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Engineering Mechanics (EM) - Dec 2013
First Year Engineering (Semester 2)
TOTAL MARKS: 50
TOTAL TIME: 2 HOURS
(1) Solve Q.1 or Q.2, Q.3 or Q.4, Q.5 or Q.6, Q.7 or Q.8
(2) Assume suitable data, if necessary.
Answer any one question from Q1 & Q2
1 (a) The resultant of two forces P and Q is 1200 N horizontally leftward. Determine the force Q and corresponding angle ? for the system of force s as shown in Fig. 1a.
(4 marks)
1 (b) The tanker is pulled with constant acceleration of 0.001 m/s2 using cable that makes an angle of 10° with the horizontal as shown in Fig. 1b. If the force in the cable is 45.694 KN, determine the mass of tanker using Newton's 2nd law of motion.



Answer any one question from Q3 & Q4
3 (a) Determine the magnitude of F1 and F2 so that the particle is in equilibrium. Refer Fig. 3a.
(6 marks)
3 (b) Determine the reactions at support for the beam loaded and supported as shown in Fig. 3b.
(5 marks)
3 (c) A concrete foundation mat of 5 m radius supports four equally spaced columns, each of which is located 4 m from the centre of the mat. Determine the magnitude and point of application of the resultant of the four loads as shown in Fig. 3 c.
(6 marks)
4 (a) A 300 mm wooden beam weighing 540N is supported by a pin and bracket at A and by cable BC. Find the reaction at A and tension in cable BC. Refer Fig. 4 a.
(6 marks)
4 (b) A rectangular plate is supported by three cables at A as shown in Fig. 4 b. Knowing that the tension in cable AD is 120 N, determine the weight of the plate.
(6 marks)
4 (c) State and explain Two Force and Three Force Principle for equilibrium with sketches.(5 marks)
Answer any one question from Q5 & Q6
5 (a) Determine the magnitude and nature of forces in the members AB, AH and GC of the truss loaded and supported as shown in Fig. 5 a.
(6 marks)
5 (b) The 15 m ladder has a uniform weight of 80 N and rest against the smooth wall at B as shown in Fig. 5 b. If the coefficient of static friction between ladder and floor is ?s=0.4, determine the smallest angle ? at which the ladder will not slip.


