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TERM 2 2022 FINAL EXAMINATION
ENGG1300: ENGINEERING MECHANICS
QUESTION 1 (15 Marks)
A beam carries loads as shown. Determine the reactions at supports B and C and draw the shear force and bending moment diagrams for the beam in terms of w* . Show the magnitude of all peak values.
QUESTION 2 (15 MARKS)
Determine the support reactions at A and E and the force in members AB, BD and EF of the truss in terms of the load P. Indicate whether the members are in tension or compression.
QUESTION 3 (15 Marks)
The planar frame carries loadings as shown. Determine the reactions at supports A and E and draw the axial force, shear force and bending moment diagrams for the frame. Show the magnitude of all peak values.
QUESTION 4 (15 MARKS)
The rotation of the 0.9-marm OA about O is defined by the relation θ = 0.15t2, where θ is expressed in radians and t is in seconds. Collar B slides along the arm in such away that its distance from O is r = 0.9 − 0.12t2, where r is expressed in meters and t is in seconds. After the arm OA has rotated through 30°, determine the acceleration and velocity of the collar B.
QUESTION 5 (15 MARKS)
The mass of the ball is m = 3.5 kg and the string’s length is L = 1.2 m. The ball is released from rest in position 1. When the string is vertical, it hits the fixed peg shown.
1) Determine the minimum angle θ necessary for the ball to swing to position 2.
2) If the ball is released at the minimum angle θ determined in part 1), what is the tension (force) in the string just before and just after it hits the peg?
QUESTION 6 (25 MARKS)
The flexible band F is attached at E to the rotating sector and leads over the guide pulley. The band has a constant velocity of 4 m/s.
1) Determine the angular velocities of AD and BD for the position shown.
2) For the instant when BD is perpendicular to OA, determine the angular acceleration of BD.
