 3 i
a j
a i
b j
9 k
3 a i
b j
c j
( + + ) 4 1 i
3 j
a i
b j
( + ) c i
1 k
μ ( + ) 1 i
2 j
3 k
2 i
b j
( + ) c i
1 k
ÿ ( + ) = 2
a i
1 i
2 j
( + ) 2 j
3 k
ÿ [ μ( + )] 2 j
3 k
( + ) 1 i
1 i
2 j
= ÿ[ μ( + )]
1
0 i
0 j
2
, 1 i
2 j
1
1 i
2 j
2
, 0 i
0 j
1
6 i
14 j
2
, 1 i
2 j
1
1 i
2 j
3 k
2
, 9 i
3 j
2 k