Q2. An experiment is set up as shown in figure Q2 to measure the moment of inertia of a circular flywheel. The mass of 3

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Q2 An Experiment Is Set Up As Shown In Figure Q2 To Measure The Moment Of Inertia Of A Circular Flywheel The Mass Of 3 1 (64.54 KiB) Viewed 16 times

Q2. An experiment is set up as shown in figure Q2 to measure the moment of inertia of a circular flywheel. The mass of 30 kg is attached to a light inextensible string which is wrapped around the outer diameter of the flywheel which has a radius of 0.4 m. The mass is released when the system is at rest and drops 5.4 m in a time of 3 seconds. Friction in the bearings can be neglected. Flywheel Bearing 30 kg Figure Q2: A system for determining the moment of inertia of a flywheel. a) Considering the kinematics of the 30 kg mass, calculate the downwards acceleration of the 20 kg mass from the information given. [4 marks] b) Draw free body diagrams for the 30 kg mass and the flywheel labelling all external forces applied. [6 marks] c) Determine the equation of motion of the 30 kg mass and the angular equation of motion for the flywheel and generate a constraint equation to relate the angular motion of the flywheel to the translational motion of the 30 kg mass. Hence, or otherwise, determine the moment of inertia of the flywheel. [8 marks] d) Determine the vertical reaction at the bearing of the flywheel under these conditions given that the moment of inertia, I, of a circular flywheel of mass m and radius r about its axis is given by, I = mr² [7 marks]