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This is NOT a HW question. I'd appreciate an explanation of the following:
I would like to determine the forces acting on a mass set between two springs of constant k on a slope (the slope's angle is alpha). The slope revolves around the vertical axis with angular velocity w and the mass could only move along the slope in between the springs. Please see attachment. Suppose I choose my axes so that my xaxis is parallel to the slope. While calculating the centrifugal and coriolis forces acting on the mass, only the components of omega vertical to my xaxis should be taken under consideration (the cross product would otherwise yield zero). However, aren't there two components of omega vertical to the xaxis (projection of omega on z as well as its projection on y)?
I would like to determine the forces acting on a mass set between two springs of constant k on a slope (the slope's angle is alpha). The slope revolves around the vertical axis with angular velocity w and the mass could only move along the slope in between the springs. Please see attachment. Suppose I choose my axes so that my xaxis is parallel to the slope. While calculating the centrifugal and coriolis forces acting on the mass, only the components of omega vertical to my xaxis should be taken under consideration (the cross product would otherwise yield zero). However, aren't there two components of omega vertical to the xaxis (projection of omega on z as well as its projection on y)?
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