A uniform-density rod of mass m and length L is pivoted at the left end as shown. A point particle of mass Mis attached to the middle of the rod (L/2 from the pivot). The rod is released from rest from the horizontal position. Which is the correct equation that will allow you to solve for the angular speed of the rod/particle combination right as it passes through the vertical position? Pivot L/2

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A uniform-density rod of mass m and length Lis pivoted at the left end as shown. A
point particle of mass Mis attached to the middle of the rod (L/2 from the pivot).
The rod is released from rest from the horizontal position.
Which is the correct equation that will allow you to solve for the angular speed of
the rod/particle combination right as it passes through the vertical position?
Pivot
L/2
Transcribed Image Text:A uniform-density rod of mass m and length Lis pivoted at the left end as shown. A point particle of mass Mis attached to the middle of the rod (L/2 from the pivot). The rod is released from rest from the horizontal position. Which is the correct equation that will allow you to solve for the angular speed of the rod/particle combination right as it passes through the vertical position? Pivot L/2
1 (1
mL² + ML² w?
2
mgL+ Mg
()-
2
mg2
1
-mL² +m
+ Mg-
2
L
mgL + Mg
1
-mL² + m
3
)
2
mal + Mo -m + (9)-
L
1
1
mL² + M
12
2
2
+ Mg-
mg
2
1
mL² + M
Transcribed Image Text:1 (1 mL² + ML² w? 2 mgL+ Mg ()- 2 mg2 1 -mL² +m + Mg- 2 L mgL + Mg 1 -mL² + m 3 ) 2 mal + Mo -m + (9)- L 1 1 mL² + M 12 2 2 + Mg- mg 2 1 mL² + M
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