Definition of the moment of a force


Discuss the below:

Q1) Compute the moment of the 100-lb force about A, (a) by using the definition of the moment of a force, (b) by resolving the force into horizontal and vertical components, (c) by resolving the force into components along AB and in the direction perpendicular to AB.

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Q2) Knowing that the tension in cable BC is 900 lb, determine the moment of the force exerted on the plate at C about (a) the origin of coordinates O, (b) corner D.

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Q3) A force P of magnitude 25 lb acts on a bent rod as shown. Determine the moment of P about (a) a line joining points C and F, (b) a line joining points O and C.

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Q4) The 12-ft boom AB has a fixed end A, and the tension in the cable BC is 570 lb. Replace the force that the cable exerts at B by an equivalent force-couple system at A.

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Q5) A 7-ft boom is held by a ball and socket at A and by two cables EBF and DC; cable EBF passes around a frictionless pulley at B. Determine the tension in each cable.

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Q6) The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. If brace DE is removed, determine the reactions at the hinges and the force exerted by the remaining brace CE. The hinge at A does not exert any axial thrust.

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Q7) A block of mass m = 20 kg rests on a rough plane as shown. Knowing that alpha = 25 degree and mu_s = 0.20, determine the magnitude and direction of the smallest force P required (a) to start the block up the plane, (b) to prevent the block from moving down the plane.

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Physics: Definition of the moment of a force
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