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e moment of inertia of a solid sphere that is rotating about any diameter is equal to I0 = 2/5 MR2 . If the mass of the sphere is doubled but the radius is reduced in half, how does the moment of inertia change? It becomes 1/16 of the initial moment of inertia It becomes 1/4 of the initial moment of inertia It becomes 1/2 of the initial moment of inertia It becomes 1/8 of the initial moment of inertia How does the rotational energy of a body change if the angular velocity is doubl

e moment of inertia of a solid sphere that is rotating about any diameter is equal to I0 = 2/5 MR2 . If the mass of the sphere is doubled but the radius is reduced in half, how does the moment of inertia change? It becomes 1/16 of the initial moment of inertia It becomes 1/4 of the initial moment of inertia It becomes 1/2 of the initial moment of inertia It becomes 1/8 of the initial moment of inertia How does the rotational energy of a body change if the angular velocity is doubl

University Physics Volume 3
University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter1: The Nature Of Light
Section: Chapter Questions
Problem 34P: Suppose a man stands in front of a mm-or as show below. His eyes are 1.65 m above the floor and the...
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The moment of inertia of a solid sphere that is rotating about any diameter is equal to I0 = 2/5 MR2 .  If the mass of the sphere is doubled but the radius is reduced in half, how does the moment of inertia change?

It becomes 1/16 of the initial moment of inertia
It becomes 1/4 of the initial moment of inertia
It becomes 1/2 of the initial moment of inertia
It becomes 1/8 of the initial moment of inertia
 
How does the rotational energy of a body change if the angular velocity is doubled?

the rotational energy increases by a factor of 8.
the rotational energy increases by a factor of 2.
the rotational energy does not change.
the rotational energy increases by a factor of 4.
 
/= 1 = MR² | = Axis 1 = R MR2 2 12 Axis L 2MR2 5 Axis R Axis Axis Hoop about cylinder axis Solid cylinder (or disk) about cylinder axis Thin rod about axis through center to length Solid sphere 2R about any diameter /= Hoop about any diameter MR2 2 1 = 1 = M (R³+R³) 1 = = Axis MR2 MR + 4 12 Axis MIR 3 Axis L Axis 1= 2MR² 3 Axis Annular cylinder (or ring) about cylinder axis a M(a² + b²) 12 Solid cylinder (or disk) about central diameter Thin rod about axis through one end to length Thin 2R spherical shell about any diameter Slab about Laxis through center
Transcribed Image Text:/= 1 = MR² | = Axis 1 = R MR2 2 12 Axis L 2MR2 5 Axis R Axis Axis Hoop about cylinder axis Solid cylinder (or disk) about cylinder axis Thin rod about axis through center to length Solid sphere 2R about any diameter /= Hoop about any diameter MR2 2 1 = 1 = M (R³+R³) 1 = = Axis MR2 MR + 4 12 Axis MIR 3 Axis L Axis 1= 2MR² 3 Axis Annular cylinder (or ring) about cylinder axis a M(a² + b²) 12 Solid cylinder (or disk) about central diameter Thin rod about axis through one end to length Thin 2R spherical shell about any diameter Slab about Laxis through center
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