DescriptionTopics: Chapter 1 (Basic Concepts, Units and Conversions)
● Plagiarism will be assigned zero points to all involved. No replacement/alternate
assignments will be made available.
● Draw sketches where necessary.
● Show working of the problems for full credit. Just giving correct answer without showing
the work get only half credit for that question
● Correct choice of formulae, accurate calculations, appropriate units, well drawn sketches,
showing the work and clearly identifying your answers gets full credit for a question.
● All questions are worth equal points.
Q. 1 Convert the following lengths to millimeters and meters:
(a) 17.9 in.
(b) 6.4 ft
(c) 13.8 in.
(d) 95.2 ft
Q. 2 Convert the following lengths to inches and feet:
a) 10.2 m
b) 45.0 m
c) 204 mm
d) 4600 mm
Q. 3 For the crankshaft, connecting rod and piston shown, determine the distance the piston
travels as the position of the crankshaft given by the angle θ moves from θ 35o to θ = 90o
Q.4 The 14 inch square concrete column shown in the following figure is hoisted using a
chain that is 80 in. long. If the lifting hook is placed at the midpoint, B, of the section ABC of
this chain, find the angle formed at B between the sides Ab and BC.
Q. 5 Solve the system of equations shown below using Cramer’s rule using any of the
numerical methods discussed in class. (You may cross-check your results using scientific
calculator if you like to do so.)
2A + 3B + 2C = 3
2A + B -4C = 4
A + 2B + C = 2

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