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Calculate the moment of inertia of each wheel

Assignment Help Mechanical Engineering
Reference no: EM132824030

F/615/1482 Mechanical Principles - Pearson BTEC Level 4 Higher National Certificate in Engineering

Dynamic Mechanical Systems

Task 1
You are required to submit a well written detailed explanation of the energy changes that occur for the following systems. This must include initial and final energies and where any losses may occur:

a) A block 50kg starting at rest sliding down a slope of 1 in 7 (tan) for 50m, with a dynamic friction coefficient of 0.023.

b) A 200kg cylinder rolling freely down a slope from rest of 1 in 30 (sine) for 20m. Indicate in your explanation why the cylinder rolls including whether friction is static of dynamic.

Task 2
The mechanism below has a crank that revolves clockwise at A with an angular velocity of 2400 rev/min.

1307_figure.jpg

Using vector diagrams, determine:
a. The linear velocity of the piston and the angular velocity of the link 8C about 8.
b. The acceleration of the piston and the angular acceleration of the link BC about B.
c. Using trigonometry, confirm your results for the velocity and acceleration in parts (i) and (ii). Task 3
A motorcycle and rider travel around a right-hand bend of radius 25m at 60 km/h.

The wheels each have a mass of A kg and radius of gyration of 300mm, the outer diameter of the wheel is 500mm.

a. Calculate the angular velocity of each wheel.

b. Calculate the moment of inertia of each wheel.

c. Calculate the magnitude of gyroscopic torques produced on the bike.

d. Using research explain the effect of gyroscopic torque on the motorbike.

Verified Expert

There are two problems with each sub question included. Task 1 and Task 3 are solved in complete with details of the figures and corresponding forces acting on the same. The solutions are provided with focus on the calculations of each of the force members and accordingly it is computed with. The calculations are shown in appropriate units. References are given as well,

Reference no: EM132824030

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