Calculate the angle of heel, Mechanical Engineering

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a) Derive a mathematical expression for stability of an automobile while accelarating in a curved path?

b) A motorcycle and its rider together have a mass of 250Kg and their centre of gravity is 0.6m above the ground level. Each road wheel is of 0.62m diameter and has a moment of inertia 1 Kg-m2. The rotating parts of the engine have a moment of inertia 0.18Kg-m2. The engine moves at 5.5 times. The speed of the road wheels and in the same sense. Calculate the angle of heel require when the motor cycle is rounding a curve of 30m. Radius at a speed of 55Km/hr.


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