TERM 2 2023 EXAMINATIONS
ENGG1300: ENGINEERING MECHANICS
Question 1 (16 marks)
For the beam shown below, calculate the support reactions and draw the shear force and bending moment diagrams indicating all the critical values.
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BY = |
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CY = |
Question 2 (18 marks)
For the frame. shown below, a) calculate the support reactions and
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DX = |
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DY = |
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MD = |
b) draw the shear force and bending moment diagrams indicating all the critical values.
Question 3 (16 marks)
For the truss structure shown below, a) find the reactions at A and G
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AX = |
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AY = |
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GY = |
b) determine the forces in members AB, CE and DG, and indicate whether the members are in tension or compression.
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FAB = |
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FCE = |
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FDG = |
Question 4 (16 marks)
Block A has a mass of 30 kg and mass of block B is 10 kg. The coefficient of static and kinetic friction between block B and the inclined surface are μs = 0.12 and μk = 0.10 , respectively. If the blocks are released from rest and blocks B move 2 m up the inclined surface, determine the acceleration and velocity of block A. Assume that all pulleys are frictionless and has no mass and block A only falls vertically under gravity action.
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aA = |
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VA = |
Question 5 (16 marks)
The 5-kg slender rod is suspended from the pin at B. If a 2-kg ball A is thrown at the rod and strikes its centre with a horizontal velocity 10 m/s, determine the velocity of the ball VA and the angular velocity of the rod wrod just after impact. The coefficient of restitution is e = 0.3 .
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VA = |
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wrod = |
Question 6 (18 marks)
For the position shown θ = 30°, point A on the sliding collar has a constant velocity V = 0.3 m/s with corresponding lengthening of the hydraulic cylinder AC. For this same position BD is horizontal and DE is vertical. Determine the velocity of points B and D as well as the angular acceleration of DE at this instant.
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VB = |
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VD = |
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aDE = |
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