Engineering Mechanics Question paper May 2016 – The First year F.E semester 1 question paper for Engineering mechanics is given below.
Engineering Mechanics Question paper May 2016
1(a) Determine the resultant of the forces acting as given in figure below. Find the angle which the resultant makes with the positive x-axis.
1(b) Two spheres A and B are kept in a horizontal channel. Determine the reactions coming from all the contact surfaces. Consider the radius of A and B are 40mm and 30mm respectively. Take WA = 500 N and WB = 200N
1(e) Find the angle the force P makes with horizontal such that the block of mass 4 kg has an acceleration of 10m/sec2, when it is subjected to a force of 35 N. ?s=0.7, ?k=0.6
2(a) Replace the force system by a single force w.r.to point C
2(b) A uniform beam AB hinged at A is kept horizontal by supporting & setting a 100 n weight by using a string tied at B & passing over a smooth pulley at C. The beam also loaded as shown in figure below. Find the reactions at A & C.
3(a) Find Centroid of shaded area with reference to X and Y axes.
3(c) A collar of mass 1 kg is attached to a spring ad slides without friction along a circular rod which lies in a horizontal plane. The spring is underformed when the collar is at B. Knowing that the collar is passing through the point D with a speed of 1.8 m/s, determine the speed of the collar when it passes through point C and B. Take Stiffness of the spring, k=250 N/m, Radius of the circular path = 300 mm and distance OA=125 mm.
4(a) Find the reactions at supports A and E for the beam loaded as shown in figure below.
4(c) Find velocity of C and point D at the instant shown ?AB = 3 rad/sec clockwise. AB = 400mm.
5(a) Find the forces in CF and CD by method of section and the remaining by Method of Joints.
5(b) For a vehicle moving along a straight line, v-t diagram is as shown in figure below. Plt a-t & s-t diagrams for the given time period.
5(c) A wheel is rolling along a straight path without slipping. Determine velocity of points A, B and p. OP = 600mm, ?=4 rad/sec, Vo=4m/s
6(c) A heavy metal bar AB rests with its lower end A on a rough horizontal floor having coefficient of friction ?F & the other end B on a rough vertical wall having coefficient of friction ?W. If the centre of gravity of the bar is at distances a & b from the ends A & B respectively, show that at impending motion, the inclination of the bar with the horizontal will be :
take m1 = 50kg & m2 = 40kg