M1 review exercise question Watch

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The Chameleon
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Page 155 of M1 book.
Review exercise 2, question 42. Too long to type and quite complicated to explain.

Anyway, only part i'm stuck on is 42)c
I have found the max value 1/3 but I can't seem to find minimum value 1/7
Could anyone help me out?

Thanks.
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Aitch
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Report 14 years ago
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(Original post by The Chameleon)
Page 155 of M1 book.
Review exercise 2, question 42. Too long to type and quite complicated to explain.

Anyway, only part i'm stuck on is 42)c
I have found the max value 1/3 but I can't seem to find minimum value 1/7
Could anyone help me out?

Thanks.
At the minimum value of (mu), A just reaches P
so in v^2=u^2 +2aS S=h
once B has landed, acceleration T=F=(mu)3mg=3ma so a =(-)g(mu)
so at P v^2=u^2 +2ah
gives 0 = 0.5gh(1-3(mu))-2hg(mu) [u^2 from part (b)]
gives eventually 0 = 1-7(mu)
so at limit (mu) = 1/7

Aitch
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The Chameleon
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Report Thread starter 14 years ago
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(Original post by Aitch)
At the minimum value of (mu), A just reaches P
so in v^2=u^2 +2aS S=h
once B has landed, acceleration T=F=(mu)3mg=3ma so a =(-)g(mu)
so at P v^2=u^2 +2ah
gives 0 = 0.5gh(1-3(mu))-2hg(mu) [u^2 from part (b)]
gives eventually 0 = 1-7(mu)
so at limit (mu) = 1/7

Aitch
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