Engineering Questions with Answers - Multiple Choice Questions

# Machine Dynamics MCQ – Controlling Force Diagram for a Spring-controlled Governor

1 - Question

Let r represent the radius of rotation, then for stability of a spring controlled governor, which of the following relation regarding controlling force is true? (a, b are constants)
a) Fc = ar-b
b) Fc = ar +b
c) Fc = ar
d) Fc = a

Explanation: The relation between the controlling force (FC) and the radius of rotation (r) for the stability of spring controlled governors is given by the following equation:
Fc = ar-b.

2 - Question

If the line intersects the Controlling force axis in positive direction in the controlling force diagram of the spring controlled governor, then it is stable.
a) True
b) False

Explanation: If the line intersects the Controlling force axis in negative direction in the controlling force diagram of the spring controlled governor, then it is stable.
Fc = ar-b

3 - Question

Let r represent the radius of rotation, then for an unstable spring controlled governor, which of the following relation regarding controlling force is true? (a,b are constants)
a) Fc = ar-b
b) Fc = ar +b
c) Fc = ar
d) Fc = a

Explanation: The relation between the controlling force (FC) and the radius of rotation (r) for the unstability of spring controlled governors is given by the following equation:
Fc = ar+b.

4 - Question

Let r represent the radius of rotation, then for an isochronous spring controlled governor, which of the following relation regarding controlling force is true? (a,b are constants)
a) Fc = ar-b
b) Fc = ar +b
c) Fc = ar
d) Fc = a

Explanation: The relation between the controlling force (FC) and the radius of rotation (r) for the instability of spring controlled governors is given by the following equation:
Fc = ar.

5 - Question

In the given figure x axis is the radius of rotation and y axis is the controlling force, identify the correct option.

a) Curve represents isochronous governor
b) Curve represents stable governor
c) Curve represents unstable governor
d) Curve represents sensetive governor

Explanation: In the given figure, the straight line is passing through the origin thus following a relation
Fc = ar. Since there are no constants it represents an isochronous governor.

6 - Question

In the given figure x axis is the radius of rotation and y axis is the controlling force, identify the correct option. (For a spring controlled governor)

a) Curve represents isochronous governor
b) Curve represents stable governor
c) Curve represents unstable governor
d) Curve represents sensetive governor

Explanation: In the given figure, the straight line is below the axis representing the controlling force thus following a relation
Fc = ar – b. Since there is a negative constant it represents a stable governor.

7 - Question

In the given figure x axis is the radius of rotation and y axis is the controlling force, identify the correct option. (For a spring controlled governor)

a) Curve represents isochronous governor
b) Curve represents stable governor
c) Curve represents unstable governor
d) Curve represents sensetive governor

Explanation: In the given figure, the straight line is above the axis representing the controlling force thus following a relation
Fc = ar + b. Since there is a negative constant it represents an unstable governor

8 - Question

It is possible that the equilibrium speed of the governor decreases with an increase of the radius of rotation of balls.
a) True
b) False