Chapter: Geometric Modeling
1.

QFor generating Coons patch we require

A. A set of grid points on surface
B. A set of control points
C. Four bounding curves defining surface
D. Two bounding curves and a set of grid control points
Answer» C. Four bounding curves defining surface
2.

In a 2-D CAD package, clockwise circular arc of radius, 5, specified from P1 (15,10) to P2 (10,15)will have its center at

A. (10, 10)
B. (15, 10)
C. (15, 15)
D. (10, 15)
Answer» A. (10, 10)
3.

In the following geometric modelling techniques which are not three-dimensional modelling?

A. Wireframe modelling
B. Drafting
C. Surface modelling
D. solid modelling
Answer» B. Drafting
4.

In the following three-dimensional modelling techniques. Which do not require much computer time and memory?

A. Surface modelling
B. Solid modelling
C. Wireframe modelling
D. All of the above
Answer» C. Wireframe modelling
5.

In the following geometric modelling techniques. which cannot be used for finite element analysis:

A. Wireframe modelling
B. Surface modelling
C. Solid modeling
D. none of the above
Answer» D. none of the above
6.

In the following geometric primitives. which is not a solid entity of CSG modelling:

A. Box
B. Cone
C. Cylinder
D. Circle
Answer» D. Circle
7.

Which of the following is not an analytical entity?

A. Line
B. Circle
C. Spline
D. Parabola
Answer» C. Spline
8.

Which of the following is not a synthetic entity?

A. Hyperbola
B. Bezier curve
C. B-spline curve
D. Cubic spline curve
Answer» A. Hyperbola
9.

Which one of the following does not belong to the family of conics?

A. Parabola
B. Ellipse
C. Hyperbola
D. Line
Answer» D. Line
10.

The number of tangents required to describe cubic splines is

A. 2
B. 1
C. 3
D. 4
Answer» B. 1
11.

The shape of Bezier curve is controlled by

A. Control points
B. Knots
C. End points
D. All the above
Answer» A. Control points
12.

The curve that follows a convex hull property is:

A. Cubic spline
B. B-spline
C. Bezier curve
D. Both (b) and (c)
Answer» B. B-spline
13.

The degree of the Bezier curve with n control points is

A. n + 1
B. n - 1
C. n
D. 2n
Answer» A. n + 1
14.

The degree of the B-spline with varying knot vectors

A. Increases with knot vectors
B. Decreases with knot vectors
C. Remains constant
D. none of the above
Answer» A. Increases with knot vectors
15.

The number of non-coincidental points required to define the simplest surface are

A. 4
B. 3
C. 2
D. 5
Answer» B. 3
16.

The tensor product technique constraints surfaces by two curves.

A. 2
B. 1
C. 3
D. 4
Answer» B. 1
17.

In the bezier curve, the curve is always to first and last segments of the polygon

A. normal
B. parallel
C. tangent
D. none of the above
Answer» C. tangent
18.

The unit vector in the direction of the line is defined as .

A. tangent vector+length of the line
B. tangent vector-length of the line
C. tangent vector/length of the line
D. length of the line/tangent vector
Answer» C. tangent vector/length of the line
19.

From the following, which is an axisymmetric surface?

A. Plane Surface
B. Ruled Surface
C. Surface of Revolution
D. All of the above
Answer» C. Surface of Revolution
20.

curves allow local control of the curve

A. Analytical
B. Hermite cubic spline
C. Beizer
D. B-Spline
Answer» D. B-Spline
21.

To determine the coefficients of the equation – two end-points and the two tangent vectors. This statement is true for which of the following

A. B-spline curve
B. Hermite Cubic Spline Curve
C. Beizer curve
D. none of the above
Answer» B. Hermite Cubic Spline Curve
22.

In synthetic curves, second-order continuity yields

A. a position continuous curve
B. a slope continuous curve
C. a curvature continuous curve
D. none of the above
Answer» C. a curvature continuous curve
23.

Mathematically, the ellipse is a curve generated by a point moving in space such that at any 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
Answer» A. the major diameter
24.

When a smooth curve is approximated through the data points, then the curve is known as

A. interpolant curve
B. approximation curve
C. pitch curve
D. data curve
Answer» B. approximation curve
25.

In Beizer Curve, the curve follows

A. the control points
B. the shape of the defining polygon
C. the defining points
D. none of the above
Answer» B. the shape of the defining polygon
26.

In Beizer Curve, the flexibility of the shape would increase with

A. decrease in the number of vertices
B. increase in the number of vertices
C. decrease in control points
D. none of the above
Answer» B. increase in the number of vertices
27.

The number of control points can be added or subtracted in .

A. Bezier curve
B. B-spline curve
C. Cubic spline curve
D. all of the above
Answer» B. B-spline curve
28.

The degree of the curve is independent of the number of control points in .

A. Hermite cubic spline curve
B. Bezier curve
C. B-spline curve
D. Hyperbola
Answer» C. B-spline curve
29.

The is used to create a surface using curves that form closed boundaries.

A. ruled Surface
B. plane Surface
C. coons patch
D. surface of Revolution
Answer» C. coons patch
30.

B-rep and C-Rep are the methods of

A. solid modeling
B. surface modeling
C. wireframe modeling
D. 2D modeling
Answer» A. solid modeling
31.

Which kind of model can store information about geometry

A. Solid model
B. Surface model
C. Wireframe model
D. none of the above
Answer» A. Solid model
32.

From the following, which method is also called as the Building Block Approach?

A. Cellular Decomposition
B. Spatial Occupancy Enumeration
C. Generalized Sweeps
D. Constructive Solid Geometry
Answer» D. Constructive Solid Geometry
33.

Structuring and combining the primitives of the solid model in the graphics database, is achieved by the use of…..

A. FEA
B. transformations
C. boolean operations
D. none of the above
Answer» C. boolean operations
34.

The data representation of CSG objects is represented by

A. a binary tree
B. a boolean operation
C. a primitive
D. none of the above
Answer» A. a binary tree
35.

is an extension of the wireframe model with additional face information added.

A. CSG
B. B-rep
C. Loft
D. none of the above
Answer» B. B-rep
36.

For 3D modeling of automobile body styling, which of the following is a preferred technique?

A. Constructive Solid Geometry
B. Pure Primitive Instancing
C. Boundary Representation
D. Spatial Occupancy Enumeration
Answer» C. Boundary Representation
37.

Which of the following uses a number of two-dimensional profiles for generating a three-dimensional object?

A. Tweaking
B. Lofting
C. Filleting
D. none of the above
Answer» B. Lofting
38.

To create a hollow part, which of the following command would be most efficient?

A. Extrude
B. Sweep
C. Shell
D. Revolve
Answer» C. Shell
39.

The curve is defined as the locus of a point moving with _ degree of freedom

A. 0
B. 1
C. 2
D. 3
Answer» B. 1
40.

Write parametric equation of line having end points P1(3,5,8) and P2 (6,4,3).

A. [3 5 8]+u[3 -1 -5]
B. [3 5 8]+u[3 1 5]
C. [3 8 5]+u[3 -1 -5]
D. [3 5 8]+u[-3 1 5]
Answer» A. [3 5 8]+u[3 -1 -5]
41.

Find the tangent vector of line having end points P1(3,5,8) and P2 (6,4,3)

A. 3i+j-5k
B. 3i-j-5k
C. 3i-j+5k
D. -3i-j-5k
Answer» B. 3i-j-5k
42.

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]
Answer» C. [3.75 4.75 6.75]
43.

Two lines are parallel when

A. P1 X P2=0
B. P1 . P2=0
C. P1 = P2
D. P1+ P2=0
Answer» A. P1 X P2=0
44.

Two lines L1 and L2 having Parametric equations are P1=[3 4 7]+u[2 2 -6] and P2=[1 5 -2]+u[1 4 2]. Tangent vector for line L1

A. 2i+2j-6k
B. 2i+2j+6k
C. 2i-2j-6k
D. 6-2j-2k
Answer» A. 2i+2j-6k
45.

For Q 45, Tangent vector for line L2

A. i+4j-k
B. 2i+4j+k
C. i-4j-2k
D. i+4j+2k
Answer» D. i+4j+2k
46.

For Q 45, Lines are perpendicular?

A. True
B. False
C. D
Answer» B. False
47.

Parametric equation for circle

A. X=x+Rcosu; Y=y+Rsinu; Z=z
B. X=Rcosu; Y=Rsinu; Z=z
C. X=x+Rsinu; Y=y+Rcosu; Z=z
D. X=Rsinu; Y=y+Rcosu; Z=z
Answer» A. X=x+Rcosu; Y=y+Rsinu; Z=z
48.

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]
Answer» A. [x1+x2]/2; [y1+y2]/2; [z1+z2]/2
49.

A circle is represented by center point [5,5] and radius 6 units. Find the parametric equation 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
Answer» A. 9.24,9.24
50.

A circle is passing through two end points A[6,4] and B[10,10]. Find center point of circle

A. 7,8
B. 8,8
C. 8,7
D. 7,7
Answer» C. 8,7
51.

For Q 51, find radius of circle

A. 3
B. 3.6
C. 4
D. 3.5
Answer» B. 3.6
52.

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
Answer» A. 11.6, 7
53.

Find parametric equation for X-coordinates of hermite cubic spline curve having end points 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
Answer» A. -5u3+8u2+u+1
54.

Find parametric equation for Y-coordinates of Hermite cubic spline curve having end points 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
Answer» A. 2u3-3u2+2u+4
55.

C0 continuity refers to

A. Common tangent
B. Common curvature
C. Common point
D. Common normal
Answer» C. Common point
56.

C‘ continuity refers to

A. Common tangent
B. Common curvature
C. Common point
D. Common normal
Answer» B. Common curvature
57.

C” continuity refers to

A. Common tangent
B. Common curvature
C. Common point
D. Common normal
Answer» A. Common tangent
58.

Which of the following is not a method to describe a curve mathematically?

A. Explicit form
B. Laplace form
C. Implicit form
D. Parametric form
Answer» B. Laplace form
59.

When the curve passes through all the data points, then the curve is known as

A. approximation curve
B. pitch curve
C. data curve
D. interpolant curve
Answer» D. interpolant curve
60.

When a smooth curve is approximated through the data points, then the curve is known as

A. approximation curve
B. pitch curve
C. data curve
D. interpolant curve
Answer» A. approximation curve
61.

Synthetic curve pass through defined data points and thus can be represented by

A. polynomial equations
B. exponential equations
C. partial differential equations
D. differential equations
Answer» A. polynomial equations
62.

Mathematically, the ellipse is a curve generated by a point moving in space such that at any 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
Answer» A. the major diameter
63.

The parabola is defined mathematically as a curve generated by a point that moves such that 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
Answer» C. equal to
64.

In synthetic curves, zero-order continuity yields

A. a position continuous curve
B. a slope continuous curve
C. a curvature continuous curve
D. none of the above
Answer» A. a position continuous curve
65.

In synthetic curves, first-order continuity yields

A. a position continuous curve
B. a slope continuous curve
C. a curvature continuous curve
D. none of the above
Answer» B. a slope continuous curve
66.

The B-spline curve has a

A. first-order continuity
B. second-order continuity
C. zero-order continuity
D. none of the above
Answer» B. second-order continuity
67.

To determine the coefficients of the equation – two end-points and the two tangent vectors. This statement is true for which of the following?

A. B-spline curve
B. Hermite Cubic Spline Curve
C. Beizer curve
D. none of the above
Answer» B. Hermite Cubic Spline Curve
68.

The Bezier curve is smoother than the Hermite cubic spline because it has _________ order derivatives.

A. lower
B. higher
C. lower and higher both
D. none of the above
Answer» B. higher
69.

In the bezier curve, the curve is always________to first and last segments of the polygon

A. normal
B. parallel
C. tangent
D. none of the above
Answer» C. tangent
70.

________curves allow local control of the curve.

A. Analytical
B. Hermite cubic spline
C. Beizer
D. B-Spline
Answer» D. B-Spline
71.

In Beizer Curve, the curve follows __________

A. the control points
B. the shape of the defining polygon
C. the defining points
D. none of the above
Answer» B. the shape of the defining polygon
72.

In Beizer Curve, the flexibility of the shape would increase with _______ of the polygon.

A. decrease in the number of vertices
B. increase in the number of vertices
C. decrease in control points
D. none of the above
Answer» B. increase in the number of vertices
73.

The degree of the curve is independent of the number of control points in _____

A. Hermite cubic spline curve
B. Bezier curve
C. B-spline curve
D. Hyperbola
Answer» C. B-spline curve
74.

In modeling of a tabulated cylinder, the plane of the curve is _______

A. along the curve
B. normal to the curve
C. along the axis of the cylinder
D. perpendicular to the axis of the cylinder
Answer» D. perpendicular to the axis of the cylinder
75.

The ___________ is used to create a surface using curves that form closed boundaries

A. ruled Surface
B. plane Surface
C. coons patch
D. surface of Revolution
Answer» C. coons patch
76.

________ command gives an array of object in 3D modeling

A. Extrude
B. Revolve
C. Pattern
D. All of the above
Answer» C. Pattern
77.

To create a hollow part, which of the following command would be most efficient

A. Extrude
B. Sweep
C. Shell
D. Revolve
Answer» C. Shell
78.

A cylinder can be created by drawing a rectangular shape using the ________ tool.

A. revolve
B. sweep
C. extrude
D. all of the above
Answer» A. revolve
79.

For 3D modeling of automobile body styling, which of the following is a preferred technique

A. Constructive Solid Geometry
B. Pure Primitive Instancing
C. Boundary Representation
D. Spatial Occupancy Enumeration
Answer» C. Boundary Representation
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