Module 3 Moments Flashcards
What is the centre of mass/gravity of an object?
single point through which the whole weight of the object acts through
What can be considered about the weight of a uniform object?
acts in the symmetrical centre of the object
Describe how you would find the centre of gravity of an irregular object?
- Hand object freely from a point
- Use a plumb line(bob) to draw a vertical line down the object
- Hang the object from a different point and repeat two more times
- The point where all the lines intersect is the centre of gravity
What is a plumb bob?
a string with a weight attached at one end
Define a moment
force times the perpendicular distance from line of action of the force to the pivot
What is the unit for moments?
Nm (newton meters)
How to find the perpendicular distance of a force from pivot to calculate a moment?
Draw the line along the direction that the force acts
Go to the pivot
Draw a line through the pivot that meets the line of force at right angles
What is the principal of moments?
when an object is in equilibrium, the sum of anticlockwise moments about any point is equal to the sum of clockwise moments about the same point
When calculating moments about a point when an object is in equilibrium, what must be stated?
principal of moments - sum of clockwise moments = sum of anticlockwise about the same point
Re moments
When there are two unknown forces acting on an object, how do you find the magnitude of the forces?
use the point where one of the forces acts as a pivot
(moment of this force = 0Nm)
apply the principle of moments
calculate the magnitude of the other unknown force
Why can the moment of a weight acting through the centre of rotation be considered 0Nm?
perpendicular distance to centre of rotation is 0 m
Moment = force x perpendicular distance so moment = 0Nm
What is a couple?
a pair of forces equal in size (magnitude) acting parallel to each other but in opposite direction
What is torque?
the turning effect/moment of a couple
Definition of a torque
size of one force times the perpendicular distance between the forces in a couple
What is the same as the torque of a couple?
resultant moment
taking clockwise as positive and anticlockwise as negative