5. Examine the hook shown below. a. Determine the resultant force on the hook. b

Question

5. Examine the hook shown below. a. Determine the resultant force on the hook. b. Is the hook in equilibrium? Explain your answer c. What is the minimum number of independent equations necessary to establish whether the hook is in equilibrium? Explain your answer What kind of vector (fixed, sliding, or free) is being used to represent each force on the hook? Explain your answer. Draw a situation where the use of a sliding vector would be appropriate. d. e. F 1000 N F2 1500 N 30° 20° F3 750 N From FE Review Manual, Michael R. Lindeburg, 2006

Explanation / Answer

a)

Rx = 1000cos30 - 1500cos20 - 750cos15 = -1268N

Ry = 1000sin30 + 1500sin20 - 750sin15 = 819 N

R = 1509 N ... by pythagoras

b)

As resultant is non zero, it is not in equilibrium

c)

2

Rx=0 and Ry = 0... These both are necessary and satisfactory conditions for equilibrium of concurrent forces.

d)

Sliding. As it can be moved to or fro without changing the effect.

e)

Any push or pull be interconverted as they are sliding forces

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