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2012-2013 FALL SEMESTER

AEE 261 STATICS HOMEWORK 1

Given: 04 October 2012 Due: 11 October 2012 until 13:40

(Submit Room 3 @ Rüzgem Building to Miss Zeynep Çakır)

1. Knowing that α = 35°, determine the resultant vector of the three forces shown in Figure 1

Figure 1

2. An 1800 N load is applied to the pulley C, which can roll on the cable ACB. The pulley

is held in the position shown by a second cable CAD, which passes over the pulley A and

supports a load . Determine (a) the tension in cable ACB, (b) the magnitude of load

Figure 2

𝑄

𝑃 𝑃

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3. Three cables are connected at A, where the forces and are applied as shown. Knowing

that , find the value of for which the tension in cable AD is 305 N (Figure 3).

Figure 3

Figure 4

4. The lamp has a mass of 15 kg and is supported by a pole AO and cables AB and AC. If the

force in the pole acts along its axis, determine the forces in AO, AB, and AC for

equilibrium (Figure 4).

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Prepare your homeworks considering the remarks below:

1. Read the problem carefully, and make sure that you understand what is asked.

2. Always draw a proper Free Body Diagram (FBD) in the beginning of the solution. In the FBD

there should not be any supports, or cables; only the forces. Also, do not forget to show the

orientation and directions of the vectors properly.

3. Do not forget to use arrows over the vectors as well as the unit vectors (i.e.

andkji ,,, , do not

leave as i or i ). In addition to this, do not equate vectorial quantities to scalars.

4. When writing an equilibrium equation, or calculating the moment of a force do not forget to show

the direction that you assumed to be positive.

5. How you obtain the results is as important as obtaining them. Hence, please explain your solution

and assumptions, and show all calculation steps clearly (this is a hw and you have lots of time to

show the steps). Be careful when rounding off the numbers.

6. If the gravitational acceleration (g) is to be used in the question, take its value as g = 9.81m/s2, not

g = 10 m/s2.

7. Submit your homeworks on a standard A4 paper. Do not use a pen (especially in RED color).

Please write your name, ID number and section on the first page. Do not prepare a cover page, and

you may use back sides of the pages. Also, use stapler if you are to submit multiple pages.

8. The work you delivered should truly reflect your personal efforts and knowledge in the areas of

questions. Neither your peer consultations nor any help you got from others in any form should not

go beyond discussions on the solution methods used and/or cross-checking your findings. Duplicate

work will be discarded.

9. Late homeworks will not be accepted!!