Assignment 2 (30 Marks)

Problem 1 (7.5 Marks)

The diagram in Figure 1 shows three masses on a rotor at

• M1 kg @ 45° at a 60-mm radius

• M2 kg @ 115° at a 60-mm radius

• M3 kg @ 315° at a 60-mm radius

Determine the mass and its’ angle to be added on the rotor in the plane R at a 70mm radius to balance the rotor, considering both static and dynamic balancing.

Determine the mass and its’ angle to be added on the rotor in the plane L at a 100mm radius to balance the rotor, considering both static and dynamic balancing.

Demonstrate the solution using both,

(i) the graphical technique; and

(ii) the analytic technique

NOTE: Each student has their own values for L1, L2, L3, R1, R2, R3 M1, M2 and M3 which are given in Assignment 2 Appendix in CloudDeakin

Figure 1

Problem 2 (7.5

For the planetary gear train shown in Figure 2, the arm H1 is connected to gear 2 and rotates around the input axis. Gear 1 and 3 are fixed to the input axle plane. Gears 1 and 4, 3 and 6, are fixed together respectively.

Determine the speed and direction of the output arm H2 if the input speed of H1 is ? rpm CCW.

N6

NOTE: Each student has their own values for ?, N1, N2, N5 and that are in Assignment 2 Appendix in CloudDeakin

Input

Output

Figure 2

Problem 3 (7.5

Two pulleys, one D1 mm diameter and the other D2 mm diameter, are on parallel shafts L m apart as shown in Fig 3

Determine:

a) the length of the belt required and the angle of contact between the belt and each pulley; and

b) what power can be transmitted to N2 by the belt when the larger pulley N1 rotates at 1000 r.p.m., if the maximum permissible tension in the belt is 3 kN, and the coefficient of friction between the belt and the pulley is 0.30?

NOTE: Each student has their own values for D1, D2, and L that are in Assignment 2 Appendix in CloudDeakin

Figure 3

Problem 4 (7.5

A flywheel system (overrunning clutch) is depicted in the Fig. 4.

Two coaxial shafts (A and B) are connected by a single-plate clutch of internal radius 45 mm and external radius 135 mm, with both sides of the plate being used. The coefficient of friction is assumed as 0.3. Assume the pressure is (a) uniform, and (b) inversely proportional to radius.

Determine what the required spring force is to enable the maximum power transmission of 5.5 kW at an angular speed of 900 revs/min?

Figure 4

Problem 1 (7.5 Marks)

The diagram in Figure 1 shows three masses on a rotor at

• M1 kg @ 45° at a 60-mm radius

• M2 kg @ 115° at a 60-mm radius

• M3 kg @ 315° at a 60-mm radius

Determine the mass and its’ angle to be added on the rotor in the plane R at a 70mm radius to balance the rotor, considering both static and dynamic balancing.

Determine the mass and its’ angle to be added on the rotor in the plane L at a 100mm radius to balance the rotor, considering both static and dynamic balancing.

Demonstrate the solution using both,

(i) the graphical technique; and

(ii) the analytic technique

NOTE: Each student has their own values for L1, L2, L3, R1, R2, R3 M1, M2 and M3 which are given in Assignment 2 Appendix in CloudDeakin

Figure 1

Problem 2 (7.5

For the planetary gear train shown in Figure 2, the arm H1 is connected to gear 2 and rotates around the input axis. Gear 1 and 3 are fixed to the input axle plane. Gears 1 and 4, 3 and 6, are fixed together respectively.

Determine the speed and direction of the output arm H2 if the input speed of H1 is ? rpm CCW.

N6

NOTE: Each student has their own values for ?, N1, N2, N5 and that are in Assignment 2 Appendix in CloudDeakin

Input

Output

Figure 2

Problem 3 (7.5

Two pulleys, one D1 mm diameter and the other D2 mm diameter, are on parallel shafts L m apart as shown in Fig 3

Determine:

a) the length of the belt required and the angle of contact between the belt and each pulley; and

b) what power can be transmitted to N2 by the belt when the larger pulley N1 rotates at 1000 r.p.m., if the maximum permissible tension in the belt is 3 kN, and the coefficient of friction between the belt and the pulley is 0.30?

NOTE: Each student has their own values for D1, D2, and L that are in Assignment 2 Appendix in CloudDeakin

Figure 3

Problem 4 (7.5

A flywheel system (overrunning clutch) is depicted in the Fig. 4.

Two coaxial shafts (A and B) are connected by a single-plate clutch of internal radius 45 mm and external radius 135 mm, with both sides of the plate being used. The coefficient of friction is assumed as 0.3. Assume the pressure is (a) uniform, and (b) inversely proportional to radius.

Determine what the required spring force is to enable the maximum power transmission of 5.5 kW at an angular speed of 900 revs/min?

Figure 4

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