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Friday, October 5, 2012

Q.438. Static equilibrium, Couples of forces.

Question 437.
If the resultant couple of the three couples acting on the triangular block is to be zero, determine
the magnitude of forces F and P.
Given:    F₁ = 150 N,   a= 300 mm,   b = 400 mm,   d= 600 mm.


Answer 437.
Couple Pd acts downwards and couple F1b acts upwards
Balancing, Pd = F1b
=> P = F1 * (b/d) = 150 * (400/600) = 100 N.

Couple Fd acts to the left and F1a acts to the right
Balancing, Fd = F1a
=> F = F1 (a/d) = 150 * (300/600) = 75 N.

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