1. A small peg P rests on a spring that is contained inside the smooth pipe. The spring exerts an upward force of 284 N on the peg. Determine the point.

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1. A small peg P rests on a spring that is contained inside the smooth pipe. The spring exerts an upward force of 284 N on the peg. Determine the point of attachment A (x, y, 0) of cord PA so that the tension in cords PB and PC equals 130 N and 84N, respectively. B A x 0.3 m y z 0.6 m C P 0.2 m 0.4 m

2. Cables AB and AC can sustain a maximum tension of 500 N and the pole can sustain a maximum compression of 390 N. Determine the maximum weight of the lamp that can be supported in the position shown. The force in the pole acts along the axis of the pole.

3. If the maximum allowable tension in cables AB and AC is 2000 N, determine the maximum height z to which the 800 N crate can be lifted. What horizontal force must be applied? W=800 N y x 1.5 m 2 m z A B C 3 m

4. The end D of a pipeline is being adjusted with a 270 N force as shown. Determine, a) the moment of about the joint A, b the moment of about the axis of the pipe AB, c) the shortest distance between point A and the line of action of .

5. If the magnitude of the moment of the tension force acting at C about point B is 1150 N.m, determine as a vector. Also determine the total moment of the couple acting on the surface and about point B. Side AB of the surface lie in the yz plane. 30o 300 mm 800 mm A B C 1000 mm 1400 mm D 500 mm 750 mm y x z 100 N

a) The magnitude of the moment of about the axis DC, z x y A (0, 5, 3) m E (0, 2, 2) C (4, 6, 0) m B (6, 3, 0) m F D O 6. Rectangular plate ADCF is held in equilibrium by string AB which has a tension of T=14 kN. Determine, a) The magnitude of the moment of about the axis DC, b) The perpendicular distance between lines AB and DC.

7. Determine the vector expression for the moment MO of the 600 N force about point O. The design specification for the bolt at O would require this result.