I am working on a problem where I am trying to find the differential area between two curves how do I do this? 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 theupper edge of the part is given by y1(x), and the shape of the lower edge of the part is given by y2(x).Yı(T) = h(4)*Y2{x) = h(3)*where h= 6.3 m and d = 3.2 my,(x)dmdxdYou 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 inertiafor, dl's. Then you must use an integral to sum up all of the dl's. Distance to dmFor 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 answeras a formula and be sure to show every multiplication sign.How to Think About this Problemr =Differential AreaFor the dm shown, what is the area dA of dm in terms of x, d, h, ơ, y1(x), Y2(x) and dx?For the following formula answers take note of the following things.Be sure to show every multiplication sign• o must be entered as: “sigma"Y1 (x) and y2(x) must be entered as: "y1" and "y2"A Hint About AreadA = 6*h

The distance r is from the rotating axis that is y axis. Thus the elementary part is at a distance x…

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 = X Differential Area For the dm shown, what is the area dA of dm in terms of x, d, h, 0, Y1(x), y2(x) and dx? For the following formula answers take note of the following things. Be sure to show every multiplication sign • o must be entered as: "sigma" Y1(x) and y2(x) must be entered as: "y1" and "y2" A Hint About Area dA = 6*h

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 = X Differential Area For the dm shown, what is the area dA of dm in terms of x, d, h, 0, Y1(x), y2(x) and dx? For the following formula answers take note of the following things. Be sure to show every multiplication sign • o must be entered as: "sigma" Y1(x) and y2(x) must be entered as: "y1" and "y2" A Hint About Area dA = 6*h

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 34P: A surveyor measures the distance across a river that flows straight north by the following method....

See similar textbooks

Similar questions

A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point b(4.0m,1.5m,2.5m) to point e(1.0m,4.5in,0.5m) . Find the scalar components of the fly’s displacement vector and express its displacement vector in vector component form. What is its magnitude?
Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following vector products: AC , (b) AF , (c) DC , (d) A(F+2C) , (e) iB , (f) jB , (g)
A small plane flies 40.0 km ma direction 60 north of east and then flies 30.0 km in a direction 15 north of east. Use the analytical method to find the total distance the plane covers from the starting point, and the geographic direction of its displacement vector. What is its displacement vector?
A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?
Suppose [V]=L3,[]=ML3, and [t]=T . (a) What is the dimension of dV? (b) What is the dimension of dV/dt? (c) What is the dimension of (dV/dt)?
Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF . The three displacement vectors A , B , and C in Figure 2.13 are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Two points in a plane have polar coordinates P1(2.500m,/6) and P2(3.800m,2/3). Determine their Cartesian coordinates and the distance between them in the Cartesian coordinate system. Round the distance to a nearest centimeter.
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
If the polar coordinates of a point are (r,)and its rectangular coordinates are (x,y) , determine the polar coordinates of the following points: (a) (x,y) , (b) (2x,2y) , and (C) (3x,3y) .
A quarter-circle plate has radius R. A triangular section is removed from the circle leaving the shaded shape shown below. The area of the figure can be expressed as some numerical factor times R². Determine the numerical factor with 3 digits. Exception: if the first digit of the numerical factor is 1, include 4 digits on your answer. R R