We’ve been looking at weights as point loads. But mass/objects in reality occupy a volume, and therefore the weight is acting in a distributive manner rather than as a point load.
However we can still treat it as a point load if we find a point in the mass which represents the effective single point where the total weight is acting on. This is called the centre of mass (CoM).
It is useful to find the CoM as it helps us to simplify our statics calculations:
We’ve been looking at weights as point loads. But mass/objects in reality occupy a volume, and therefore the weight is acting in a distributive manner rather than as a point load.
However we can still treat it as a point load if we find a point in the mass which represents the effective single point where the total weight is acting on. This is called the centre of mass (CoM).
It is useful to find the CoM as it helps us to simplify our statics calculations:
The next question is, how do we calculate the CoM? Thanks to Isaac Newton, we can use integration to evaluate our CoM:
There will be no examples for this section, as CoM is of more interest in Dynamics. In Statics, we’re more interested in centroids.
The next question is, how do we calculate the CoM? Thanks to Isaac Newton, we can use integration to evaluate our CoM:
There will be no examples for this section, as CoM is of more interest in Dynamics. In Statics, we’re more interested in centroids.