Monday, 6 October 2014

A Yorkshire moment in Malham

The flags of Yorkshire and England flying outside the pub in Malham. The flagpole is an example of a cantilever - a beam sticking out horizontally with one end fixed. The beam itself will have weight - if it is uniform this is modelled as all existing at its centre of mass half way along. Then the weight of the flag will add to that. These weights will pull downwards on the flagpole and try to turn it anti-clockwise around the fixed point. So we would say that there was an anti-clockwise moment - an anti-clockwise turning force. But nothing is turning so the support on the wall must provide an equal and opposite clockwise moment. The size of this equal and opposite clockwise moment will depend on whether there is a flag on the pole so it must be self-adjusting, which is quite clever. There will also be sideways forces when the wind is blowing, producing moments in a horizontal plane. Again there will be equal and opposite moments at the wall.