Engineering FE Engineering Common Sem 1 2019 December 2019 Engineering Mechanics Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q2 Attempt any 3 more questions from remaining five
2. Q3 Assume suitable data if necessary, and mention the same clearly
3. Q4 Figures to the right indicate full mark
4. Q5 Take g= 9.81m/s?
5. Q1 a) Forces F3 and are acting on a particles. Find the force F4 so as to give the resultant of system of concurrent forces R = 800 N as shown in figure. [4]
   • b) A light fixture weighing 24 N is hung by a string as shown in figure. Determine the tensions in AC and BC of the string. [4]
   • c) State various laws of friction. 4
   • d) The motion of a particle is defined by the relation v = 4t-3t-1 where v is in m/s and t is in sec. If the displacement x = - 4m at t determine the displacement and acceleration
   • e) A car travelling at a speed of 60m/s is braked and comes to rest in 10 seconds after the brakes are applied. Find the minimum coefficient of friction between the wheels and Two equal loads of 2500 N are supported by the flexible string ABCD at point B and C Find the tension in the portion AB, BC and CD of the string. [8]
   • b) Find the resultant of the force system on a body OABC as shown in figure. Also find the points where the resultant will cut the X and Y axis. [6]
   • c) If a ball is thrown vertically down with a velocity of 10m/s from a height of 3m. Find the maximum height it can reach after hitting the floor, if the coefficient of restitution 3.a) Determine the Centroid of the shaded area. [8]
   • b) The 10kg mass slides from rest at A along the frictionless rod. Determine the speed at B Stiffness of the spring K = 80 N/m. Unstretched length of spring is 0.3 m. [6]
   • c) A force F = + 50j — 60k passes through a pont A (6,2,6). Compute its moment about Find support reactions at A and E for the beam loaded as shown in fig. [8]
   • b) An aero plane flying horizontally with a velocity of 100m/s releases a packet which lands to the ground after 8 seconds. Find the velocity with which the packet lands Also find the height from which it was released 6
   • c) A wheel of radius 0.75m rolls without slipping on a horizontal stationary surface to the right. Determine the velocities of the points P and Q when the velocity of centre of the wheel is 25 m/s to the right For the truss shown in Fig, determine : 6
6. Q1 in members AB, BF and EF by method of sections only. 3 marks
   • ii) in all other members by method of joints. 5
   • b) A motorcycle starts from rest and accelerates at 2m/s? till velocity reaches 10m/s. Then it accelerates at 1m/s? till velocity reaches 15m/s and continues at uniform velocity of 15m/s till it covers a total distance of 300m. Find the total time taken to cover this distance. Draw the v-t and x-t graph for this motion. [6]
   • c) In the slider crank mechanism shown in fig, the crank AB of length 10 cm rotates anti clockwise with an angular velocity of 6 rad/sec. The connecting rod BC is 45 cm in length and the slider at C is constrained to move along a horizontal line. At the instant shown, find the angular velocity of rod BC and velocity of slider at C. [6] Determine the force P to cause motion to impend. Take masses of blocks A and B as 8kg and 4kg respectively. Coefficient of static friction between sliding surfaces is 0.2. Assume smooth pulley. The force P and the rope are parallel to the inclined plane. [8]
   • b) Explain conditions for equilibrium for different system of forces in space. 4
   • c) A car starts from rest and moves along a circular path having a radius of 25m. Its speed increases at a uniform rate of 0.5 Find the time from the start and distance travelled when its resultant acceleration becomes 1.5 [4]
   • d) Blocks P; = 4N and P2= 8N are connected by inextensible string. Find acceleration of the blocks. The coefficient of kinetic friction is 0.15, pulley is frictionless. [4]

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