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1. The document presents the solution to two mechanics problems (Problems 18 and 19) involving calculating displacement (d) and work (W) given position vectors. 2. For Problem 18, d is calculated as 2 units and W is calculated as 26 Nm. 3. For Problem 19, d is calculated as -1 units and W is calculated as 45 Nm.
![4
1 2 2 1
:
(4 0) (6 0) [(1 0) (1 0) ]
4 6 3 5
Let us first find displacement d as
d
i J i j
i j i j i j
? ? ?
? ? ? ? ? ? ? ?
? ? ? ? ? ?
P P OP OP](https://image.slidesharecdn.com/workdonebyf-240114050357-39a9f9cd/85/Work-Done-By-F-doc-4-320.jpg)
![7
1 2 2 1
:
(2 0) (4 0) (6 0)
[(3 0) (1 0) ( 2 0) ]
2 4 6 3 2
3 8
Let us first find displacement d as
d
i J k
i j k
i j k i j k
i j k
? ? ?
? ? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ?
P P OP OP](https://image.slidesharecdn.com/workdonebyf-240114050357-39a9f9cd/85/Work-Done-By-F-doc-7-320.jpg)
Work Done By F.doc
- 2. 2
- 3. 3
- 4. 4 1 2 2 1 : (4 0) (6 0) [(1 0) (1 0) ] 4 6 3 5 Let us first find displacement d as d i J i j i j i j i j ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? P P OP OP
- 5. 5 , . (2 4 ).(3 5 ) 6 20 26 . Now W i j i j N m ? ? ? ? ? ? ? F d (MMP) Problem No.19
- 6. 6 Solution
- 7. 7 1 2 2 1 : (2 0) (4 0) (6 0) [(3 0) (1 0) ( 2 0) ] 2 4 6 3 2 3 8 Let us first find displacement d as d i J k i j k i j k i j k i j k ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? P P OP OP
- 8. 8 , . (4 3 5 ).( 3 8 ) 4 9 40 45 . Now W i j k i j k N m ? ? ? ? ? ? ? ? ? ? ? ? F d