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m2 folded lamina problem

https://ca99c64778b62ba7e7b339967029e090c5733c3a.googledrive.com/host/0B1ZiqBksUHNYOXdJSDFGUUZPRUE/June%202013%20(R)%20QP%20-%20M2%20Edexcel.pdf

for q6 how do I approach part b?

Do i model the lamina as if the width is uniform throughout?

I've never seen a question like this before :s-smilie:

Reply 1

Cryptokyo

Treat it as a trapezium lamina and a triangle lamina then do it how you would normally do centre of mass questions. The folding just ensures that do not share the area at which they both appear to share in the diagram.

Reply 2

Cryptokyo

I would advise taking moments from the midpoint of the line BC.

Reply 3

Katiee224

Original post by Cryptokyo

so the overall area of the lamina will be the same as in part a?

I model it the same as part a but with difference centre of masses for the triangle and trapezium?

or are you saying i should use the area of new the smaller triangle?

(edited 7 years ago)

Reply 4

ghostwalker

Original post by Katiee224

so the overall area of the lamina will be the same as in part a?

That's correct.

I model it the same as part a but with difference centre of masses for the triangle and trapezium?

or are you saying i should use the area of new the smaller triangle?

Two areas.
1) the trapezium. You worked out it's centre of mass in part a.
2) the triangle ADE, which is now folded down.

These are the two areas that make up your folded shape.

Then standard method for the CofM of the new shape.