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Q1— Section header —
1.1Newton's hird law
1.2Hooke's aw
1.3Stress
1.4Pascal's law
1.510
Q2— Section header —
2.1An aircraft can fly at a velocity of 280 km/h with no wind interference. It must fly to an airport 275 km North of its current position. A orth west erly wind
2.1.1Calculate the direction in which the aircraft must fly to get to the airport.
2.1.2
2.2
2.2.1The height that the ball will reach.
2.2.2Th e time it will tak for the ball to reach it s highest point.
Q3— Section header —
3.1An axle rotates at a velocity 15 r/s, and accelerate uniformly to a velocity of 525 r/s in 6 s.
3.1.1Calculate the angular acceleration of the axle.
3.1.2
3.2An in block weighs 775 kg. It is hoisted using
3.2.1Determine the torque exerted by the en in block on the drum.
3.2.2
Q4— Section header —
4.1A bus with a mass of 5 500 kg travels at a speed of 75 km/h.
4.1.1Calculate the kinetic energy of the bus.
4.1.2Calculate the force required when the bus brake to come to state of rest over 55 m.
4.2A bucket of cement with a mass of 35 kg hoisted up to a height of 45 m. It accelerate with an acceleration of 1,6 m/s
4.2.1Calculate the force needed to accelerate the bucket upwards.
4.2.2
4.3
4.3.1Calculate the frictional force.
4.3.2
5.1A light beam is loaded as shown in FIGURE 1. FIGURE 1 By referring to FIGURE 1 determine the following
5.1.1The reaction forces B and D.
5.1.2Draw the shear force diagram.
5.2Calculate the coordinates of the centroid for the lamina shown in FIGURE 2. (7\ FIGURE 2 [1 15070434
6.1A mass loaded accumulator has a ram diameter of 450 mm and a mass of 650 kg. A hydraulic pressure of 1,2 MPa is required as constant pressure in the hydraulic system. The ram moves through a distance of 300 mm in 5 s
6.1.1The additional mass required to maintain the working hydraulic pressur e.
6.1.2The work done by the ram in the working stroke.
6.1.3The power transmitted by the ram during the working stroke. (2\
6.2The plun er of a three cylinder water pump has a diameter of 75 mm and a stroke length of 225 mm. The pressure during the stroke is 775 kPa. Calculate:
6.2.1The power required to drive the pump at 175 r/m if the efficiency is 85%.
6.2.2The volume of water delivered per minute in lit es, if there is a slip of 4% (3\
6.3A hydraulic press has a ram diameter of 85 mm. The plun er diameter is 15 mm with a stroke of 30 mm. The me chanical advantage on the le
6.3.1The force needed to lift a mass of 3,5 ton if the efficiency is 75%.
6.3.2The number of strokes needed to lift the load 150 mm if there is a slip of 6%.
7.1A steel rod with a length of 4,7 m increases in length by 0,8 mm when a load of 650 kg is added.
7.1.1Calculate the t ensile stress on the rod.
7.1.2
7.2The following readings were obtained during a tensile test: The original diameter at the gauge length section = 18 mm. Gauge length = 75 mm. The gauge length was 86,84 mm and the neck diameter was 12,16 mm at
0.0325 0,0465 0,0575
7.2.1Draw a stress strain graph for these values. (Tip: 10 mm = 10 MPa and 10 mm = 50 10 (6\
7.2.2Determine Young' s modul s of elasticity with the aid of the graph. (2\
7.2.3Determine the percentage reduction in area. (2\ [1 15070434
Q8— Section header —
8.1A copper ball has a volume of 0,685 at a temperature of 289 K. If the temperature rises to 347 K calculate the increase in volume of the copper ball. (2\
8.2
8.3
8.4