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2 A straight Roadway has a profile in thex-y plane given by f(x)-4.1x for 0sxy $2mi-10,560...
15. Assume that the surface of a part has a profile given by y = 1.5x10^-6...
15. Assume that the surface of a part has a profile given by y = 1.5x10^-6 in sin(2x/in). Both x and y are in inches. Answer the following questions: a. What is the distance between peaks? b. What is the value of Ra AA over 1 inch length? c. What is the value of Ra RMS over 1 inch length? d. What process may have produced such surface? Use a chart from the internet or elsewhere to support your answer.
2) A particle moves in the x-y plane. Known information about the particle’s motion is given...
2) A particle moves in the x-y plane. Known information about the particle’s motion is given below: ???? = 150?? ft/sec. and at time t = 0, x = 6 ft ?? =5??3+50?? ft a) Derive, as functions of time, the position (x), acceleration (ax), velocity (vy), and acceleration (ay). b) Using your functions, calculate, at time t = 0.25 seconds, the total magnitude of velocity ?? of the particle and the angle ????the velocity vector makes with the x-axis....
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
On a given day, the flow rate F (cars per hour) on a congested roadway is...
On a given day, the flow rate F (cars per hour) on a congested roadway is given by 7. F-10where v is the speed of the traffic in miles per hour. What speed will 16+0.02v maximize the flow rate on the road? Round your answer to the nearest mile per hour. Make sure you show that your answer is a maximum. (7 pts) 11. Set up an integral to find the volume of the solid generated by revolving the region...
3. Consider a thin elastic plane of thickness t with a given in-plane displacement of ſu(x,y)...
3. Consider a thin elastic plane of thickness t with a given in-plane displacement of ſu(x,y) = $dz 5)2 + +d22 (v(x,y) = {2,5)2 +d2 (1) a) Find an expression for all the strain components on this plane. (10 points) b) Find an expression for all the stress components on this plane. (10 points) c) Write down the integral equation to calculate the force on edge A of this plane. (you do not need to solve the integral). (5 points)...
3. Consider a thin elastic plane of thickness t with a given in-plane displacement of ſu(x,y)...
3. Consider a thin elastic plane of thickness t with a given in-plane displacement of ſu(x,y) = $dz 5)2 + +d22 (v(x,y) = {2,5)2 +d2 (1) a) Find an expression for all the strain components on this plane. (10 points) b) Find an expression for all the stress components on this plane. (10 points) c) Write down the integral equation to calculate the force on edge A of this plane. (you do not need to solve the integral). (5 points)...
A force acting on a particle moving in the x-y plane is given by F=2yi+x^2j N. The particle...
A force acting on a particle moving in the x-y plane is given by F=2yi+x^2j N, where x and y are in meters. The particle moves from the origin to a final position having the coordinates x=5 m and y=5 m and shown in the figure above. Calculate the work done by F along (a) OAC, (b) OBC, and (c) OC. (d) Is F a conservative or non-conservative force? Explain?
1. Consider the function y - f(x) defined by Supposing that you are given x, write...
1. Consider the function y - f(x) defined by Supposing that you are given x, write an R expression for y using if state- ments. Add your , then run it to plot the function jf # input x.values <- seq(-2, 2, by - 0.1) expression for y to the following program # for each x calculate y n <- length(x.values) y.values <- rep(0, n) for (i in 1:n) t x <- x.values [i] # your expression for y goes...
4) 20pt) Consider the following vector F: F(x, y) (- y +jx)/ (x2+y')12 1/2 a) Derive an expressio...
4) 20pt) Consider the following vector F: F(x, y) (- y +jx)/ (x2+y')12 1/2 a) Derive an expression for the field lines of the vector function F. b) Use this expression to draw the field lines c) Draw the vector field
4) 20pt) Consider the following vector F: F(x, y) (- y +jx)/ (x2+y')12 1/2 a) Derive an expression for the field lines of the vector function F. b) Use this expression to draw the field lines c) Draw the...
1. Consider the function y f(x) defined by Supposing that you are given x, write an...
1. Consider the function y f(x) defined by Supposing that you are given x, write an R expression for y using if state- ments Add your expression for y to the following program, then run it to plot the function f. # input x,values <-seq(-2, 2, by 0.1) # for each x calculate y n <- length(x.values) y.values <- rep(0, n) for (i in 1 :n) x <- x. values[i] # your expression for y goes here y.values ij <-...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
On a given day, the flow rate F (cars per hour) on a congested roadway is given by 7. F-10where v is the speed of the traffic in miles per hour. What speed will 16+0.02v maximize the flow rate on the road? Round your answer to the nearest mile per hour. Make sure you show that your answer is a maximum. (7 pts) 11. Set up an integral to find the volume of the solid generated by revolving the region...
3. Consider a thin elastic plane of thickness t with a given in-plane displacement of ſu(x,y) = $dz 5)2 + +d22 (v(x,y) = {2,5)2 +d2 (1) a) Find an expression for all the strain components on this plane. (10 points) b) Find an expression for all the stress components on this plane. (10 points) c) Write down the integral equation to calculate the force on edge A of this plane. (you do not need to solve the integral). (5 points)...
3. Consider a thin elastic plane of thickness t with a given in-plane displacement of ſu(x,y) = $dz 5)2 + +d22 (v(x,y) = {2,5)2 +d2 (1) a) Find an expression for all the strain components on this plane. (10 points) b) Find an expression for all the stress components on this plane. (10 points) c) Write down the integral equation to calculate the force on edge A of this plane. (you do not need to solve the integral). (5 points)...
1. Consider the function y - f(x) defined by Supposing that you are given x, write an R expression for y using if state- ments. Add your , then run it to plot the function jf # input x.values <- seq(-2, 2, by - 0.1) expression for y to the following program # for each x calculate y n <- length(x.values) y.values <- rep(0, n) for (i in 1:n) t x <- x.values [i] # your expression for y goes...
4) 20pt) Consider the following vector F: F(x, y) (- y +jx)/ (x2+y')12 1/2 a) Derive an expression for the field lines of the vector function F. b) Use this expression to draw the field lines c) Draw the vector field
4) 20pt) Consider the following vector F: F(x, y) (- y +jx)/ (x2+y')12 1/2 a) Derive an expression for the field lines of the vector function F. b) Use this expression to draw the field lines c) Draw the...
1. Consider the function y f(x) defined by Supposing that you are given x, write an R expression for y using if state- ments Add your expression for y to the following program, then run it to plot the function f. # input x,values <-seq(-2, 2, by 0.1) # for each x calculate y n <- length(x.values) y.values <- rep(0, n) for (i in 1 :n) x <- x. values[i] # your expression for y goes here y.values ij <-...
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