![3 Jiguull A line segment with the end points: A[1, 1, 0] and B[6, 2, O] lying in the xy-plane. Rotating the line about the x-](http://img.homeworklib.com/questions/c3b640e0-9fea-11eb-afa2-95be0b5112b5.png?x-oss-process=image/resize,w_560)
Homework Answers
Ans option d(6,1.732,1)
Explanation
The parametric equation can be written as
x=1+(6-1)*t =1+5t
y=1+(2-1)*t =1+t
z=0
now rotation about x axis about 30 degrees is given as
[1+5t 1 + t 0 1][1 0 0 0;0 cos30 sin30 0;0 -sin30 cos30 0;0 0 0 1] (Homogeneous transformation matrix about x axis)
=[1+5t (1+t)cos30 (1+t)sin30 1]
at t=1 gives
[6 1.732 1 1 ]
thus x,z is given as (6,1.732,1) Ans
Add Answer to:
3 Jiguull A line segment with the end points: A[1, 1, 0] and B[6, 2, O]...
2. Consider the line segment & the zz-plane given by cone C by rotating the line about the z-axis...
2. Consider the line segment & the zz-plane given by cone C by rotating the line about the z-axis. fromz 0 to z4. We can then obtain a 2 (a) 4 pts Find a parametric representation r(u, v) for C, including bounds for u and v. (b) (4 pts Calculate and simplify r x rl (c) 3 pts Use a double integral to find the surface area of C
2. Consider the line segment & the zz-plane given by cone...
problem 3 pls Problem 3. Consider the curve {> 1, y = 1/x}. Compute the length...
problem 3 pls
Problem 3. Consider the curve {> 1, y = 1/x}. Compute the length of the part of this curve lying to the left of the line x = a for any a > 1. Show that the length of the whole curve is thus infinite. Compute the area of the surface obtained by rotating this curve about about the x axis by computing the corresponding improper integral; it should be infinite. What is the area of the...
Question 4 (20 points) Moment about a Line Find the moment about line segment OA caused...
Question 4 (20 points) Moment about a Line Find the moment about line segment OA caused by the applied force F. Note: Point A is located in the x-z plane; Point B is located in the x-y plane F=< -10, 30, -8 > KN 2 m
a) Using the position vector from A toC, calculate the moment about segment AB due...
a) Using the position vector from A to C, calculate the moment about segment AB due to
force Fb) Using the position vector from B to C, calculate the moment about segment AB due to
force FThe general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R...
where c> 0 ro The electric field in the xy-plane due to an infinite line of...
where c> 0 ro The electric field in the xy-plane due to an infinite line of charge along the z-axis is a gradient field with a potential function V(x,y)=c In Vx2 + y2 is a constant and ro is a reference distance at which the potential is assumed to be 0. Use this information to answer parts a through c. wherer= x2 + y2. Rewrite E in terms b. Show that the electric field at a point in the xy-plane...
(1) Evaluate the following line integrals in R3. r +yds for C the line segment from (0, 1,0) to (1, 0,0) for C the line segment from (0,1,1) to (1,0,1). for C the circle (0, a cos t, a sin t) for O (...
(1) Evaluate the following line integrals in R3. r +yds for C the line segment from (0, 1,0) to (1, 0,0) for C the line segment from (0,1,1) to (1,0,1). for C the circle (0, a cos t, a sin t) for O (iv) 2π, with a a positive constant. t for C the curve (cost +tsint,sint tcost, 0) for Osts v3 (Hint for (i): use the parametrization (z, y, z) = (t, 1-t, 0) for 0 1) t
(1)...
Using the position vector from A to C, calculate the moment about segment A B due to force F.
The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q ) can be calculated using the scalar triple product,MPQ=uPQ · r × Fwhere r is a position vector from any point on the line through P...
Two points, A and B, are terminal ends of a line-segment (place horizontally). Point X is...
Two points, A and B, are terminal ends of a line-segment (place horizontally). Point X is above the line a distance 23- cm away from point A (nearer to A than B). Point Z is above the line a distance 12-cm away from point B (nearer to B than A). The point T is below the line. As such, there are line segments XT and ZT each of which crosses the line segment AB. The distance from point X to...
Carefully draw the line segment PQ that connects P=(4, 5, -3) and Q=(0, -4, 2) ....
Carefully draw the line segment PQ that connects P=(4, 5, -3) and Q=(0, -4, 2) . Include dotted vertical lines from the xy-plane to P and Q to show perspective. Find the distance between P and Q, from the previous problem. Then find the coordinates of the midpoint of the line segment PQ . Let u= -3i+5j+7k and v= 10i+j-2k . Show that u × v is orthogonal to the vector v .
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2...
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xy-plane ? The sphere intersects the xz-plane ? The sphere intersects the yz-plane ? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two...
2. Consider the line segment & the zz-plane given by cone C by rotating the line about the z-axis. fromz 0 to z4. We can then obtain a 2 (a) 4 pts Find a parametric representation r(u, v) for C, including bounds for u and v. (b) (4 pts Calculate and simplify r x rl (c) 3 pts Use a double integral to find the surface area of C
2. Consider the line segment & the zz-plane given by cone...
problem 3 pls
Problem 3. Consider the curve {> 1, y = 1/x}. Compute the length of the part of this curve lying to the left of the line x = a for any a > 1. Show that the length of the whole curve is thus infinite. Compute the area of the surface obtained by rotating this curve about about the x axis by computing the corresponding improper integral; it should be infinite. What is the area of the...
Question 4 (20 points) Moment about a Line Find the moment about line segment OA caused by the applied force F. Note: Point A is located in the x-z plane; Point B is located in the x-y plane F=< -10, 30, -8 > KN 2 m
a) Using the position vector from A to C, calculate the moment about segment AB due to
force Fb) Using the position vector from B to C, calculate the moment about segment AB due to
force FThe general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R...
where c> 0 ro The electric field in the xy-plane due to an infinite line of charge along the z-axis is a gradient field with a potential function V(x,y)=c In Vx2 + y2 is a constant and ro is a reference distance at which the potential is assumed to be 0. Use this information to answer parts a through c. wherer= x2 + y2. Rewrite E in terms b. Show that the electric field at a point in the xy-plane...
(1) Evaluate the following line integrals in R3. r +yds for C the line segment from (0, 1,0) to (1, 0,0) for C the line segment from (0,1,1) to (1,0,1). for C the circle (0, a cos t, a sin t) for O (iv) 2π, with a a positive constant. t for C the curve (cost +tsint,sint tcost, 0) for Osts v3 (Hint for (i): use the parametrization (z, y, z) = (t, 1-t, 0) for 0 1) t
(1)...
Two points, A and B, are terminal ends of a line-segment (place horizontally). Point X is above the line a distance 23- cm away from point A (nearer to A than B). Point Z is above the line a distance 12-cm away from point B (nearer to B than A). The point T is below the line. As such, there are line segments XT and ZT each of which crosses the line segment AB. The distance from point X to...
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xy-plane ? The sphere intersects the xz-plane ? The sphere intersects the yz-plane ? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago