Is it possible to represent the symbolic eqn in terms of other argument?

[sfan]

Hi, guys,

for the vibration, how to represent U/U0 in terms of r, where r is equal to w/wn, and wn=(k/m)^1/2, as the natural frequency?

Please see the attachment.

Thank you in advance.

May the force be with you!

Shawn

[RichardJ · Accepted solution]

I can't read your worksheet, because it's in Prime 3.1 format, and the picture is clearly not the entire worksheet, but you can rewrite your final expression using the substitute keyword. Since r=w/wn, w=r*wn. So use the substitute keyword with w=r*wn. You can then use the substitute keyword again, with wn=(k/m)^1/2.

Edit. Actually, just change you second line to be w:=r*wn. Then the final line should evaluate the way you want.

[sfan]

Sorry that I made a mistake about the subscript, Fred got me corrected.

[Fred_Kohlhepp]

You have p with two subscripts--0 (zero) and o.  Your picture doesn't give enough information to address the problem.

[Werner_E]

I just did it MC15 and it worked like Richard had suggested (don't think that p.0 vs p.o was done on purpose):

[sfan]

Yep, I just tried it in Prime, works too.

Thank you

[sfan]

Yes, I made a mistake...

Sorry that I got overwhelmed but the mid term yesterday night.

Yours answer got me the desired result.

Thank you, Fred,

You are always helpful!