Engineering Mechanics (ESC-104-CVL) Past Paper PDF

PRACTISE QUESTION BANK ENGINEERING MECHANICS (ESC-104-CVL) UNIT – 1 FORCE SYSTEM & IT’S RESULTANTS (NOTE : L – Low Level Question, M – Medium Level Question & H – High Level Question) Q....

PRACTISE QUESTION BANK ENGINEERING MECHANICS (ESC-104-CVL) UNIT – 1 FORCE SYSTEM & IT’S RESULTANTS (NOTE : L – Low Level Question, M – Medium Level Question & H – High Level Question) Q. 1 Level M 5M Resultant force R = 5000 N has two component forces P = 3600 N & Q = 1500 N as shown in Fig. Determine the direction of component forces P & Q w. r. to resultant force R. [Ans. Ɵ = 24.98º, α = 17.7º, β = 7.28º] Q. 2 Level H 5 or The resultant of the two forces, one of which is double the other is 260 N. 6M If the direction of the larger force is reversed & the other remains unaltered, the magnitude of the resultant reduces to 180 N. Determine the magnitude of the forces & the angle between the forces. [Ans. P = 200 N, Q = 100 N, Ɵ = 63.89º] Q. 3 Level M 5M The resultant of the two forces P & Q is 1400 N vertical. Determine the force Q & the corresponding angle Ɵ for the force system as shown in Fig. [Ans. Q = 812.56 N, Ɵ = 60.51º] Q. 4 Level M 5M Knowing that the tension in the cable BC is 145 N, determine the resultant of the three forces exerted at point B of beam AB. [Ans. R = 45.18 N, Ɵ = 62.30º, Quadrant – IIIrd] 1 PRACTISE QUESTION BANK ENGINEERING MECHANICS (ESC-104-CVL) Q. 5 Level H 6M Find value of α if the resultant of given three forces is parallel to the inclined plane. Also find the corresponding magnitude of the resultant. [Ans. α = 56.31º, R = 1021.11 N] Q. 6 Level M 5M Determine the resultant of the system of parallel forces acting on a beam as shown in Fig. [Ans. R = 100 N acts in downward direction at 3 m on RHS of first force] Q. 7 Level M 5M Three hikers as shown in figures crossing a foot bridge. Knowing that the weights of hikers at point C, D & E are 200 N, 175 N & 135 N respectively, determine horizontal distance A to the line of action of the resultant of the three hikers when a = 3.3 m. [Ans. R = 510 kN acts in downward direction at 7.816 m from point A on RHS] 2 PRACTISE QUESTION BANK ENGINEERING MECHANICS (ESC-104-CVL) Q. 8 Level M 5M Find the resultant of the forces acting on a rafter of a roof truss. Refer Fig. [Ans. R = 510 kN acts in downward direction at 7.816 m from point A on RHS] Q. 9 Level H 6 or Determine magnitude of the resultant for the force system as shown in Fig. 7M 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 side or left side of point ‘A’. [Ans. R = 15.44 kN, Ɵ = 76.29º, Quadrant – IIIrd , d = 0.56 m, R cuts line ABC at 0.58 m on RHS of A] Q. 10 Level H 6 or Determine the resultant of the force system as shown in Fig. 7M [Ans. R = 20 N, acts along -ve X axis , d = 6 m from A] 3 PRACTISE QUESTION BANK ENGINEERING MECHANICS (ESC-104-CVL) Q. 11 Level H 6 or Determine the magnitude, direction & position of the resultant force for the 8M given three forces acting as shown in Fig. w. r. to ‘O’. [Ans. R = 517.95 N, Ɵ = 58.97º, Quadrant – IIIrd , d = 0.27 m, R cuts at 0.32 m , 0.52 m from point O in x & y direction} Q. 12 Level M 5M 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. Take length AB = BC = CD = 1.8 m. [Ans. P = 9.06 kN] Q. 13 Level M 5M Determine moment of 200 N about point A & about point B for the bracket as shown in Fig. [Ans. MA = 848.53 Nm Anticlockwise, MB = 565.69 Nm Clockwise] 4 PRACTISE QUESTION BANK ENGINEERING MECHANICS (ESC-104-CVL) Q. 14 Level H 6M If the resultant moment about point A is 4800 Nm clockwise, determine the magnitude of F3, if F1 = 300 N & F2 = 400 N. [Ans. F3 = 1592.71 N] Q. 15 Level M 4 to Locate the position of centroid for the shaded lamina as shown in fig. 5M [Ans. X = 6.98 cm , Y = 12.74 cm] Q. 16 Level M 4 to Analyze and locate the position of centroid for the plane lamina as shown 6M in Fig. with respect to point A. [Ans. X = 107.19 mm, Y = 107.41 mm] 5 PRACTISE QUESTION BANK ENGINEERING MECHANICS (ESC-104-CVL) Q. 17 Level M 4 to Locate centroid for the lamina as shown in Fig. with respect to point O. 6M [Ans. X = 46.18 mm , Y = 58.28 mm] Q. 18 Level H 5 to For an I Section shown in Fig., find Ixx & Iyy. 7M [Ans. Ixx = 132.45 X 106 mm4 , Ixx = 11.27 X 106 mm4] Q. 19 Level H 7 to Find the moment of inertia of the shaded portion about the centroidal x-x 8M and y-y axes of the angle section as shown in Fig. [Ans. Ixx = 2.906 X 106 mm4 , Ixx = 1.63 X 106 mm4] 6 PRACTISE QUESTION BANK ENGINEERING MECHANICS (ESC-104-CVL) Q. 20 Level M 5M Determine the moment of inertia of T – Section about centroidal y – y axis as shown in Fig. [Ans. Ixx = 14.66 X 106 mm4] Theory Questions Q. 1 Level L 2M State & explain Law of Parallelogram of forces with sketch. Q. 2 Level L 2M State Varignon’s theorem & principle of transmissibility. Q. 3 Level L 2M Differentiate moment & couple with a sketch. Q. 4 Level L 2M What is Couple? Give its characteristics with sketch. Q. 5 Level L 2M State & explain different types of force system. Q. 6 Level L 2M State Law of polygon of forces. Q. 7 Level L 2M Define Centre of Gravity with it’s SI unit. Q. 8 Level L 2M Define Moment of Inertia with it’s SI unit. 7