Engineering Mechanics (EM) SPPU Endsem Question Paper Nov 2024

Questions

1. Q1

   1. a)

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

      [6]
   2. b)

      The square plate has mass of 1800kg with mass center at ‘G’. Calculate the tension in each of the three cables with which the plate is lifted while remaining horizontal as shown in Fig. 1 b.

      [8]
   3. c)

      Explain how uniformly distributed load (UDL) and uniformly varying load (UVL) is converted in to a point load with sketch. 2

      Also asked:May 2023

      [4]
   OR

2. Q2

   1. a)

      Determine the support reactions at roller A and pin at B for a beam loaded with 300kg box as shown in Fig. 2 a. Neglect the weight of beam.

      [5]
   2. b)

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

      [7]
   3. c)

      Explain Simple, Roller, Hinge and Fixed support with number of reactions developed at each joint with sketch.

      Also asked:May 2023

      [6]

3. Q3

   1. a)

      Determine the force in all members of the truss loaded with 1000 N force at A, B and C with supports as shown in Fig. 3 a.

      [6]
   2. b)

      Determine the x and y components of forces acting at joint B and D on the member BD for a frame loaded and supported as shown in Fig. 3 b.

      [7]
   3. c)

      Define two force and multi force member with a sketch.

      [4]
   OR

4. Q4

   1. a)

      Determine the forces in the members AC, BC and BD for the truss loaded and supported as shown in Fig. 3 a. 3

      [6]
   2. b)

      Knowing that m C = 50 kg, determine the tension in each segment of the cable and magnitude of mass 'm B ' for cable supported and loaded as shown in Fig. 4 b.

      [6]
   3. c)

      Explain deficient, determinate and indeterminate truss with a sketch.

      Also asked:May 2025

      [5]

5. Q5

   1. a)

      Acceleration of a particle moving along a straight line is given as ‘a=t/6’, where ‘a’ is acceleration in m/s 2 and ‘t’ is time in seconds. Initially, then t = 0 sec, the velocity is 2 m/s and displacement is 7m. Determine velocity and displacement of particle at t=3 seconds.

      [6]
   2. b)

      A stone thrown vertically upward with 20 m/s from top of a tower 80 m high. Determine velocity with which it hits the ground at base level of tower and total time required to reach the ground level.

      [6]
   3. c)

      A golf player hits the ball from point A with a velocity 45 m/s as shown in Fig. 5c at an angle of 20° with horizontal. Determine the maximum height it reaches and the horizontal distance it falls w.r.to A. Consider ground to be horizontal.

      [6]
   OR

6. Q6

   1. a)

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

      [6]
   2. b)

      A golf player hits the ball from point A with a velocity 45 m/s as shown in Fig. 6b at an angle of 20° with horizontal. Determine whether the ball will pass over the 12m high tree placed at 80m from A. Consider ground to be horizontal.

      [6]
   3. c)

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

      [6]

7. Q7

   1. a)

      A 15 kg ball suspended by 3m describes an arc of a circle leftwards as shown in Fig. 7a. If the tension in the string is 2.5 times weight of the ball, for the position as shown, determine the velocity and acceleration of the ball in that position.

      [6]
   2. b)

      A racing car travels around the horizontal circular track of radius 100m. If the car starts from rest and accelerates with tangential acceleration of 7 m/s 2 for some time. Determine the time and velocity when the total acceleration of the racing car reaches to 8 m/s 2 .

      Also asked:May 2023

      [6]
   3. c)

      A ball of mass 1kg dropped from 5m height on a horizontal floor rebounds back to 3m height. Determine the coefficient of restitution between the floor and ball. Also Determine its renounced height after falling from 3m again. 5

      Also asked:May 2023

      [5]
   OR

8. Q8

   1. a)

      A 65 kg wrenching ball ‘B’ is suspended through cables AB and BC as shown in Fig. 8a . Determine the tension in the cable BC at that moment, if the cable AB is cut.

      [6]
   2. b)

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

      [6]
   3. c)

      Ball ‘A’ of 5 kg moving with 10 m/s rightwards, strikes with ball ‘B’ of 1 kg which is at rest. If after the impact the velocity of the ball ‘B’ is 10 m/s rightwards. Determine, the velocity of the ball ‘A’ after impact and coefficient of restitution ‘e’. ♦♦♦

      Also asked:May 2023

      [5]