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Determine magnitude and direction of the resultant force:
A system of forces is acting at the corner of a rectangular block as shown in the figure. Determine magnitude and direction of the resultant force.
Sol.: Let R be resultant of given system. And ∑ H and ∑ V be the horizontal and vertical component of the resultant.
∑H = 25 - 20 = 5KN ...(i)
∑V = -50 - 35 = - 85KN ...(ii)
R2 = ∑H2 + ∑V2
R2 = (5)2 + (-85)2
R = 85.14N .......ANS
Let Resultant makes an angle of θ with the horizontal tanθ = ∑V/ ∑H = -85/5
θ= - 86.63º .......ANS
Let resultant 'R' is at perpendicular distance'd' from the point A,
For finding position of resultant that is 'd', taking moment about point 'A'., or apply the varignon's theorem
R.d = 25 X 3 + 35 X 4
d = (75 + 140)/85.14
d = 2.53 m from the point A .......ANS
Principle of equilibrium: Sol.: Principle of equilibrium can be divided in to three main parts; (1) Two Force Principle: As the Resultant is zero when body is in equili
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