Certain elements of an in-refrigerator ice-cube maker are shown in the fi gure. (A cube

Chapter 3, Problem 3/58

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Certain elements of an in-refrigerator ice-cube maker are shown in the figure. (A “cube” has the

form of a cylindrical segment!) Once the cube freezes and a small heater (not shown) forms a thin film of water between the cube and supporting surface, a motor rotates the ejector arm OA to remove the cube. If there are eight cubes and eight arms, determine the required torque M as a function of \(\theta\) . The mass of eight cubes is 0.25 kg, and the center of-mass distance \(\bar{r}=0.55 r\). Neglect friction, and assume that the resultant of the distributed normal force acting on the cube passes through point O.

                                                             

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