# Canadian Third Class ME  Applied Mechanics

##### Brought to you by www.dieselduck.net comments to [email protected]
###### Transport Canada has ask us to advise users of this webpage to keep in mind that these questions are not the exact questions found in their exams. Martin's Marine Engineering Page - www.dieselduck.net is not affiliated with Transport Canada and these questions have been gathered from various sources.

Thank you Peter B. for submitting these questions.

1 - Two rope slings, each 2 m long are used to lift a small engine bed plate of mass 3.058 Mg. The attachments to the bed plate are 2.5 m apart horizontally and the top ends of the ropes are connected to a common ring on the crane hook. Find the tension in each rope sling

Ans. = 19.22 kN. Ref. Reeds Volume 2, Page 8

2 - One ship, A, is steaming due West at 19 knots and another ship, B, which is 5 nautical miles South West of A is steaming North 30deg. East at 17 knots. Find the distance between the two ships when they are nearest together and the time to get there.

Ans (i) = 1.448 nm.

(ii) = 9.2 Minutes Ref. Reeds Vol.2 Page 54

3 - A pulley 610 mm diameter is driven at 300 revs/min by a belt, the tensions in the tight and slack sides of the belt being 670 N and 270 N. Find the power transmitted.

Ans. = 3.833 kW Ref. Reeds Vol.2 Page 99

4 - An eccentric sheave of uniform thickness is 500 mm diameter, the hole for the shaft is 125 mm diameter and its center is 100 mm from the center of the sheave. Calculate the position of the center of gravity of the sheave from its geometrical center.

Ans. = 6.67 mm from center. Ref. Reeds Vol 2 Page 179

5 - There are 4 pulleys in each block of a set of rope pulley blocks. If the efficiency is 70% when lifting a load of 2.8 kN. What is the effort applied? What is the efficiency of each pulley?

Ans (i) = 500 N

Ans (ii) = 95.64 % Ref. Reeds Vol 2 Page 207

6 - Part (i) What is meant by "Young�s Modules of Elasticity?

Part (ii) A round steel pipe is 3 meters long, with an outside diameter of 6 cm. The pipe stretches .2cm. with a tensile pull of 11.12 kN. If the "E" for the pipe is 462 GN/m2 find the inside diameter of the pipe.

7 - A beam 11 meters long is simply supported at each end and carries concentrated loads of 80, 30,20, and 40 kN at 2.5 ,5 ,7.5 and 9.5 meters respectively from the left support. Draw to scale the shearing force and bending moment diagrams and read off the values of the shearing force and bending moment at the points (i) 3.5 m and (ii) 8.5 m from the left support.

Two Diagrams Here!

Ans. S.F. @ 3.5 m from left end = 10 kN

M " " " " � = 235 kN m

S.F. @ 8.5 m from left end = 40 kN

M " " " " " = 160 kN m Ref. Reeds Vol 2 Page 278

8 - A body of 200 N weight rests on an horizontal plane, the coefficient of friction between the body and the plane is 0.25 . Find the force inclined upward at 30 deg. to the horizontal that will just cause motion.

Ans = 50.44 N Ref. Reeds Vol 2 Page152

9 - Two double bottom tanks are separated by a bulk head. One tank is empty and the other is full of oil of density 0.85. The bulk head is rectangular in shape and measures 12 m wide and 6 m deep. What is the force on the bulk head with the tank just full? What would the force be on the bulk head if the oil rose 3 meters up the sound pipe?