Mechanics DONE Flashcards
A moment is the turning effect of a force about a point X. A fulcrum/ pivot/ axis of rotation is a point on an object about which a rotating can occur. State the equation for the moment of a force and the 3 things you must state to describe a moment.
Moment (Nm)= Force (N) x Perpendicular distance from the line of action of the force to point X (m)
Magnitude of moment
Direction of moment- anticlockwise/ clockwise
Point you are taking the moment about
State what is meant by the lever arm.
Perpendicular distance from the line of action of the force to point X/ fulcrum/ pivot/ axis
State what is meant by line of action of a force and point of application of a force.
Line of action of a force- line along which force acts
Point of application of a force- point on the object where the force is applied
State the principle of moments.
For a body to be in rotational equilibrium, the sum of the clockwise moments about a point equals the sum of the anticlockwise moments about the same point ( resultant moment is 0)
State what is meant by torque and the sign convention for clockwise and anticlockwise moments.
Torque is the combined effect of 2 or more forces acting on an object
Clockwise moments are positive and anticlockwise moments are negative
Couples tend to cause rotation but not translation. Define a couple in terms of forces acting on an object and give the equation for the torque of a couple. Is the torque affected by the location of the pivot point?
A couple is a pair of equal and opposite forces acting on an object, but not along the same line
Torque of couple (Nm)= One of the forces (N) x Perpendicular distance between the forces (m)
No
Explain why a couple has no effect on the contact/ friction forces at the pivot point making reference to translational equilibrium.
Because there is no contact/ friction force needed to oppose the motion in order to keep the system in transitional equilibrium because it already is
State the position of the centre of gravity of an object when it is in stable rotational equilibrium.
Centre of gravity directly above pivot point
Define centre of gravity of an object.
The single point on an object that you can consider its whole weight to act through