# Machine Dynamics Questions and Answers – Precision Points for Function Generation

This set of Machine Dynamics Multiple Choice Questions & Answers (MCQs) focuses on “Precision Points for Function Generation”.

1. The degree of the Bezier curve with n control points is:
a) n + 1
b) n – I
c) n
d) 2n

Explanation: The degree of a Bézier curve defined by n+1 control points is n:
In each basis function, the exponent of u is i + (n – i) = n. Therefore, the degree of the curve is n.

2. 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 mentioned

Explanation: Changing the degree of the curve due to the increase of knots will change the shape of the curve globally and will not be considered. Therefore, inserting a new knot causes a new control point to be added. In fact, some existing control points are removed and replaced with new ones by corner cutting.

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

Explanation: C‘ continuity refers to Common curvature .
C0 continuity refers to Common point.
C” continuity refers to Common tangent.

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

Explanation: C‘ continuity refers to Common curvature .
C0 continuity refers to Common point.
C” continuity refers to Common tangent.

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

Explanation: C‘ continuity refers to Common curvature .
C0 continuity refers to Common point.
C” continuity refers to Common tangent.
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6. The number of non-coincidental points required to define the simplest surface are:
a) 4
b) 3
c) 2
d) 5

Explanation: None.

7. Convex hull property is satisfied by the following surface:
a) Bezier
b) B-spline
c) NURBS
d) All of the mentioned

Explanation: The curve that follows a convex hull property is B-spline.

8. The tensor product technique constraints surfaces by two curves.
b) Subtraction
c) Multiplying
d) Dividing

Explanation: None.

9. The degrees of freedom of a two-node bar element are:
a) 1
b) 2
c) 3
d) 4

Explanation: None.

10. The shape functions of a two-node bar element are:
a) Linear
c) Constant
d) None of the mentioned

Explanation: None.

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