Math  /  Math Statement

QuestionTwo discs with masses m m and 4m 4m and radii a a and 2a 2a roll without slipping. True statements? (A) Angular speed of center of mass is ω/5 \omega / 5 (B) Angular momentum about O O is 81ma2ω 81 m a^{2} \omega (C) Angular momentum about center of mass is 17ma2ω/2 17 ma^{2} \omega / 2 (D) z z -component of L \vec{L} is 55ma2ω 55 m a^{2} \omega

Studdy Solution
Substitute the calculated value of I I into the equation above=100.5ma2ω\vec{} =100.5ma^2 \omegaStatements A, B and C are false, while statement D is true because the z-component of \vec{} being 55ma2ω55ma^2\omega can only mean that there must be an additional body not considered in this model which has its own angular momentum of (100.555)ma2ω=45.5ma2ω (100.5 -55)ma^2\omega =45.5ma^2\omega . This may be the ground which can sustain angular momentum if there is slippage, causing the rolling of the assembly to not be pure..

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