Two forces acting at a point have got their resultant 10 units when acting at right angles and their least resultant is 2 units. Find their greatest resultant. Also find out the resultant when they act at an angle 60°.
Answers
Answer:
the graph below show the changes in the relative concentrations of carbon dioxide in a field of long grass throughout a 24 hour period in summer. explain why the levels of carbon dioxide are high at 0200 hours and low at 1200 hours
Explanation:
the graph below show the changes in the relative concentrations of carbon dioxide in a field of long grass throughout a 24 hour period in summer. explain why the levels of carbon dioxide are high at 0200 hours and low at 1200 hours
Explanation:
Case 1 when F1 is opposite to F2.
Here we deal only with magnitude
Given: F1 - F2 =10 _____(1)
case2 when both forces are perpendicular to each other
And [math]\sqrt{(F1)^2 + (F2)^2} = 50[/math]___(2)
By squaring eq. 2 we get
[math](F1)^2 +(F2)^2 = 2500[/math]____(3)
On solving eq. 1 and eq. 3
[math](F1 - F2)^2 = (F1)^2+(F2)^2 -2(F1)(F2)[/math]
[math](10)^2 = 2500 -2(F1)(F2)[/math]
2(F1)(F2) = 2500 - 100=2400
(F1)(F2) = 1200 _________(4)
Now we can easily solve eq.1 and eq.4
[math](F1 + F2)^2 = (F1)^2+(F2)^2 + 2 (F1)(F2)[/math]
F1 + F2 = 70 _____(5)
By adding eq.1 and eq.5,
2(F1) = 10+70=80
F1 = 40 N
and F2 = 70 - 40 = 30 N
Hope this will help all the best!