**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 W_{A} = 500 N and W_{B} = 200N

^{2}. If both the cars overtake at 500 m from the starting place, find the acceleration of car A.

1(e) Find the angle the force P makes with horizontal such that the block of mass 4 kg has an acceleration of 10m/sec^{2}, 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.

_{AB}= 100N, F

_{AC}= 150N, F

_{AD}= 200N.

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

^{2}, opposing the horizontal motion. Determine the time of flight of the stone.

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 : ?=tan?1?(1?Fa?b?F?wa+b)

_{2}.

take m

_{1}= 50kg & m

_{2}= 40kg

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