Question

In: Mechanical Engineering

5) i) A two axes of an x-y positioning table are each driven by a stepping...

5) i) A two axes of an x-y positioning table are each driven by a stepping motor connected to a lead screw with a 10:1 gear reduction. The number of step angles on each stepping motor is 25. Each lead screw has a pitch = 7.5 mm and provides an axis range = 300 mm. There are 16 bits in each binary register used by the controller to store position data for two axes. (a) What is the control resolution of each axis? (b) What are the required rotational speeds and corresponding pulse train frequencies of each stepping motor in order to drive the table at 600 mm/min in a straight line from point (25,25) to point (100,150)?      (10)

ii) The designer of a polar configuration robot is considering a portion of the manipulator consisting of a rotational joint connected to its output link. The output link is 25 in long and the rotational joint has a range of 75 degrees. The accuracy of the joint-link combination, expressed as a linear measure at the end of the link which results from rotating the joint, is specified as 0.030 in. The mechanical inaccuracies of the joint result in a repeatability error= +-0.03 degrees of rotation. It is assumed that the link is perfectly rigid, so there is no additional error due to deflection. (a) Show that the specified accuracy can be achieved, given the repeatability error. (b) Determine the minimum number of bits required in the binary register of the robot’s control memory to achieve the specified accuracy.    (10)

Solutions

Expert Solution

samet mamat answered 2 years ago
Next > < Previous

Related Solutions

The drawing shows two situations in which charges are placed on the x and y axes....
The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 6.20 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin. (in units of N/C please)
Sketch the region of continuity for f (x; y) on a set of axes and sketch...
Sketch the region of continuity for f (x; y) on a set of axes and sketch the region of continuity for df/dy (x. y) on a separate set of axes. Apply Picard’s Theorem to determine whether the solution exists and whether it is unique. a) y'  = 2x2y + 3xy2 ; y(1) = 2 b) y' = sqrt(2x - 3y) ; y(3) = 2
Consider a region R bound by the coordinate axes and y = ( 9 + x...
Consider a region R bound by the coordinate axes and y = ( 9 + x 2 ) − 1 2 on 0 ≤ x ≤ 4. a. Find the area of R. b. Suppose R is revolved about the x-axis to form a solid. Find the volume of the solid. c. Suppose R is revolved about the y-axis to form a solid. Find the volume of the solid.
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y)...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y) differences is approximately normally distributed. A claim is made that the mean difference (x−y)(x-y) is not equal to -23.5. x 60 62 46 45 37 45 46 46 y 79 77 75 86 83 71 76 77 For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y)...
The two data sets in the table below are dependent random samples. The population of (x−y)(x-y) differences is approximately normally distributed. A claim is made that the mean difference (x−y)(x-y) is greater than 17.9. x 67 79 68 52 56 78 78 78 y 30 50 32 49 31 51 37 35 For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t =" before your answers. Round each...
Use the data shown in the table. Replace each x-value and y-value in the table with...
Use the data shown in the table. Replace each x-value and y-value in the table with its logarithm. Find the equation of the regression line for the transformed data. Then construct a scatter plot of left parenthesis log x comma log y right parenthesis(log x,logy) and sketch the regression line with it. What do you notice? x 1 2 3 4 5 6 7 8 y 828828 353353 174174 103103 121121 6464 6969 3232 Find the equation of the regression...
A Cartesian vector can be thought of as representing magnitudes along the x-, y-, and z-axes...
A Cartesian vector can be thought of as representing magnitudes along the x-, y-, and z-axes multiplied by a unit vector (i, j, k). For such cases, the dot product of two of these fectors {a} and {b} corresponds to the product of their magnitudes and the cosine of the angle between their tails as in {a}⋅ {b} = abcos(theta) The cross product yields another vector, {c} = {a} × {b} , which is perpendicular to the plane defined by...
Q1: A sample with two variables (x and y) is given in the table. According to...
Q1: A sample with two variables (x and y) is given in the table. According to the sample, please develop an excel spreadsheet to calculate the missing values given in the table of “summary output” attached below. The excel spreadsheet needs to be submitted together with your assignment. Note: use “data analysis toolpak” to check your answers, but calculations, equations and steps should be done for each "?" value x y 1.0 5.2 1.5 7.2 2.0 5.5 2.5 4.9 3.0...
The table below shows the production possibilities of two countries, X and Y, of two goods,...
The table below shows the production possibilities of two countries, X and Y, of two goods, A and B, given a fixed amount of resources and particular technology. (For country X: a worker can produce per month 78A or 26B. For country Y a worker can produce per month Y: 96A or 48B). A B X 78 26 Y 96 48 1. Which country has the absolute advantage in A, and which country has the absolute advantage in B? (1...
Define a joint distribution for two random variables (X,Y) such that (i) Cov(X,Y)=0 and (ii) E[Y...
Define a joint distribution for two random variables (X,Y) such that (i) Cov(X,Y)=0 and (ii) E[Y I X] is not equal to E[Y]. How do I define a joint distribution that satisfies both (i) and (ii) above at the same time? Please give me an example and explanation of how it meets the two conditions.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT