of the ma objects of equal mass are shown below to- Select speed of the 0.540m?
ID: 1395707 • Letter: O
Question
of the ma objects of equal mass are shown below to- Select speed of the 0.540m? Select 1. [1pt] Five objects of equal mass are showi" gether with the axis about which they are ro the objects i the smallest r with the largest r are rotating. ng. Select of the m mallest rotational energy, then A, C, D, and finally e largest rotational energy, enter BACDE (Note: I multiple objects have the same rotational energy, then enter them in the order they appear below.) A) Thin cylindrical shell, about cylinder axis with R 2m and us8rad/ s B) Thin rod about axis through center to length with 1 = 11m and w=5rad/s C) Solid Sphere, about any di- ameter, with R = 3m and 2R Trad/ s A large plat equal mass D) frictionless hel, abont and (Select ne.y Thin Spherical shell, about any pendicular t towards opp (Select T-T the same.). diameter, with R = 2m and w=Grad/ s 2R E) Solid Cylinder, about cylin- will have der axis with R = 2m and B) The st A) When w-Trad/s C) The rExplanation / Answer
A )
Icylinder = m R2 = m (2)2 = 4 m
w = 8 rad/s
Rotational KE = (0.5) I w2 = (0.5) (4m) (8)2 = 128m
B)
Irod = m L2/12 = m (11)2/12 = 10.1 m
w = 5 rad/s
Rotational KE = (0.5) I w2 = (0.5) (10.1m) (5)2 = 126.25m
C)
Isphere = 2m R2 /5 = 2m (3)2/5 = 3.6 m
w = 7 rad/s
Rotational KE = (0.5) I w2 = (0.5) (3.6m) (7)2 = 88.2m
D)
Isphere = 2m R2 /3= 2m (2)2/5 = 1.6 m
w = 6 rad/s
Rotational KE = (0.5) I w2 = (0.5) (1.6m) (6)2 = 28.8m
E)
Icylinder = m R2/2 = m (2)2/2 = 2 m
w = 7 rad/s
Rotational KE = (0.5) I w2 = (0.5) (2m) (7)2 = 49m
DECBA
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