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4. (Rigid body rotation) A blob is made from four small objects of mass m attached...

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4. (Rigid body rotation) A blob is made from four small objects of mass m attached together with massless bars of length l. The angle made by the bars is 45 degrees. A Identify the principle axes for this blob. B Using a coordinate system, the body frame, that corresponds to those axes, determine the intertia tensor for rotation about the center point. C Suppose that the blob is floating in space, with no torques applied, and is rotating with some arbitrary initial angular velocity, w = (wz, wy, wz), as measured in the body frame. Determine the set of differential equations that describe the time evolution of the three components

4. (Rigid body rotation) A blob is made from four small objects of mass m attached together with massless bars of length l. The angle made by the bars is 45 degrees. A Identify the principle axes for this blob. B Using a coordinate system, the body frame, that corresponds to those axes, determine the intertia tensor for rotation about the center point. C Suppose that the blob is floating in space, with no torques applied, and is rotating with some arbitrary initial angular velocity, w = (wz, wy, wz), as measured in the body frame. Determine the set of differential equations that describe the time evolution of the three components

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