### Re: How far from 90 degrees can a bowling pin move before it falls over?

Date: Tue Dec 3 12:30:59 2002
Posted By: Jocelyn Wishart, Lecturer, Education, Loughborough University
Area of science: Physics
ID: 1038801288.Ph
Message:
```
i'm afraid you are going to have to experiment on that one as you will
need to find out the centre of mass of the bowling pin.  The centre of
mass will be on the axis of the pin but the height will depend on how top
or bottom heavy the club is.

See page 8 of this guide to find out how to locate the centre of mass and
to read up on falling over.
http://www.mastep.org.na/PhysSc/IGCSEPSc/Forces.pdf

Assuming the bowling pin is of uniform density then you could use
cardboard cut to  a flat bowling pin shape to locate the height of the
centre of mass. This would be easiest.

An object will topple when a line drawn from the centre of mass vertically
downwards does not pass through its base.

The angle between the base of the pin and the ground when this happens
will be

90 degrees – the angle for which the tangent equals (height of centre of
mass (h)) divided by (radius of the base of the bowling pin(w))

```

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