(b) Figure Q5(a) shows a system of three masses m, m and m, which is attached...

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(b) Figure Q5(a) shows a system of three masses m, m and m, which is attached to a tightly extendable string with consistent tension T, fixed at both ends with m = m = m and m = 2m. The length of each string is such that = l = l3 = l. Assuming the tension does not vary with transverse motion, (i) determine the stiffness influence matrix of this system, and, (ii) estimate the natural frequency of this system. [CO2/PO3/C4] (10 marks) mi X1 m2 X2 13 m3 Figure Q5(a) (c) A simple undamped spring-mass system as shown in Figure Q5 (b) is set into motion from rest by giving an initial displacement. Obtain the equation of motion of the system by using x as the generalized coordinate. and find its natural frequency. Given disk of radius, r = 0.1 m, mass, m = 1 kg and spring stiffness, k = 1000 N/m. k (Roll without slip) Figure Q5 (b) x [CO3/PO3/C6] (5 marks) k ww (b) Figure Q5(a) shows a system of three masses m, m and m, which is attached to a tightly extendable string with consistent tension T, fixed at both ends with m = m = m and m = 2m. The length of each string is such that = l = l3 = l. Assuming the tension does not vary with transverse motion, (i) determine the stiffness influence matrix of this system, and, (ii) estimate the natural frequency of this system. [CO2/PO3/C4] (10 marks) mi X1 m2 X2 13 m3 Figure Q5(a) (c) A simple undamped spring-mass system as shown in Figure Q5 (b) is set into motion from rest by giving an initial displacement. Obtain the equation of motion of the system by using x as the generalized coordinate. and find its natural frequency. Given disk of radius, r = 0.1 m, mass, m = 1 kg and spring stiffness, k = 1000 N/m. k (Roll without slip) Figure Q5 (b) x [CO3/PO3/C6] (5 marks) k ww