The University of Melbourne ENGR20004 Engineering Mechanics Tutorial 1 Static Revision – Forces and Moments Question 1 (Problem 2/1 from M&K - Statics) Figure 1: Vector ~F The force ~F has a magnitude of 800 N as shown in figure 1. Express ~F as a vector in terms of the unit vectors ~i and ~j. Identify the x and y scalar components of ~F . Question 2 (Problem 2/31 from M&K - Statics) Figure 2: Vector ~F Determine the moment of the 50 N force as shown in figure 2 1. about point O by Varignon’s theorem 2. about point C by a vector approach 1 Week 02 Tutorial One – Static Revision – Forces & Moments Question 3 (Problem 2/33 from M&K - Statics) Figure 3: Water pump In steadily turning the water pump, a person exerts the 120 N force on the handle as shown in figure 3. Determine the moment of this force about point O. Question 4 (Problem 3/3 from M&K - Statics) Figure 4: Carpenter A carpenter carries a 6 kg uniform board as shown in figure 4. What downward force does he feel on his shoulder at A? Page 2 of 3 Week 02 Tutorial One – Static Revision – Forces & Moments Question 5 (Problem 2/86 from M&K - Statics) Figure 5: Airliner A commercial airliner with four jet engines, each producing 90 kN of forward thrust, is in a steady, level cruise when engine number 3 suddenly fails as shown in figure 5. Determine and locate the resultant of the three remaining engine thrust vectors. Treat this as a two-dimensional problem. Question 6 (Problem 2/52 from M&K - Statics) Figure 6: Robot arm (with dimensions) Design criteria require that the robot exert the 90 N force on the part as shown in figure 6 while inserting a cylindrical part into the circular hole. Determine the moment about points A, B, and C of the force which the part exerts on the robot. Page 3 of 3




































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