2 years ago
what is couple & moment of couple?
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M$1 Answer
Moments and Couples
The moment of a force (ie. Torque) is the perpendicular force F acting at a distance, d and causes an object to rotate.
T = F d(1)
The moment of a force.
The dimension of moment is L2 T-2 which is the same as energy, however there is no direct relationship between the two. The SI unit of a moment is the Newton meter (Nm).
Couples
A special case of moments is where two anti-parallel forces separated by a distance d cause an object to rotate. This is known as a couple.
If two opposite moments act to cause an object to rotate, such as when your two hand are at the 'quarter-past-three' position on a car steering wheel, it is called a couple. The moment of a couple is called the torque.
The torque is a psuedo-vector quantity. That is, it has magnitude and it has a direction that is projected perpendicular to the plane of the vectors F and r. The direction of the vector from the plane follows a right-handed corkscrew rule or equivalently the right-hand screw rule.
Torque is a psuedo-vector quanitity with the direction given by the right-hand screw rule.
The magnitude of the torque of a couple can be found by finding the net torque from clockwise and anti clockwise moments acting on an arbitrary point of rotation.
T =F(x + d)
T =F x
Equating, F x +F d = F x.
Net Torque T = F d
The moment of a force (ie. Torque) is the perpendicular force F acting at a distance, d and causes an object to rotate.
T = F d(1)
The moment of a force.
The dimension of moment is L2 T-2 which is the same as energy, however there is no direct relationship between the two. The SI unit of a moment is the Newton meter (Nm).
Couples
A special case of moments is where two anti-parallel forces separated by a distance d cause an object to rotate. This is known as a couple.
If two opposite moments act to cause an object to rotate, such as when your two hand are at the 'quarter-past-three' position on a car steering wheel, it is called a couple. The moment of a couple is called the torque.
The torque is a psuedo-vector quantity. That is, it has magnitude and it has a direction that is projected perpendicular to the plane of the vectors F and r. The direction of the vector from the plane follows a right-handed corkscrew rule or equivalently the right-hand screw rule.
Torque is a psuedo-vector quanitity with the direction given by the right-hand screw rule.
The magnitude of the torque of a couple can be found by finding the net torque from clockwise and anti clockwise moments acting on an arbitrary point of rotation.
T =F(x + d)
T =F x
Equating, F x +F d = F x.
Net Torque T = F d
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