ENGR 200 HW 04 Fall 2019 PDF

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ENGR 200 – Statics

Homework Set 4 Due: ____9-30____________

1. A foot valve for a pneumatic system is hinged at B. Knowing that  = 28°, determine the moment of the 16 N force about point B. (Ch 4.1)

4. It is known that a force with a moment of 960 N·m about D is required to straighten the fence post CD. If d = 2.80 m, determine the tension that must be developed in the cable of winch puller AB to create the required moment about point D. (Ch 4.3)

2. Determine the magnitude and directional sense of the moment of the force at A about point P (Ch 4.1)

5. Determine the moment of the force F at A about point P. Express the result as a Cartesian vector (Ch 4.3)

3. The towline exerts a force of P = 4 kN at the end of the 20-m-long crane boom. If x = 25 m, determine the angle  of the boom so that this force creates a maximum moment about point 0. What is this moment? (Ch 4.1)

6. Before the trunk of a large tree is felled, cables AB and BC are attached as shown. Knowing that the tensions in cables AB and BC are 555 N and 660 N respectively, determine the moment about O of the resultant force exerted on the tree by the cables at B. (Ch 4.3)

ENGR 200 – Statics

Homework Set 4 Due: ____9-30____________

7. Strut AB of the 1-m-diameter hatch door exerts a force of 450 N on point B. Determine the moment of this force about point O. (Ch 4.3)

8. The chain AB exerts a force of 20 lb on the door at B. Determine the magnitude of the moment of this force along the hinged axis x of the door. (Ch 4.5)

10. The pipe assembly is secured to the wall by a pair of brackets. If the frictional force of both brackets can resist a maximum moment of 150 lb∙ft, determine the heaviest flower pot that can be supported by the assembly without causing it to rotated about the OA axis (Ch 4.5)

Answers 1.  N·m 2. MP = 2.37 kN·m 3.  = 33.4°, Mmax = 80 kN∙m 4.   5. MP = {-116i + 16j – 135k} kN·m 6. MO = {3.08i – 2.07k} kN·m 7. MO = {373i – 99.9 j + 173k} N·m 8. Mx = 44.4 lb·ft 9. MAF = {9.33 i + 9.33j – 4.67k}N∙m 10. 56.8 lb

9. Determine the moment produced by force F about the diagonal AF. Express the result as a Cartesian vector (Ch 4.5)...