COLLEGE OF ENGINEERING PUTRAJAYA CAMPUSFINAL EXAMINATION

SEMESTER 2 2009 / 2010

PROGRAMME : BME/BEPE/BEEE (Honours)

SUBJECT CODE : MEMB123 / MEMB214

SUBJECT : Mechanics 1: Statics

DATE : March 2010

TIME : 2 1/2 hours

INSTRUCTIONS TO CANDIDATES:

1. This paper contains SIX (6) questions in SIX (6) pages.

2. Answer ALL questions.

3. Write ALL answers in the answer booklet provided.

4. Write answer to each question on a new page.

THIS QUESTION PAPER CONSISTS OF 6 PRINTED PAGES INCLUDING THIS COVER PAGE.

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Question 1 [13 marks]

The ring of negligible size at A in Figure 1 is able to sustain a maximum force, F of 1270N as shown

in the diagram. Given that the tension in cord AC is 900N, determine:

a. the force acting in cord AB,

b. the length of cord AC

c. the angle, under the respective loading.

Figure 1

Question 2 [20 marks]

A rectangular plate shown in the Figure 2 weighs 150 N and is supported in horizontal position by a

hinge at A and a cable CB. Determine:

i) The tension in cable CB

ii) The reaction at support A, express the results in Cartesian Vector form.

Figure 2

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Question 3 [16 marks]

(a) Locate the centroid(x, y) for the cross sectional area in Figure 3. [8 marks]

Figure 3

(b) Determine the moment of inertia of the cross sectional area with respect to x’ axis passing

through the centroid C of the cross section in Figure 4.

For calculation, use y = 104.3 mm. [8 marks]

Figure 4

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Question 4 [17 marks]

The bridge truss is loaded as shown in Figure 5. Using only the method of section, determine the

force in members BD, BE and CE. State if the members are in tension or compression. Support at A

and H can be assumed as smooth contact surface.

Figure 5

Question 5 [17 marks]

A horizontal force P is applied to a cylinder C shown in Figure 6 which, causes the slipping of the

cylinder to be impending. The cylinder’s weight is W and the coefficient of static friction of µA is

between the cylinder and the wall, and µB is between the cylinder and the floor.

(a) Draw the free body diagram of the cylinder and label ALL forces;

(b) Derive a formula for the force P in terms of W, µA , µB , and radius of the cylinder , r;

(c) Determine P if W = 500 N, µA = 0.15 , µB = 0.25, and r =300 mm.

Figure 6

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Question 6 [17 marks]

Determine the internal force, shear force and the bending moment acting at point B of the two-member

frame in Figure 7.

.

Figure 7

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Appendix

Table of Moment of Inertia

-END OF QUESTION PAPER-

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