The original coordinates of the point in polar coordinates are a.X’=r cos (Ф +ϴ) and Y’=r cos (Ф +ϴ) b.X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ) c.X’=r cos (Ф -ϴ) and Y’=r cos (Ф -ϴ) d.X’=r cos (Ф +ϴ) and Y’=r sin (Ф -ϴ)

1 Answer

Answer :

b.X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ)

Related questions

Description : If point are expressed in homogeneous coordinates then the pair of (x, y) isrepresented as a.(x’, y’, z’) b.(x, y, z) c.(x’, y’, w’) d.(x’, y’, w)

Last Answer : d.(x’, y’, w)

Description : In 2D-translation, a point (x, y) can move to the new position (x’, y’) by usingthe equation a.x’=x+dx and y’=y+dx b.x’=x+dx and y’=y+dy c.X’=x+dy and Y’=y+dx d.X’=x-dx and y’=y-dy

Last Answer : b.x’=x+dx and y’=y+dy

Description : The polygons are scaled by applying the following transformation. a.X’=x * Sx + Xf(1-Sx) & Y’=y * Sy + Yf(1-Sy) b.X’=x * Sx + Xf(1+Sx) & Y’=y * Sy + Yf(1+Sy c.X’=x * Sx + Xf(1-Sx) & Y’=y * Sy – Yf(1-Sy) d.X’=x * Sx * Xf(1-Sx) & Y’=y * Sy * Yf(1-Sy)

Last Answer : a.X’=x * Sx + Xf(1-Sx) & Y’=y * Sy + Yf(1-Sy)

Description : Which of the following represents shearing? a.(x, y) → (x+shx, y+shy) b.(x, y) → (ax, by) c.(x, y) → (x cos(θ)+y sin(θ), -x sin(θ)+y cos(θ)) d.(x, y) → (x+shy, y+shx)

Last Answer : d.(x, y) → (x+shy, y+shx)

Description : Coordinate of â- ABCD is WCS are: lowermost corner A(2,2) & diagonal corner are C(8,6). W.r.t MCS. The coordinates of origin of WCS system are (5,4). If the axes of WCS are at 600 in CCW w.r.t. the axes of MCS. Find new ... in MCS. a.(4.268, 6.732) b.(5.268, 6.732) c.(4.268, 4.732) d.(6.268, 4.732)

Last Answer : a.(4.268, 6.732)

Description : The matrix representation for scaling in homogeneous coordinates is a.P’=S*P b.P’=R*P c.P’=dx+dy d.P’=S*S

Last Answer : a.P’=S*P

Description : In a CAD package, mirror image of a 2D point P (5, 10) is to be obtained about a line whichpasses through the origin and makes an angle of 45° counterclockwise with the X-axis. The coordinates of the transformed point will be a.(7.5, 5) b.(10, 5) c.(7.5, -5) d.(10, -5)

Last Answer : b.(10, 5)

Description : In , the coordinates are mentioned in the program with respect to onePrevious point. a.Incremental System b.Absolute System c.Datum System d.Screen Coordinates System

Last Answer : a.Incremental System

Description : In , the coordinates are mentioned in the program with respect to onereference point a.Incremental System b.Absolute System c.Datum System d.Screen Coordinates System

Last Answer : b.Absolute System

Description : An absolute NC system is one in which all position coordinates are referred to one fixedorigin called the zero point. a.TRUE b.FALSE c. d.

Last Answer : a.TRUE

Description : For Q 51, find coordinates of point on circle at u=0 a.11.6, 7 b.7, 11 c.11, 7 d.11.5, 7.5

Last Answer : a.11.6, 7

Description : A line AB with end point A (2,3) & B (7,8) is to be rotated about origin by 300 inclockwise direction. Determine the coordinates of end points S of rotated line. a.(3.232, 2.598) b.(5.232, 3.598) c.(3.232, 1.298) d.(3.232, 1.598)

Last Answer : d.(3.232, 1.598)

Description : The points in the entire structure are defined using the coordinates system is known as a.local coordinates system b.natural coordinates system c.global coordinate system d.none of the above

Last Answer : c.global coordinate system

Description : Find parametric equation for Y-coordinates of Hermite cubic spline curve having endpoints P0[4,4]; P1[8,5] a.2u3-3u2+2u+4 b.3u3-2u2-2u-4 c.2u3-3u2-2u-4 d.2u3+3u2+2u+4

Last Answer : a.2u3-3u2+2u+4

Description : Find parametric equation for X-coordinates of hermite cubic spline curve having endpoints P0[4,4]; P1[8,5] a.-5u3+8u2+u+1 b.5u3+8u2+u+1 c.8u3-5u2-u+1 d.8u3+5u2+u+1

Last Answer : a.-5u3+8u2+u+1

Description : Find coordinates of points on line having end points P1(3,5,8) and P2 (6,4,3) at u=0.25 a.[3.75 4.25 6.25] b.[3.25 4.25 6.25] c.[3.75 4.75 6.75] d.[4.25 3.75 6.25]

Last Answer : c.[3.75 4.75 6.75]

Description : A line AB with end points A (2, 1) & B (7, 6) is to be moved by 3 units in x-direction & 4units in y-direction. Calculate new coordinates of points B. a.(10, 2) b.(2, 10) c.(10, 10) d.(10, 5)

Last Answer : c.(10, 10)

Description : The process of mapping a world window in World Coordinates to the Viewportis called Viewing transformation. a.TRUE b.FALSE c. d.

Last Answer : a.TRUE

Description : Scaling of a polygon is done by computing a.The product of (x, y) of each vertex b.(x, y) of end points c.Center coordinates d.Only a

Last Answer : d.Only a

Description : An ellipse can also be rotated about its center coordinates by rotating a.End points b.Major and minor axes c.Only a d.None

Last Answer : b.Major and minor axes

Description : To change the position of a circle or ellipse we translate a.Center coordinates b.Center coordinates and redraw the figure in new location c.Outline coordinates d.All of the mentioned

Last Answer : b.Center coordinates and redraw the figure in new location

Description : In Coordinates, a points in n-dimensional space is represent by(n+1) coordinates. a.Scaling b.Homogeneous c.Inverse transformation d.3D Transformation

Last Answer : b.Homogeneous

Description : In homogeneous coordinates value of ‘h’ is consider as 1 & it is called….. a.Magnitude Vector b.Unit Vector c.Non-Zero Vector d.Non-Zero Scalar Factor

Last Answer : d.Non-Zero Scalar Factor

Description : What is the use of homogeneous coordinates and matrix representation? a.To treat all 3 transformations in a consistent way b.To scale c.To rotate d.To shear the object

Last Answer : a.To treat all 3 transformations in a consistent way

Description : The matrix representation for translation in homogeneous coordinates is a.User Coordinate System b.World Coordinate System c.Screen Coordinate System d.None of the above

Last Answer : b.World Coordinate System

Description : Which type of motion is possible in polar coordinate robots? a.2 linear and 1 rotational motion b.3 linear motion c.3 rotational motion d.2 rotational and 1 linear motion

Last Answer : d.2 rotational and 1 linear motion

Description : From which of the following is the geometrical configuration of robot a.Cylindrical configuration b.Polar configuration c.Both A& B d.None of the above

Last Answer : c.Both A& B

Description : General pivot point rotation can be expressed as a.T(zr,yr).R(θ).T(-zr,-yr) = R(xr,yr,θ) b.T(xr,yr).R(θ).T(-xr,-yr) = R(xr,yr,θ) c.T(xr,yr).R(θ).T(-xr,-yr) = R(zr,yr,θ) d.T(xr,yr).R(θ).T(-xr,-yr) = R(zr,yr,θ)

Last Answer : b.T(xr,yr).R(θ).T(-xr,-yr) = R(xr,yr,θ)

Description : Rotation is simply---------object w.r.t origin or centre point. a.Turn b.Shift c.Compression d.Drag element

Last Answer : a.Turn

Description : Match the following: NC code DefinitionP. M05 1. Absolute coordinate system Q. G01 2. Dwell R. G04 3. Spindle stop S. G09 4. Linear interpolation a.P-2, Q-3, R-4, S-1 b.P-3, Q-4, R-1, S-2 c.P-3, Q-4, R-2, S-1 d.P-4, Q-3, R-2, S-1

Last Answer : c.P-3, Q-4, R-2, S-1

Description : In truss analysis, the reactions can be found by using the equation . a.R=KQ+F b.R=KQ-F c.R=K+QF d.R=K-QF

Last Answer : b.R=KQ-F

Description : The two-dimensional rotation equation in the matrix form is a.P’=T+P b.P’=S*P c.P’=R*P d.P’=dx+dy

Last Answer : c.P’=R*P

Description : NC contouring is an example of a.Continuous path positioning b.Point-to-point positioning c.Absolute positioning d.Incremental positioning

Last Answer : a.Continuous path positioning

Description : Which of the following code will give point to point movement? a.G00 b.G01 c.G56 d.G94

Last Answer : a.G00

Description : Which of the following code is used to return to a reference point? a.G23 b.G28 c.G14 d.G19

Last Answer : b.G28

Description : To indicate the position of the workpiece ly & easily machine zero pint should be displacedto another point on the workpiece called… a.Workpiece zero Point b.machine Zero Point c.Start Point d.Program Zero point

Last Answer : a.Workpiece zero Point

Description : ……… is the origin of the coordinate system which is defined by manufacturer they cannotbe changed a.Blocking Point b.machine Zero Point c.Start Point d.Program Zero point

Last Answer : b.machine Zero Point

Description : Point-to-point systems are used for a.reaming b.parting c.grooving d.facing

Last Answer : a.reaming

Description : n an NC machining operation, the tool has to be moved from point (5, 4) to point (7, 2) alonga circular path with centre at (5, 2). Before starting the operation, the tool is at (5, 4). The G and N codes for this motion ... 0 I5.0 J2.0 c.N010 GO1 X7.0 Y2.0 I5.0 J2.0 d.N010 GOO X7.0 Y2.0 I5.0 J2.0

Last Answer : b.N010 GO2 X7.0 Y2.0 I5.0 J2.0

Description : The characteristic of the shape function is a.the shape function has a unit value at one nodal point and zero value at the other nodes b.the sum of the shape function is equal to one c.both a & b d.None of the above

Last Answer : c.both a & b

Description : The minimum number of dimensions are required to define the position of a point in spaceis . a.3 b.4 c.1 d.2

Last Answer : a.3

Description : The truss element can resist only a.surface force b.axial force c.point load d.none of the above

Last Answer : b.axial force

Description : The parabola is defined mathematically as a curve generated by a point that moves suchthat its distance from the focus is always__________the distance to the directrix a.larger than b.smaller than c.equal to d.none of the above

Last Answer : c.equal to

Description : Mathematically, the ellipse is a curve generated by a point moving in space such that atany position the sum of its distances from two fixed points (foci) is constant and equal to a.the major diameter b.the minor diameter c.semi major diameter d.semi-minor diameter

Last Answer : a.the major diameter

Description : C” continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Last Answer : a.Common tangent

Description : C‘ continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Last Answer : b.Common curvature

Description : C0 continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal

Last Answer : c.Common point

Description : A circle is passing through two end points A[6,4] and B[10,10]. Find center point ofcircle a.7,8 b.8,8 c.8,7 d.7,7

Last Answer : c.8,7

Description : A circle is represented by center point [5,5] and radius 6 units. Find the parametricequation of circle and determine the various points on circle in first quadrant if increment in angle by 45o a.9.24,9.24 b.9.42,9.42 c.9,9 d.11,5

Last Answer : a.9.24,9.24

Description : Center point of circle a.[x1+x2]/2; [y1+y2]/2; [z1+z2]/2 b.[x1-x2]/2; [y1-y2]/2; [z1-z2]/2 c.[x1-x2]; [y1-y2]; [z1-z2] d.[x2-x1]; [y2-y1]; [z2-z1]

Last Answer : a.[x1+x2]/2; [y1+y2]/2; [z1+z2]/2