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For the dm shown, what is the distance r from the axis of rotation (the y axis) to dm in terms of x, d, dx, and h? Enter your answer as a formula and be sure to show every multiplication sign. How to Think About this Problem T = You are trying to find the distance from the v-axis to any arbitraty dm. If you look at the picture above how would you describe

For the dm shown, what is the distance r from the axis of rotation (the y axis) to dm in terms of x, d, dx, and h? Enter your answer as a formula and be sure to show every multiplication sign. How to Think About this Problem T = You are trying to find the distance from the v-axis to any arbitraty dm. If you look at the picture above how would you describe

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I am trying to find the distance from the point of rotation (y-axis) dm I have no idea how to do this or even get started

Distance to dm For the dm shown, what is the distance r from the axis of rotation (the y axis) to dm in terms of x, d, dx, and h? Enter your answer as a formula and be sure to show every multiplication sign. How to Think About this Problem r = You are trying to find the distance from the y-axis to any arbitraty dm. If you look at the picture above, how would you describe the distance from the y-axis to the dm square depicted? What is that distance called? If you are still unsure, you might be overthinking this problem. It is much simplier than you think! Differential Area
Transcribed Image Text:Distance to dm For the dm shown, what is the distance r from the axis of rotation (the y axis) to dm in terms of x, d, dx, and h? Enter your answer as a formula and be sure to show every multiplication sign. How to Think About this Problem r = You are trying to find the distance from the y-axis to any arbitraty dm. If you look at the picture above, how would you describe the distance from the y-axis to the dm square depicted? What is that distance called? If you are still unsure, you might be overthinking this problem. It is much simplier than you think! Differential Area
You are designing a part for a piece of machinery. The part consists of a piece of sheet metal cut as shown below. The shape of the upper edge of the part is given by y₁(x), and the shape of the lower edge of the part is given by y₂(x). Y₁(x) = h ( z ) ³ Y2(x) = h( ² )º where h = 6.3 m and d = 3.2 m Y₁(x) h dm -X/₂(x) dx You decide to find the moment of inertia of the part about that y axis first. The mass density per area for the sheet metal is 3.2 kg/m^2. In order to find the moment of inertia, first you must chop the part into small mass elements, dm's, that you know the moments of inertia for, dl's. Then you must use an integral to sum up all of the dl's.
Transcribed Image Text:You are designing a part for a piece of machinery. The part consists of a piece of sheet metal cut as shown below. The shape of the upper edge of the part is given by y₁(x), and the shape of the lower edge of the part is given by y₂(x). Y₁(x) = h ( z ) ³ Y2(x) = h( ² )º where h = 6.3 m and d = 3.2 m Y₁(x) h dm -X/₂(x) dx You decide to find the moment of inertia of the part about that y axis first. The mass density per area for the sheet metal is 3.2 kg/m^2. In order to find the moment of inertia, first you must chop the part into small mass elements, dm's, that you know the moments of inertia for, dl's. Then you must use an integral to sum up all of the dl's.
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