physics : class11 Perpendicular Distance : Moment of a Force : Motion of System of Particles and Rigid Body MCQ Questions and Answers
Practice important
Perpendicular Distance
MCQ questions and answers.
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MCQ Questions
1. The perpendicular distance of a force from the axis of rotation is also called the:
A.
Lever arm
B.
Displacement
C.
Velocity arm
D.
Mass arm
Correct Answer:
Lever arm
Explanation:
The shortest distance between the axis of rotation and the line of action of a force is called the perpendicular distance or lever arm.
2. A force of 10 N acts with a perpendicular distance of 2 m from a pivot. What is its moment about the pivot?
A.
5 N m
B.
10 N m
C.
20 N m
D.
40 N m
Correct Answer:
20 N m
Explanation:
Moment of force equals force multiplied by perpendicular distance. Thus, moment = 10 N × 2 m = 20 N m.
3. For a force acting on a rotating object, the perpendicular distance is measured from the pivot to the:
A.
Point where the object ends
B.
Line of action of the force
C.
Centre of mass only
D.
Direction of motion
Correct Answer:
Line of action of the force
Explanation:
The perpendicular distance used in calculating moment is the shortest distance from the pivot to the line of action of the force.
4. If the perpendicular distance of a force from a pivot is doubled while the force remains unchanged, the moment becomes:
A.
Half
B.
Unchanged
C.
Double
D.
Zero
Correct Answer:
Double
Explanation:
Since moment equals force multiplied by perpendicular distance, doubling the perpendicular distance doubles the moment when the force is unchanged.
5. A force produces no moment about a pivot when its line of action:
A.
Is far from the pivot
B.
Passes through the pivot
C.
Is horizontal
D.
Is vertical
Correct Answer:
Passes through the pivot
Explanation:
When the line of action passes through the pivot, the perpendicular distance is zero. Therefore, the moment is zero.
6. A force of 8 N has a moment of 24 N m about a pivot. What is the perpendicular distance from the pivot?
A.
2 m
B.
3 m
C.
16 m
D.
32 m
Correct Answer:
3 m
Explanation:
Perpendicular distance equals moment divided by force. Thus, distance = 24 N m ÷ 8 N = 3 m.
7. A force of 15 N acts at a perpendicular distance of 0.4 m from a pivot. Its moment is:
A.
3 N m
B.
6 N m
C.
15.4 N m
D.
37.5 N m
Correct Answer:
6 N m
Explanation:
Moment = force × perpendicular distance = 15 N × 0.4 m = 6 N m.
8. For the same force, which perpendicular distance produces the greatest moment?
A.
0.5 m
B.
1.0 m
C.
1.5 m
D.
2.0 m
Correct Answer:
2.0 m
Explanation:
For a fixed force, the moment increases directly with perpendicular distance. Therefore, the largest distance, 2.0 m, produces the greatest moment.
9. A force of 20 N acts at a perpendicular distance of 0.25 m from a pivot. The moment of the force is:
A.
5 N m
B.
20.25 N m
C.
80 N m
D.
0.0125 N m
Correct Answer:
5 N m
Explanation:
Moment = force × perpendicular distance = 20 N × 0.25 m = 5 N m.
10. Two forces have equal magnitudes. The force with the larger perpendicular distance from the pivot produces:
A.
A smaller moment
B.
The same moment always
C.
A larger moment
D.
No moment
Correct Answer:
A larger moment
Explanation:
With equal forces, moment is directly proportional to perpendicular distance. Hence, the larger perpendicular distance gives a larger moment.
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