DE4101 - Engineering Fundamentals Assignment

Assignment Task

Questions 

1. a) Define the following items and provide their appropriate unit.

b) Convert the following to the mentioned units.

2. a) At a pin-jointed truss system with equilibrium, four forces are acting. Determine the unknown forces P and R and their nature.

b) Use graphical analysis to obtain an equilibrant force for a system with four vectors acting on the same point.

c) What is the difference between speed and velocity?

3. a) A car has travelled between two points with 2496 m distance for 240 seconds. The following figure is the graph of velocity-time of the car during the journey. If maximum velocity of the car is 16 m/s and the magnitude of acceleration is triple of the magnitude of deceleration, calculate the acceleration of the vehicle (in the first phase of travel).

b) A Super Sport Bugatti Cheiron with mass of 1980 kg reaches a top speed of 490 km/hr from the rest travelling 1.5 km distance. Assuming constant acceleration, calculate:

i. the acceleration of the car and the trust force of the car engine.

ii. Calculate the kinetic energy of the car when it has a speed of 360 km/hr

iii. Sketch a free body diagram of the car at a constant speed. Your answer should have FOUR forces.

4. a) A 1000 kg vehicle with a speed 2 m/s  starts climbing at a angle ramp. The speed of the vehicle will increase to 12m/s  using its 800 N engine driving force. Calculate the vertical height of the endpoint of the ramp If the coefficient of friction between the surface of the ramp and the wheel of the vehicle is 0.15.

b) A 70 kg football player is at rest on the field. A 0.5 kg ball is thrown towards the player at a speed of After12m/s  receiving the ball, the player throws it back in the opposite direction at a speed of ∙ What is the speed of the player after the throw.

5. a) The following figure shows a free body diagram of two forces (8 kN and 12 kN respectively) acting on a 19 m long beam. A 6 kN/m UDL acts over a 9 m length as shown. Disregarding the weight of the beam determine the reaction forces at the pin joint A and the roller support B respectively.

b) Describe how the centroid moves if the semicircle hole is filled with the same material as the letter “P” is made by.

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