Question 1
A piston, connecting rod and crank mechanism is shown in diagram Figure 1. The crank rotates at a constant velocity of \( 300 \mathrm{rad} / \mathrm{s} \). Draw and calculate:
a) Space Diagram (Scale: \( 1 \mathrm{~cm}: 20 \mathrm{~mm} \) )
b) Velocity Diagram (Scale: \( 1 \mathrm{~cm}: 2 \mathrm{~m} / \mathrm{s} \) )
c) Acceleration Diagram (Scale: \( 1 \mathrm{~cm}: 500 \mathrm{~m} / \mathrm{s}^{2} \) )
[4 marks]
[8 marks]
d) The acceleration of the piston
[8 marks]
e) The angular acceleration of link BC.
[2 marks]
[3 marks]
Figure 1
[25 MARKS]
Question 2
A shaft has 4 discs \( A, B, C \) and \( D \) along its length 100 mm apart. A mass of 0.8 kg is placed on \( B \) at a radius of 20 mm . A mass of 2 kg is placed on C at a radius of 30 mm and rotated \( \mathbf{1 2 0}^{\circ} \) from the mass on B . Find the masses to be placed on A and D at a radius of 25 mm that will produce total balance. Draw;
a) Free Body Diagram
[3 marks]
b) MrI table
[5 marks]
c) Mrl polygon (Scale: \( 1 \mathrm{~cm}: 0.001 \mathrm{kgm}^{2} \) )
[8 marks]
d) Mr polygon (Scale: \( 1 \mathrm{~cm}: 0.005 \mathrm{kgm} \) )
[9 marks]
[25 MARKS]