A flywheel of mass m and moment of inertia Ja is suspended in the horizontal plane...

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A flywheel of mass m and moment of inertia Ja is suspended in the horizontal plane by 3-wires of length L equally spaced around a circle of radius R as shown in Fig. 1a. a Show that the differential equation of motion is: mgR² Ja0+ -0 =0 L b Find the response of the system for initial displacement of 0= 0.1 rad and initial velocity of 0 0 rad/s, when Ja= 100 kg.m², m = 200 kg, R= 1 m, L= 1.5 m and g = 9.81 m/s². c- Now assume we are interested to measure the moment of inertia of a car engine with mass of 300 kg (as shown in Fig. 1b) using the above system. If the period of oscillation of the whole system is measured to be 2 s, determine the moment of inertia of car engine. R Figure la www Figure 1b A flywheel of mass m and moment of inertia Ja is suspended in the horizontal plane by 3-wires of length L equally spaced around a circle of radius R as shown in Fig. 1a. a Show that the differential equation of motion is: mgR² Ja0+ -0 =0 L b Find the response of the system for initial displacement of 0= 0.1 rad and initial velocity of 0 0 rad/s, when Ja= 100 kg.m², m = 200 kg, R= 1 m, L= 1.5 m and g = 9.81 m/s². c- Now assume we are interested to measure the moment of inertia of a car engine with mass of 300 kg (as shown in Fig. 1b) using the above system. If the period of oscillation of the whole system is measured to be 2 s, determine the moment of inertia of car engine. R Figure la www Figure 1b

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a Summing moments about the center of rotation Jd 3mgl si... View the full answer