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COE-C1001 Statics and Dynamics Exam Exercise 1. Determine the magnitude and orientation θ of F

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COE-C1001 Statics and Dynamics Exam

Exercise 1.

Determine the magnitude and orientationθofFB so that the resultant force is directed along the positive y-axis and has a magnitude of 1500 N.

(10pts)

Exercise 2.

Determine the force in members BC, HC, and HG. State if these members are in tension or com- pression. (20pts)

Exercise 3.

Draw the shear and moment diagrams for the beam. Set P = 20 kN, a = 1.5 m, L = 6 m.

(20pts)

Exercise 4.

Small packages traveling on the conveyor belt fall off into a 1-m-long loading car. If the conveyor is running at a constant speed of vc= 2 m/s, deter- mine the smallest and largest distanceRat which the end Aof the car may be placed from the con- veyor so that the packages enter the car. (10pts)

Exercise 5.

The spool has a mass of 50 kg and a radius of gyration of kO= 0.280 m. If the 20-kg blockA is released from rest, determine the velocity of the block when it descends 0.5 m. (20pts)

Exercise 6.

If the flywheel is rotating with an angular velocity ofωA= 6 rad/s, determine the angular velocity of rod BC at the instant shown. (20pts)

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