If you are getting to know about the direction of the moment caused by...
The curled hand represents various thing. The direction of the moment axis is given by the thumb. The direction of the force is given by the fingers. As we place the fingers on the force and curl towards the rotational direction of the body about the axis.
View all questions of this test
If you are getting to know about the direction of the moment caused by...
Explanation:
To understand the bending moment diagram, let's first discuss the concept of moments and forces and how they are represented using the right-hand rule.
Forces and Moments:
- A force is a vector quantity that has both magnitude and direction. It can be represented by an arrow indicating its direction and a length indicating its magnitude.
- A moment, also known as a torque, is a vector quantity that describes the rotational effect of a force about an axis. It is represented by a vector that is perpendicular to the plane of rotation, with a direction given by the right-hand rule.
The Right-Hand Rule:
The right-hand rule is a convention used to determine the direction of a moment or torque when a force is applied. It is based on the fact that moments are perpendicular to the plane of rotation.
Thumb Rule:
- According to the right-hand rule, if you point your thumb in the direction of the force applied, your curled fingers will represent the direction of the moment or torque.
- This means that the thumb represents the direction of the force, and the fingers represent the direction of the moment.
Bending Moment Diagram:
- A bending moment diagram is a graphical representation that shows the variation of bending moments along the length of a beam or structure.
- The bending moment at a particular point is the sum of the moments acting on either side of that point.
- The direction of the bending moment is determined by the sign convention used, which is usually positive for clockwise rotation and negative for counterclockwise rotation.
Explanation of the options:
a) The thumb represents the direction of the force - This is correct. According to the right-hand rule, the thumb represents the direction of the force applied.
b) The thumb represents the direction of the moment - This is incorrect. The thumb represents the direction of the force, not the moment. The moment is represented by the fingers.
c) The fingers represent the direction of the force - This is incorrect. The fingers represent the direction of the moment, not the force.
d) The direction in which you curl your wrist is towards the direction of the distance from the point of contact of force to the axis of rotation - This is correct. When you curl your wrist, the direction in which you curl represents the direction of the distance from the point of contact of the force to the axis of rotation.
Therefore, the correct answer is option 'B' - The thumb represents the direction of the moment.
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.