http://maxpapers.com/wp-content/uploads/2012/11/9709_s13_qp_52.pdf q6
Should we take the moment about V?
how much time do you have for this problem?
10 minutes.
yeah 10 minutes is not enough for a question i guess we have to use y'=m(cone)*d0+m(particle)*d1/m(particle)+m(cone)
Lol, good night and thanks for your time :)
@IrishBoy123
which bit if part i, ie for the CoM, are you taught formula, or do you want to integrate? volume of rev of the cone ...
nope just the formula
what reference point should we use the vertex point V as the origin or at the bottom in the axis of symmetry
what is the formula for a cone, where is its CoM. not something i carry around for the particle, you just need to resolve it along the axis
do it about any point you like but you need a formula for that point.
The position of the center of mass of a solid cone is 3/4*height from the vertex.
or 1/4 from the base...same thing. but go from the vertex. P is 0.4 cos 60 from vertex
shouldnt we use 1/4 fro the base if we use the base as the origin.
either way works, you can work from the top and then adjust. i'd go from the top because we resolve the 0.4 particle thingy from the vertex, but you decide. once we know the distance from the vertex, we use the 0.6 height to make it the distance from the base.
or use the base as the origin. either way is good
0.6 * (3/4) * 0.5 + 0.4 *(1/2) * 0.2 = 0.8 * x from the vertex
do you agree? or do we need to draw something?
typo, should be 0.7* x
|dw:1431892749640:dw|
for the CoM, we are calculating moments about the axis shown, as if the whole thing ws spinning into the page |dw:1431903892651:dw|
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