ASSGINMENT SEMM2223 GYROSCOPE QUESTION 3 (15 marks) Figure Q3 shows a boat has an engine with mass moment of inertia is \( 100 \mathrm{kgm}^{2} \) and rotates in clockwise direction when viewed from rear end. The engine is mounted and fastened to the boat by means of bolts and nuts. Each of bolts has the strength of \( 5 \mathrm{kN} \) for shear force and \( 10 \mathrm{kN} \) for axial force. Determine the maximum rotating speed of the engine so that none of the bolts fail and state the effect on the boat when it makes the following motion. i. The boat is subjected to pitching motion with the fore-end raise at maximum angular displacement of \( \pm 20^{\circ} \) and the period of oscillation is 4 seconds. ii. The boat is turning right at a radius of curvature of \( 100 \mathrm{~m} \) at a speed of 60 \( \mathrm{km} / \mathrm{hr} \). Figure Q3 \( \sim \) End of Question
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