CQ100908

CQ100908 - As part of an examination a few years ago a...

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Unformatted text preview: As part of an examination a few years ago, a student went through the manipulations on an exam shown at the right. At this point you don't know what the symbols mean, but given the dimensions associated with each symbol, decide whether the conclusion (Eq. D) can possibly be correct. ( A) [M ] = M [ g ] = L/T 2 [h] = L [ ] = 1/T [ v ] = L/T [ R] = L [ I ] = ML2 9/8/10 Mgh = 1 Mv 2 + 1 I 2 2 ( B) Mgh = 1 Mv 2 + 2 (C ) Mgh = Mv + 1 2 2 2 1 2 ( 1 2 ( MR ) MR 2 2 ) 2 2 v R 2 ( D ) gh = 1 v 2 + 1 v 4 2 2 1. Yes 2. No 3. You can’t tell without more information 7 If we agree that (Eq. D) cannot possibly be correct because of dimensions, is it because the starting equation (Eq. A) is dimensionally incorrect? ( A) [M ] = M [ g ] = L/T 2 [h] = L [ ] = 1/T [ v ] = L/T [ R] = L [ I ] = ML2 9/8/10 Mgh = 1 Mv 2 + 1 I 2 2 ( B) Mgh = 1 Mv 2 + 2 (C ) Mgh = Mv + 1 2 2 2 1 2 ( 1 2 ( MR ) MR 2 2 ) 2 2 v R 2 ( D ) gh = 1 v 2 + 1 v 4 2 2 1. Yes 2. No 3. You can’t tell without more information 8 ...
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CQ100908 - As part of an examination a few years ago a...

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