 Bodies in stable equilibrium (such as these spinning tops) return to their original position after being displaced slightly.

# Forces - Forces and Turning Effects

This GCSE Physics quiz takes a look at forces and turning effects. You use turning forces every day but probably don't even think about them - switching on a light and opening a door are just two examples. The turning effect of a force is called a moment. A moment is created when a force is applied to an object that is attached to a pivot. A pivot is a pin or shaft that fixes an object in place but also allows the object to move around it. You will probably have done calculations involving levers in your lessons, in the context of levers, the pivot is referred to as a fulcrum. There is also a word that describes the force that tends to produce rotation - torque. This word does have other meanings too and engineers use it instead of the scientific word moment.

If you ever do maintenance on your bicycle, particularly if it has hydraulic disc brakes, you will sometimes see the recommended torque for tightening the bolts written in the instructions. This tells you how tightly the bolts should be fastened and can be done by using a torque wrench which is a tool that can be set to tighten bolts to a specific value. Torque values are important - too tight and the bolt can be weakened, not tight enough and the bolt could become loose or even come out of place completely. There have been cases of wheels coming off cars because the bolts have not been tightened enough or over-tightened so much that they break due to the forces acting on the wheel when the car is moving at high speed.

Whatever term is used, pivot or fulcrum, torque or moment, the calculations and effects are the same. The moment of a turning force depends on just two things - the size of the force and the perpendicular distance from the force to the pivot or fulcrum. When you multiply the two figures together, you have the magnitude (size) of the moment. When the distance is in metres (m) and the force is in newtons (N), the units of a moment are therefore newton metres (N m).

In the exam, quite often calculations are designed to test your knowledge of how to calculate a moment and your understanding of the principle (or law) of moments. When you consider a system with a pivot, a force on one side of the pivot can cause the system to turn in a clockwise direction. A force on the other side of the pivot would cause the system to turn in an anticlockwise direction. Think about a see-saw looking at it from the side. One person gets on the left hand side of the see-saw and that side goes down. It has moved in an anticlockwise direction. If a second person sits on the other side, they can make the other side of the see-saw move in a clockwise direction.

If they are the same weight and sit at exactly the same distance from the pivot, the see-saw will be balanced. That is the principle of moments - when an object is not turning round its pivot, the sum of the clockwise moments is equal to the sum of the anticlockwise moments. The two people on the see-saw can make it move by changing their moment - leaning backwards or forwards, increasing the force by using their legs against the ground, sitting closer to the pivot, getting someone else to sit on the see-saw and so on.

The way in which weight is distributed compared to the position of the centre of mass can affect an object's stability. This is because a moment is created. The centre of mass of an object is defined as the point through which all of the mass of a body appears to act. In practical terms, if you can suspend an object from its centre of mass, it would be perfectly balanced. If a force is applied off-centre, it means that the force is acting at a distance from the centre of mass. This creates a moment which causes an unstable equilibrium. If you are near a large building site, watch one of the large gantry cranes - see if you can spot the counterweight that is necessary to balance the moment of the load that they are lifting to help to avoid an unstable equilibrium.

Turning forces can also produce a neutral equilibrium, for example, a ball doesn't fall over when a turning force is applied, it rolls. Conical objects and cylinders are also in a state of neutral equilibrium.

1.
What is the turning effect of forces?
A moment
A while
An hour
A day
You can investigate moments using a ruler suspended from a clamp stand
2.
What is the formula for a moment?
Moment = F x d
F = M x d
d = F x M
Moment = 2F x d
F (force) is measured in newtons
3.
In the above equation, what does d represent?
Distance of a beam
Distance from the line of action of the force to another force
Distance from the line of action of the force to the pivot
Distance to the pivot from the line of action of the force and back again
Measured in metres
4.
What is a moment measured in?
N
m
N m
N/m
A moment is measured in newton metres if the force is in newtons and the distance measured in metres
5.
What is the centre of mass of an object?
It is a point on the object where the whole weight of the object seems to act
It is the central point of an object
It is a point just above the top of an object
The centre of mass of an object is never found at a point on an object
For an object which has its weight evenly distributed, this will be along a line of symmetry
6.
What is stability?
The ability of an object to maintain its original position
An object which will oscillate around a point after being displaced but will never come to rest
An object which continues to move away from its position after being displaced
None of the above
Tilting an object creates a moment
7.
Which statement is true for a body in stable equilibrium?
It continues to move away from its original position after being displaced
It returns to its original position after being displaced slightly
Both of the above
Neither of the above
The edge of the object acts as the pivot
8.
Which statement is true for a body in unstable equilibrium?
It returns to its original position after being displaced slightly
It continues to move away from its original position after being displaced
Both of the above
Neither of the above
When the imaginary perpendicular line joining the centre of mass to the centre of the Earth is outside of the base of the object, the moment created makes the object fall over
9.
How can the stability of an object be increased?
Lower its centre of mass
Increase the area of its base
Both of the above
Neither of the above
The lower an object's centre of mass is to the floor, the more stable it will be. A larger base will also ensure the tipping point for an object is increased
10.
If the total clockwise moment around a pivot is 10 N m and the total moment about a pivot is zero, what is the size of the anticlockwise moment?
1 N m
5 N m
10 N m
20 N m
According to the principle of moments, when the total moment is zero, the anticlockwise and clockwise moments must be equal
Author:  Martin Moore