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Two like parallel forces of magnitudes \( S_1 \) and \( S_2 \) are acting at the endpoints M and N of a rod MN of length 'k'. If two opposite forces…

Class 12 Mathematics · 2080 · Solved Question with Answer

Two like parallel forces of magnitudes\( S_1 \) and \( S_2 \) are acting at the endpoints M and N of a rod MN of length 'k'. If two opposite forces each of magnitude P are added to \( S_1 \) and \( S_2 \), then prove that the line of action of new resultant will be displaced through a distance \( \frac{Pk}{S_1 + S_2} \) 

  OR ,

Consider a very simple hypothetical economy of two industries A and B as given in the table.

Producer 

User

A                      B  

Final demand  Total Output 
A 700               600 300 2000
B 500              400 250 16000

Determine the output vector of the economy if the final demand changes 90% of initial value of A and 105% of initial value of B.

Solution

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