A slender rod with length L has a mass per unit length that varies with distance from the left-hand end, where z=0, according to dm/dz y, where y has units of kg/m². For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Uniform sphere with radius r, axis through center. Part A Calculate the total mass of the rod in terms of Yand L. Express your answer in terms of the variables Yand L. IVD ΑΣΦ h @ C da xj √x vx x x LXI M= Submit Previous Answers Request Answer * Incorrect; Try Again; 3 attempts remaining The correct answer does not depend on: ML. ▾ Part B Use I = fr² dm to calculate the moment of inertia of the rod for an axis at the left-hand end, perpendicular to the rod. Use the expression you derived in part A to express I in terms of M and L. Express your answer in terms of the variables M and L ΠΑΠΑΣΦ g ? Request Answer ▾ Part C Repeat part B for an axis at the right-hand end of the rod. Express your answer in terms of the variables M and L. VG] ΑΣΦ pag ? I= Submit ? X.10 M

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18th Edition
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Chapter2: Vectors
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A slender rod with length L has a mass per unit length that varies with distance from the left-hand
end, where = 0, according to dm/dx = y, where y has units of kg/m².
For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of
Uniform sphere with radius r, axis through center.
Part A
Calculate the total mass of the rod in terms of Y and L.
Express your answer
terms of the variables y and L.
ΓΙΑΣ.
6
IXI
?
X. 10m
ⒸHAR
M=
Submit
Previous Answers Request Answer
* Incorrect; Try Again; 3 attempts remaining
The correct answer does not depend on: ML.
Part B
Use I = fr² dm to calculate the moment of inertia of the rod for an axis at the left-hand end, perpendicular to the rod. Use the expression you derived in part A to express I in terms of M and L.
Express your answer in terms of the variables M and L.
ΠΙΑΣΦΗ
I =
Submit
Request Answer
Part C
Repeat part B for an axis at the right-hand end of the rod.
Express your answer in terms of the variables M and L.
ΠΙΑΣΦΗ
?
I=
Transcribed Image Text:A slender rod with length L has a mass per unit length that varies with distance from the left-hand end, where = 0, according to dm/dx = y, where y has units of kg/m². For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Uniform sphere with radius r, axis through center. Part A Calculate the total mass of the rod in terms of Y and L. Express your answer terms of the variables y and L. ΓΙΑΣ. 6 IXI ? X. 10m ⒸHAR M= Submit Previous Answers Request Answer * Incorrect; Try Again; 3 attempts remaining The correct answer does not depend on: ML. Part B Use I = fr² dm to calculate the moment of inertia of the rod for an axis at the left-hand end, perpendicular to the rod. Use the expression you derived in part A to express I in terms of M and L. Express your answer in terms of the variables M and L. ΠΙΑΣΦΗ I = Submit Request Answer Part C Repeat part B for an axis at the right-hand end of the rod. Express your answer in terms of the variables M and L. ΠΙΑΣΦΗ ? I=
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