ME 274 – Spring 2009 Examination No. 1 February 12, 2009
Name (Print) (Last)
(First)
Lecture Seat # (Div. 1 & 3 only)
Circle your instructor/lecture time: Krousgrill – 8:30
Rhoads – 11:30
Krousgrill – 3:30
INSTRUCTIONS Begin each problem in the space provided on the examination sheets. If additional space is required, use the paper provided to you. Work on one side of each sheet only, with only one problem on a sheet. All problems are of equal value and will be graded on the basis of 20 points maximum. Please remember that in order for you to obtain maximum credit for a problem, the solution must be clearly presented, i. e.: •
coordinate systems used must be clearly identified.
• •
where ever appropriate, free body diagrams must be drawn. These should be drawn separately from the given figures. units must be clearly stated as part of the answer.
•
vectors must be clearly identified with proper vector notation (e.g., v , v or v )
If the solution does not follow a logical thought process, it will be assumed in error.
Prob. 1 Prob. 2 Prob. 3 TOTAL
EQUATION SHEET v P = ˙x i + ˙y j = vP et ˙ e + R !˙ e =R R !
a P = x˙˙ i + y˙˙ j = v˙ P e t +
(
v P2 en !
)
(
)
˙˙ " R #˙ 2 e + R #˙˙ + 2 R˙ #˙ e = R R #
vB = vA + !
AB
" rB/A
aB = aA + !
AB
2 " r B / A # $ AB rB/A
v B = v A + (v B / A ) rel + ! " r B / A
(
a B = a A + ( a B / A ) rel + ! " r B / A + 2# " (v B / A ) rel + # " # " r B / A
dv dv =v dt ds
!=
d" dt
)