3 A mass of 0.3 kg is suspended from a spring of stiffness 200 Nm ....

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3 A mass of 0.3 kg is suspended from a spring of stiffness 200 Nm . The mass is displaced by 10 mm from its equilibrium position and released, as shown in Figure 1. For the resulting vibration, calculate: (a) (i) the frequency of vibration; (ii) the maximum velocity of the mass during the vibration; (iii) the maximum acceleration of the mass during the vibration; (iv) the mass required to produce double the maximum velocity calculated in (ii) using the same spring and initial deflection. (b) Plot a graph of acceleration, a against displacement, x for a domain of x = -10 mm to x = +10 mm 0.3 kg 0.3 kg 0.3 kg 200 Nm Figure 1 10 mm Equilibrium position 10 mm 3 A mass of 0.3 kg is suspended from a spring of stiffness 200 Nm . The mass is displaced by 10 mm from its equilibrium position and released, as shown in Figure 1. For the resulting vibration, calculate: (a) (i) the frequency of vibration; (ii) the maximum velocity of the mass during the vibration; (iii) the maximum acceleration of the mass during the vibration; (iv) the mass required to produce double the maximum velocity calculated in (ii) using the same spring and initial deflection. (b) Plot a graph of acceleration, a against displacement, x for a domain of x = -10 mm to x = +10 mm 0.3 kg 0.3 kg 0.3 kg 200 Nm Figure 1 10 mm Equilibrium position 10 mm