B 10 pts find the linear acceleration of the rope c 9

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b) ( 10 pts.) Find the linear acceleration of the rope. Mg T S N M M r T S T H mg T H m I )
c) ( 9 pts.) Find the magnitude of tension in the rope pulling on block S.
Problem 2 As shown in the figure, an overhead view of a thin uniform rod of length 0.80 m and mass M =1.0 kg rotating horizontally at angular speed 20 rad/s about an axis through its center. A particle of mass M/3 initially attached to one end is ejected from the rod by a small explosion and travels along a straight path that is perpendicular to the rod at the instant of ejection. The particle's final speed v p (after the ejection) is 11.0 m/s. (Assume M = 1.0 kg) a) ( 6 pts. ) What is the angular momentum (magnitude and direction) of the particle about the center of rod at the moment before the ejection?
b) ( 10 pts.) What is the final angular velocity (magnitude and direction) of the rod?
c) ( 10 pts. ) What is the change in kinetic energy of the system (the rod plus particle)?

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