A rotating system consists of four particles, each of mass M= 0.75 kg, fixed at distances from the rotation axis that are all integer multiples of the length L = 0.29 m. Part (a) Enter an expression, in terms of the quantities defined in the problem, for the moment of inertia of the system when each particle is fix |at distance L from the rotation axis. Part (b) Calculate, in units of kilogram meters squared, the moment of inertia of the system when each particle is fixed at distance L from the rotation axis. Part (c) Enter an expression, in terms of the quantities defined in the problem, for the moment of inertia of the system when three of the particl are fixed at distance L from the rotation axis and the fourth is fixed on the rotation axis. Part (d) Calculate, in units of kilogram meters squared, the moment of inertia of the system when three of the particles are fixed at distance L f the rotation axis and the fourth is fixed on the rotation axis. Part (e) Enter an expression, in terms of the quantities defined in the problem, for the moment of inertia of the system when two of the particle: are fixed on the rotation axis and the other two are fixed at distances L and 2L from the rotation axis. Part (f) Calculate, in units of kilogram meters squared, the moment of inertia of the system when two of the particles are fixed on the rotation a and the other two are fixed at distances L and 2L from the rotation axis. Part (g) Enter an expression, in terms of the quantities defined in the problem, for the moment of inertia of the system when two of the particle are fixed at distance 2L from the rotation axis, one is fixed at distance L from the axis, and one is fixed on the axis. Part (h) Calculate, in units of kilogram meters squared, the moment of inertia of the system when two of the particles are fixed at distance 2L f the rotation axis, one is fixed at distance I from the axis, and one is fixed on the axis.

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