Handout & Assignment No1 of E[1].M

Handout One

CE 102

Engineering Mechanics

First Year

Department of Computer and Information Systems

CE 102 FE – CIS Handout OneEngineering Mechanics Batch 2008 - 2009

Mohammad Ahmed Rehmatullah

Lecturer,Department of Civil Engineering,

NED University of Engineering and Technology.

of 13Mohammad Ahmed RehmatullahLecturer, Department of Civil Engineering, NED University of Engineering and Technology.


Assignment OneDue Date: Tuesday, January 30, 2009

Instructions

Every handout will be followed by an assignment consisting of numerous problem statements. Your task will be to solve the problems and submit it before the due date.

Some pointers for assignment submission are as follows:

- Assignment will be completed in legible writing on a NED Stationary copy.- Questions are not to be copied and should only be referred before each solution. - Each question shall be supported with relevant comments or workings.- Assignments may be submitted to the class representatives or to course instructor directly.- It is advised to solve as many questions as possible as these questions are meant to a part of your

learning.

Question One

Two control rods are attached at A to the lever AB (left). Using trigonometry and knowing that the force in the left hand rod is F1 = 120N, determine

- The required force F2 in the right hand rod if the resultant of the two forces exerted by the rods on the lever is to be vertical,

- The corresponding magnitude of the resultant,- The value of the resultant if F1 = 80N and F2 = 120N.

Solve the question using parallelogram and force resolution methods.

Question Two

Find the resultant of the following system of forces. Assume the conventional x-y axis where the x axis lies on the x axis.

Question Three


500N

400N

300N


Boom AB is held in the position shown by three cables. Knowing that the tensions in the cables AC and AD are 4N and 5.2N, respectively, determine

- The tension in cable AE if the resultant of the tensions exerted at point A of the boom must be directed along AB

- The corresponding magnitude of the resultant

Question Four

The 600N force applied to the bracket at A is to be replaced by two forces, Fa in the a-a direction and Fb in the b-b direction, which together produce the same effect on the bracket as that of the 600N force. Detrmine Fa and Fb.

Question Five

It is desired to remove the spike from the timber by applying force along its horizontal axis. An obstruction A prevents direct access, so that two forces, one 400lb and the other P, are applied by cables as shown. Compute the magnitude of P necessary to ensure a resultant T directed along the spike. Also find T.

Question Six

The three concurrent forces acting on the post produce a resultantforce FR = 0. If F2 = 0.5 F1, and F1 is to be 90 degrees from F2 as shown, determine the required magnitude F3 expressed in termsof F1 and the angle θ.

Question Seven

If θ = 60 degrees and F = 20kN, determine the magnitude of the resultant force and its direction measured clockwise from positive x axis.



Question Eight

If F2 = 150lb and θ = 55 degrees, determine the magnitude and orientation, measured clockwise from the positive x axis, of the resultant force of the three forces acting on the bracket.

Question Nine

Determine the magnitude and coordinate direction angles of F1 = {60i – 50j + 40k} N and F2 = {-40i – 85j + 30k} N.

Question Ten

Determine the length of member AB of the truss by first establishing a Cartesian position vector from A to B and then determining its magnitude.


Handout & Assignment No1 of E[1].M

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