A fidget spinner of total spinning mass M has 3 balance masses of m positioned at the radius of gyration k about its centre of mass O and spin axis z. The transverse mass moment of inertia of the fidget spinning about O is half of the spin axis mass moment of inertia. Provide detailed qualitative and quantitativel(based on physical reasoning, theory and mathematical modelling/analysis) answers in no more than 10 main body pages (excluding Appendixes) to the following: Balance masses Fidget spinner The fidget spinner is made to perform a precessional motion when spunup to p by tilting it on a finger. Ignore friction and drag. a) The precessional motion seems to be retrograde to the spin direction. Explain why? [15% marks] b) Determine an expression for precession rate as a function of the spin rate, mass and geometry parameters. [35% marks] c) Perform experiments using a fidget spinner at 3 different speeds and take appropriate measurements to prove your answer in b). [20% marks] Assume the fidget spinner has friction and drag. d) Determine the precession rate as a function of time and simulate a solution using any required experiments/measurements to determine friction and drag parameters. [20% marks] e) Validate your solution in d) using experiments and appropriate measurements. [10% marks] Z Any other parameters/assumptions you think appropriate should be stated and explained clearly based on engineering principles.