Help Please! Five objects of equal mass are shown below together with the axis a

Question

Help Please! Five objects of equal mass are shown below together with the axis about which they are rotating. Select the objects in order of increasing rotational energy. If B has the smallest rotational energy, then A, C, D, and finally E with the largest rotational energy, enter BACDE (Note: If multiple objects have the same rotational energy, then enter them in the order they appear below.)The physical parameters of the various objects are on the printed assignment.

Thin cylindrical shell, about cylinder axis with R = 2m and W6rad/s(Note: Moment of inertia of a thin cylindrical shell is the same as that of a thin hoop, just M R^2) Thin rod, about axis through center, perpendicular to the length with l = 8m and W=5rad/s Solid Cylinder, about cylinder axis with R = 3m and W=5rad/s Solid Sphere, about any diameter, with R = 4m and w=5rad/s Thin Spherical shell, about any diameter, with R = 2m and W=7rad/s (Note: Moment of inertia of such a thin shell is (2/3) M R^2)

Explanation / Answer

In this problem, several shapes are given and the rotational energies must be calculated. In each case, simply plug in the value of R or l that is given in CAPA to the variables listed below. Remember that if you plug in multiple numbers for the single variable in the equation that all the numbers you plug in must be squared, square rooted, etc.

A) The rotational energy for a solid cylinder is I = 1/ 2MR2

=0.5*M*2^2

R.E=2M

B) The rotational energy for a thin spherical shell is I = 2/ 3ML2

0.66*M*8^2

R.E=42.24M

C) The rotational energy for a thin rod about center axis is R = 1/ 12MR2

I=0.083*M*3^2

R.E=0.747M

D) The rotational energy for a thin cylindrical shell is I = MR2

=M*4^2

R.E=16M

E) The rotational energy for a solid sphere is I

= 2/ 3MR2

=0.6*M*4^2

R.E=10.6M

Rank will be

R.E1=2M------2

R.E2=42.24M----5

R.E3=0.747M-----1

R.E4=16M----4

R.E=10.6M----3

so answer is CAEDB

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