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  3. fig 2a shows the freebody diagram of a mechanical clutch...

Question: fig 2a shows the freebody diagram of a mechanical clutch...

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Fig. 2(a) shows the free-body diagram of a mechanical clutch system modeled as two moment-of- inertias (J1 and J2) with a rotational damper (b), where w1 and w2 are the angular velocity of the driving and driven disks respectively; and the torques T and TProblem 2: Fig. 2(a) shows the free-body diagram of a mechanical clutch system modeled as two moment-of- inertias (J and J2) with a rotational damper (b), where ai and co are the angular velocity of the driving and driven disks respectively, and the torques τ and are specified functions of time 0O CO Co, Fig. 2(a) a. Write the constitutive equation for each of the three elements in the free-body diagram. b. By taking Laplace transform with zero initial conditions, the equations in Part a can be reduced to a pair of equations (Js+ba (s) (s)+bo (s) and (Js+b, (s) bo (s)-71(s). Show that the mechanical clutch system can be represented by the block diagram below, and find Gi(s) and G2(s) in terms of the system parameters (b, Ji and J2) 72(s) Ti(s) G (s) Fig. 2(b) If τ. (s)-0 , find the transfer function a)。(s) / τ(s) in Part b IN1 is now fixed, while J2 rotating at a speed of 1 0 rad/s when 7, is suddenly removed, ie. τίι)-0 Sketch ώ,4) assuming τι (t)-0 and Jyb-0, 1 kg s; give the initial slope, the value of a, at-0.1 second and at steady state (t ->oo) c. d.L are specified functions of time.

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