The ___________ forces do not cause the rotation/rolling of the body i...
The concurrent forces are the which are somewhere touching the axis of rotation. If any of the force is touching that axis, that force is not considered, or is insufficient to cause a rotation. If a force is concurrent then the perpendicular distance of the force from the line of axis is zero, thus no rotation. As we know rotation is caused by moment.
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The ___________ forces do not cause the rotation/rolling of the body i...
Concurrent and Non-concurrent Forces:
Concurrent forces refer to forces whose lines of action intersect at a common point. In other words, all the forces act through a single point. On the other hand, non-concurrent forces are forces that do not intersect at a common point. They have different lines of action.
Rotation and Rolling:
Rotation refers to the movement of a body about a fixed axis. When a body rotates, different points on the body move in circular paths around the axis of rotation. Rolling, on the other hand, is a combination of rotational and translational motion. In rolling, a body moves forward while also rotating about its axis.
Forces causing Rotation and Rolling:
When a body is subjected to forces, these forces can cause both rotation and rolling. The forces that cause rotation are called torque or moment of forces. Torque is the product of force and the perpendicular distance between the point of rotation and the line of action of the force.
Concurrent Forces causing Rotation:
If the forces acting on a body are concurrent, meaning they intersect at a common point, they can cause rotation about any axis passing through that point. The sum of the torques produced by these concurrent forces about any axis passing through the common point is zero. Therefore, concurrent forces can cause rotation of the body.
Non-concurrent Forces causing Rotation:
On the other hand, if the forces acting on a body are non-concurrent, they cannot cause rotation of the body about any arbitrary axis passing through the point of intersection. The sum of the torques produced by these non-concurrent forces about any arbitrary axis is not zero. Therefore, non-concurrent forces do not cause rotation of the body.
Rotation about the Axis of the Body or Centroid Axis:
The question specifically mentions that the rotation is considered about the axis of the body or the centroid axis of the body. Since the forces are non-concurrent, they cannot cause rotation about these axes. Therefore, the correct answer is option 'B' - Concurrent forces do not cause the rotation/rolling of the body if the rotation is considered about the axis of the body or the centroid axis of the body.
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