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InsemOct 20222019 patternFE

Engineering Mechanics (EM) SPPU Insem Question Paper Oct 2022

All 4 questions from this SPPU insem paper, as printed. Read them here or open the PDF.

Subject code
101011
Pattern
2019 pattern
Exam
Insem
Session
Oct 2022
Max. marks
30
Time
1 Hour
Semester
I
Paper code
[5931]-1008

Printed for: F.E. (All)

Instructions to the candidates

  1. Answer Q.1 orQ.2, Q.3orQ.4
  2. Figures to the right indicate full marks.
  3. Assume suitable data, if necessary.
  4. Use of electronic pocket calculator is allowed in the examination.
  5. Use of cell phone is prohibited in the examination hall.

Questions

  1. Q1

    1. a)

      Determine magnitude of the resultant for the force system as shown in Fig. 1A , w.r. to ‘A’. Also determine the horizontal distance from point ‘A’, where the resultant cuts the line ABC. Comment on whether it cuts on right hand side or left hand side of point ‘A’. [6+2+2]

    2. b)

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

      [5]
  2. Q2

    1. a)

      State Varignon’s theorem and determine the magnitude and sense of a horizontal force ‘P’ to be applied at ‘B’ which will keep the vertical rod ABCD in equilibrium as shown in Fig. 2A . Take length AB = BC = CD = 1.8 m. [2+5]

    2. b)

      Determine the magnitude, direction and position of the resultant force for the given three forces acting as shown in Fig.2B , w.r. to ‘O’. [2+2+2+2]

  3. Q3

    1. a)

      Analyze and locate the position of centroid for the plane lamina as shown in Fig. 3A , w.r.to ‘A’. Also determine the moment of inertia of the shaded portion with respect to x-x axis (horizontal) passing through the centroid. [5+4] Fig. 2B Fig. 2A Fig. 3A Fig. 3B 3

    2. b)

      The uniform ladder AB has a length of 6 m and a mass of 16 kg resting at 54° with horizontal floor. End A of ladder is resting on rough horizontal floor and end B rests against a smooth vertical wall as shown in Fig. 3B . A man of mass 65 kg has to climb this ladder. At what position from the base will he induce slipping? Take coefficient of static friction  s = 0.34 between horizontal floor and ladder.

      [6]
  4. Q4

    1. a)

      Analyze and locate the position of centroid for the plane lamina as shown in Fig. 4A , w.r.to ‘O’. Also determine the moment of inertia of the shaded portion with respect to y-y axis (vertical) passing through the centroid. [4+5]

    2. b)

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

      [6]