Engineering Mechanics (EM) SPPU Endsem Question Paper Nov 2023

Questions

1. Q1

   1. a)

      A 1.5 m cable placed around a crate as shown in Fig. 1 a. If the mass of the crate is 300 kg, determine the tension in the cable.

      [7]
   2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [7]
   3. c)

      Sate the component of reaction at roller, hinged, fixed and rocker support.

      [4]
   OR

2. Q2

   1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [7]
   2. b)

      Three parallel bolting forces act on the rim of the circular plate as shown in Fig. 2 b. Determine the magnitude, nature and point of application of the resultant force with respect to origin O.

      [7]
   3. c)

      Find support reaction at A and B for the beam AB as shown in Fig. 2 c.

      [4]

3. Q3

   1. a)

      Identify the zero force members and find forces in the remaining members for the pin jointed truss as shown in Fig. 3 a.

      [7]
   2. b)

      The cable segment supports the loading as shown in Fig. 3 b. Determine the support reactions at A and B. Also find maximum tension in segment of the cable.

      [7]
   3. c)

      Differentiate truss and frame with suitable sketch.

      [4]
   OR

4. Q4

   1. a)

      Determine the forces in the members CE, BE and BD of the truss as shown in Fig. 3 a.

      [7]
   2. b)

      Determine the components reaction acting on each members AB and BC of a frame as shown in Fig. 4 b.

      [7]
   3. c)

      The maximum tension is 200 N for the cable profiles ABCD as shown in Fig 4 c. Determine the force P at B and C to keep the segment BC in horizontal position. Also find tension in segment BC.

      [4]

5. Q5

   1. a)

      A car comes to rest from an initial speed of 80 km/h in a distance of 30 m. With the same constant acceleration, determine the distance ‘s’ for which the car comes to rest from an initial speed. of 110 km/h.

      Also asked:May 2024

      [5]
   2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [6]
   3. c)

      A projectile is launched with a speed of v 0 = 25 m/s at an angle of  = 30° with horizontal as shown in Fig. 5 c. Determine the maximum distance travel by projectile along horizontal and vertical direction.

      [6]
   OR

6. Q6

   1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [5]
   2. b)

      A car is traveling along a circular curve that has a radius of 50 m. If its speed is 16 m/s and tangential component of acceleration a t is 8 m/s 2 , determine the magnitude of its total acceleration at this instant.

      [6]
   3. c)

      A projectile is thrown in the air with a speed of 8 m/s and at an angle  = 30° with the horizontal, as shown in Fig. 6 c. Determine the horizontal distance it must travel to reach its highest point B.

      [6]

7. Q7

   1. a)

      An 80 kg block rests on a plane as shown in the Fig. 7 a. Find the acceleration with which block slides down using Newton’s second law if coefficient of kinetic friction is,  k = 0.20.

      [6]
   2. b)

      The pendulum bob has a mass m and is released from rest as shown in Fig. 7 b when  = 0°. Determine the tension in the cord as function of the angle of descent  . Neglect the size of bob.

      [6]
   3. c)

      A 20 Mg railroad car moving with 0.5 m/s speed to the right collides with a 35 Mg car which is at rest. If the coefficient of restitution between the two cars is e = 0.65, determine the speed of the cars after the collision.

      Also asked:May 2024

      [5]
   OR

8. Q8

   1. a)

      The system shown in Fig. 8 a is initially at rest. Neglecting axle friction and mass of pulley, determine the acceleration of 200 kg block A.

      [5]
   2. b)

      The man has a mass of 80 kg and sits 3 m from the center of the rotating platform as shown in Fig. 8 b. Due to rotation his speed is increase from rest by a t = 0.4 m/s 2 . If the coefficient of static friction between the clothes and the platform is  s = 0.3, determine the time required to cause him to slip.

      [6]
   3. c)

      A ball has a mass of 30 kg and is thrown upward with a speed of 15 m/s. Determine the time to attain maximum height using impulse momentum principle. Also find the maximum height. 

      [6]