For

the four bar linkage shown in Fig 1, the input link, OA has an

anti-clockwise angular velocity of 17 rad/s. Find the angular velocity of

link BC in rad/s when link OA makes an angle 74 degrees with the

horizontal x axis. The lengths are OA = 100 mm, AB = 260 mm, BC = 180 mm, and

OC = 180 mm.

You should determine your answer graphically. Answers should be given to

1 dp. There is a tolerance of + or – 10 % to allow for errors generated by

using the graphical method.

Gear A has 14 teeth

Gear B has 105 teeth

Gear C has 33 teeth

Gear D has 96 teeth

Gear E has 14 teeth

Gear F has 98 teeth

The single stage epicyclic gearbox considered in previous questions is shown again in Fig 1. The planet gears, B, have 30 teeth, and the sun wheel, D has 88 teeth. The input shaft, A, rotates

at 539 rev/min, in a clockwise direction. The annulus, C is fixed, and

the output is taken from the sun wheel, D.

If the input shaft delivers

3 kW, and the gear box efficiency is 79 %, determine the holding

torque acting on the annulus, C. Treat clockwise torques as positive, and give your answer to 2 dp.

Fig. 1

For the compound epicyclic shown in Figure 1, gear C has 96 teeth, gear B has 58 teeth, and gear D has 54 teeth. Gear B is fixed. Use a tabular method to calculate the overall speed ratio between output and input.

Figure 1

For the epicyclic gear shown in Fig 1, gear B has 24 teeth and gear D has 61 teeth. Shaft D rotates at 214 rev/min, and the case C is allowed to rotate at 89.8 rev/min in the same direction.

Calculate the speed of shaft A in rev/min. Give your answer to 2 dp.

Fig 1

The system parameters are: k

=

7.2 N/m, and

The system parameters are m₁ = 364.4 kg, k₂ = 74.9 kN/m, and m₂ = 31.2 kg. The suspension stiffness, k₁, is made up of two springs with the same spring stiffness, k, which is given in kN/m and is the missing number of the matrix shown in Figure 2 which follows a simple sequence.

Figure 2

The system parameters are:  Force, F =  174sin(46t) N. Both springs have a spring stiffness, k, which are given in kN/m

and are the missing

numbers of their

The system parameters are:  mass, m = 12.1 kg, damping coefficient, c = 10.6 Ns/m, and forcing frequency, ω = 10.8 rad/s. Both springs have the same spring stiffness, k, which is given in N/m and is the missing number of the matrix shown in Figure 2 which follows a simple sequence.

Figure 2