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The resultant torque of a couple is the vector sum of the individual torques produced by the two equal and opposite forces that make up the couple. It is the product of the force magnitude and the perpendicular distance between the forces. The resultant torque of a couple is constant and does not cause linear acceleration but only rotational motion.
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Which motion does a couple produce?
A couple produces rotational motion around a central axis.
What is the difference between torque and couple?
Torque is the measure of the rotational force acting on an object, while couple refers to a pair of equal and opposite forces that are close together but not along the same line. Torque is a specific type of couple that results in rotational motion.
Are the forces on a see-saw balanced?
Only if both ends are at the same height. If a resultant force is more on one side than on the other side, then that will cause the side with the higher resultant to accelerate downwards or upwards, depending on the direction of the resultant force. The forces would be unbalanced in that system.
What is An example of case when resultant force is zero but torque is not zero?
A common example is a see-saw where two forces balance each other out and create a zero resultant force, but the torques produced by the forces are not equal because they act at different distances from the pivot point. This results in a non-zero net torque causing rotation.
What is a couple acting on a body?
A couple acting on a body is a pair of equal and opposite forces that do not have a resultant force but do produce a turning effect or moment on the body. This can cause the body to rotate around its center of mass.
Give an example of a case when the resultant force is zero but resultant torque is not zero?
A couple.
What is an example when resultant force is zero but resultant torque is not zero?
A couple: 2 parallel forces equal in magnitude, but opposite in direction separated by a distance.
Which motion does a couple produce?
A couple produces rotational motion around a central axis.
Why is the moment of a couple a free vector?
A couple is a mechanical term defined as a system of forces that produces a resultant moment but not a resultant force. The moment caused by a couple is different than the moment caused by a single force. The moment of a force is dependent upon a reference point (i.e. if this reference point changes the moment also changes), therefore it is a fixed (or bound) vector. However, the moment (or torque) of a couple is independent of a reference point. In other words any reference point will give the same torque. This fact is proven in Varignon's Second Moment Thereom. Since the moment (or torque) of a couple is independent of a reference point, it may be represented as a free vector. This means that the vector may be freely moved in space.
French word for torque?
torque -> le couple
How do you know if the system is in equlibrium?
A system is in equilibrium if: 1. The resultant force on it is zero. 2. The resultant torque on it is zero. Note that for a system which is a point object, only condition 1 is necessary for the system to be in equilibrium.
What is the difference between torque and couple?
Torque is the measure of the rotational force acting on an object, while couple refers to a pair of equal and opposite forces that are close together but not along the same line. Torque is a specific type of couple that results in rotational motion.
Are the forces on a see-saw balanced?
Only if both ends are at the same height. If a resultant force is more on one side than on the other side, then that will cause the side with the higher resultant to accelerate downwards or upwards, depending on the direction of the resultant force. The forces would be unbalanced in that system.
What is An example of case when resultant force is zero but torque is not zero?
A common example is a see-saw where two forces balance each other out and create a zero resultant force, but the torques produced by the forces are not equal because they act at different distances from the pivot point. This results in a non-zero net torque causing rotation.
What 2 things does the moment of a force depend on?
What two factors must be known in order to calculate the moment of a force? Torque = Force * distance Torque and distance must be perpendicular to each other If not you must determine the portion of the torque that is perpendicular.
What is a couple acting on a body?
A couple acting on a body is a pair of equal and opposite forces that do not have a resultant force but do produce a turning effect or moment on the body. This can cause the body to rotate around its center of mass.
How does the equilibrant force compare with the resulltant force?
The resultant is a trigonometric function, usually using the Law of Cosines in two dimensional solution by vector resolution, of two or more known forces while equilibrant is equal in magnitude to the resultant, it is in the opposite direction because it balances the resultant.Therefore, the equilibrant is the negative of the resultant.
