3. Consider a rigid triangular frame with three point masses: an m located at TA =...

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3. Consider a rigid triangular frame with three point masses: an m located at TA = a + 2ay az, a 2m located at FB = ax - a az, and a 3m located at rc = ax + a2 relative to the center of mass. Use the geometric meaning of the dot and cross products to verify that the object is a pancake object. Find a rotation axis through its center of mass that is perpendicular to the plane of the object, and calculate the moment of inertia for rotations of the pancake object around this axis. 3. Consider a rigid triangular frame with three point masses: an m located at TA = a + 2ay az, a 2m located at FB = ax - a az, and a 3m located at rc = ax + a2 relative to the center of mass. Use the geometric meaning of the dot and cross products to verify that the object is a pancake object. Find a rotation axis through its center of mass that is perpendicular to the plane of the object, and calculate the moment of inertia for rotations of the pancake object around this axis.

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This question entails several steps calculating the center of mass showing the object is a pancake object finding the rotation axis perpendicular to i... View the full answer