The beam is to be hoisted using two chains. If the resultant force is to be 660 N directed along the positive y axis, determine the magnitudes of force Fa and Fb acting on each chain and the angle theta of Fb so that the magnitude of Fb is a minimum. Fa acts at 30 degrees from the y axis.Determine the magnitude of Fa.Determine the magnitude of Fb.Determine the angle theta.
As there should be no horizontal displacement, Fa sin θ = Fb sin 30 Fa sin θ =0.5 Fb -----------------1 For Fa to be the minimum sin θ should be the maximum and is equal to 1 Θ =90? and the minimum value of Fa =0.5 Fb In the vertical direction Fa cos θ + Fb cos 30 = 660 Fa cos 90 + 0.8660 Fb = 660 -------------2 Fb = 762. N and Fa = 381 N ======================================...
