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section 8 questions-1 (11.pdf - Adobe Reader File Edit View Window Help Open S A Type here - ✓ B a) [15 marks] stationary bearing T(t) shaft A viscous fluid A cylinder A rotates about its axis inside a bearing. The cylinder is hollow with all its mass concentrated in a thin shell around its circumference. The small gap between the cylinder and the bearing contains a viscous fluid. A long, thin shaft connects the cylinder to a flywheel B. The flywheel is solid and its mass is uniformly distributed within it. A time- varying tortional moment T(t) is applied to the flywheel causing the system to rotate. The shaft strains elastically due to this motion. Develop the state space equations of motion for both the cylinder and the flywheel. Assume that the damping force due the bearing fluid is proportional to angular velocity. search W X P 82°F 30 Tools | Fill & Sign | Comment 4:25 PM

section 8 questions-1 (11.pdf - Adobe Reader File Edit View Window Help Open ASVG6. A Type here - search MERTZW TT IMITI IN LA VIV no 40+ ** - 380V/8 uj nuvi vi LIÊN HVN TỬ LEIN AN TRỪ 222242307 SƯ MILLIV/LIE, varying tortional moment T(1) is applied to the flywheel causing the system to rotate. The shaft strains clastically due to this motion. Develop the state space equations of motion for both the cylinder and the flywheel. Assume that the damping force due the bearing fluid is proportional to angular velocity. The equations should be expressed using only of the following variables: t-time 0A and B - the angular degrees of freedom of the cylinder and flywheel OA and B - the angular velocities of the cylinder and flywheel ma and RA - the mass and radius of the cylinder m³ and RB - the mass and radius of the flywheel b- the damping coefficient of the bearing fluid k - the torsional spring coefficient of the elastic shaft the tortional moment T O H C 82°F Tools | Fill & Sign | Comment 30 4:25 PM

section 8 questions-1 (11.pdf - Adobe Reader File Edit View Window Help Open D-50 S A Type here - search 40+ b) [10 marks] L A S Collars A and B slide along the fixed rods and are connected by a cord of length L. If collar A has a velocity v₁ = x to the right, express the velocity vgs of B in terms of x, vand S. W 82°F 30 ✓ 3 B 45° Tools | Fill & Sign | Comment 4:25 PM