- #1

benjamintpike

- 9

- 0

First off I don't believe this would be classed as a homework question, as this is an engineering design project problem and I haven't been to school for over ten years, however if I am wrong I apologise.

The object I want to knock down is a skittle:

h = distance from centre of gravity to tipping point (makes the hypoteneuse of the triangle)

x = length of centre of gravity from base of the skittle (makes the vertical)

y = the radius of the object (completing the horizontal and therefore the triangle)

I need to knock down a skittle of certain mass, dimensions etc, so by using triangles, pythag. I worked out h

then by saying that the potential energy to knock it down is the energy in the distance that it takes to move the centre of gravity directly above the tipping point, which makes h vertical so therefore the energy in the difference between h and x would be the absoluet minimum I need and therefore used this E = (h - x)W... (think that works).

Now here is where I can not see the woods from the trees... I am using gravity as the accelerator and therefore height, on a curve so as to keep dirctional change losses minimal...also the distance from the end of the curve to the skittle is a metre, so the ball will be rolling and declerating for a metre.

How do I work backwards using the energy that I worked out on the skittle to eventually end up with a height that will give me a force = to the one I need at the skittle?

What equations do I need and please annotate the definitions of the equations i.e. v = velocity otherwise I will probably get confused.

I appreciate all answers to this problem and look forward to some direction on this.

Thank you all in advance

**My problem is:-**The object I want to knock down is a skittle:

h = distance from centre of gravity to tipping point (makes the hypoteneuse of the triangle)

x = length of centre of gravity from base of the skittle (makes the vertical)

y = the radius of the object (completing the horizontal and therefore the triangle)

I need to knock down a skittle of certain mass, dimensions etc, so by using triangles, pythag. I worked out h

then by saying that the potential energy to knock it down is the energy in the distance that it takes to move the centre of gravity directly above the tipping point, which makes h vertical so therefore the energy in the difference between h and x would be the absoluet minimum I need and therefore used this E = (h - x)W... (think that works).

**(Using a hockey ball to knock it down)**Now here is where I can not see the woods from the trees... I am using gravity as the accelerator and therefore height, on a curve so as to keep dirctional change losses minimal...also the distance from the end of the curve to the skittle is a metre, so the ball will be rolling and declerating for a metre.

How do I work backwards using the energy that I worked out on the skittle to eventually end up with a height that will give me a force = to the one I need at the skittle?

What equations do I need and please annotate the definitions of the equations i.e. v = velocity otherwise I will probably get confused.

I appreciate all answers to this problem and look forward to some direction on this.

Thank you all in advance

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