Problem 9: Consider a rod of length L with a non-uniform mass distribution given by A = A + Bx where A and B are positive constants, and x = 0 is at the axis of rotation, which is the left end.

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Problem 9: Consider a rod of length L with a non-uniform mass distribution given by λ = A + Bx2 where A and B are positive constants, and x = 0 is at the axis of rotation, which is 4/3
the left end.
A = ny/m
Part (a) What are the units of A?
✓ Correct!
Part (b) What are the units of B?
✓ Correct!
B = kg/m³
$
Part (c) Find the total moment of inertia of this rod for the given axis (4/3 from the left end).
I= (( AL³ )/g) + (( 11 B L5 )/405) X Attempts Remain
Part (d) Find the total mass of the rod.
m = AL + ((BL³ )/g )|
Transcribed Image Text:Problem 9: Consider a rod of length L with a non-uniform mass distribution given by λ = A + Bx2 where A and B are positive constants, and x = 0 is at the axis of rotation, which is 4/3 the left end. A = ny/m Part (a) What are the units of A? ✓ Correct! Part (b) What are the units of B? ✓ Correct! B = kg/m³ $ Part (c) Find the total moment of inertia of this rod for the given axis (4/3 from the left end). I= (( AL³ )/g) + (( 11 B L5 )/405) X Attempts Remain Part (d) Find the total mass of the rod. m = AL + ((BL³ )/g )|
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