The force on an object is F = -10j. For the vector v = -i + j, find...
(a) The component of F parallel to v:
(b) The component of F perpendicular to v:
(c) The work, W, done by force F through displacement, v = ?
The force on an object is F = -10j. For the vector v = -i + j, find...?
2013-05-22 3:04 pm
回答 (2)
2013-05-22 4:01 pm
✔ 最佳答案
(a) The unit vector along v isn=(-i+j)/sqrt(2) and the component
of F parallel to v is
Fn=F*n=-10j*(-i+j)sqrt(2)=-5sqrt(2)n
(b) Let this component be Fn', then
Fn+Fn'=-10j=>
Fn'=-10j-[-5sqrt(2)n]=>
Fn'=-10j+5sqrt(2)n=>
Fn'=-5i-5j
(c) | v|=|-i+j|=sqrt(2)
W=F*v=-10j*(-i+j)=-10
2016-11-06 3:16 pm
so which you get the displacement as d = (6-8)i + (0 - 8)j + (-a million +8)ok = -2i - 8j + 7k So the artwork executed is given through W = f . d = (10i + 10j + 7k) . ( -2i -8j + 7k) = -20 - eighty + 40 9 = -51
收錄日期: 2021-04-26 17:14:51
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https://hk.answers.yahoo.com/question/index?qid=20130522070452AAqaryu