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Consider two uniform solid spheres where one has twicethe mass and twice the dia

ID: 1746319 • Letter: C

Question

Consider two uniform solid spheres where one has twicethe mass and twice the diameter of the other. The ratio of thelarger moment of inertia to that of the smaller moment of inertiais ? Please give step by step instructions for 10 points Consider two uniform solid spheres where one has twicethe mass and twice the diameter of the other. The ratio of thelarger moment of inertia to that of the smaller moment of inertiais ? Please give step by step instructions for 10 points Please give step by step instructions for 10 points

Explanation / Answer

Moment of inertia of smaller sphere = Is =(2/5)M1R12 Moment of inertia of larger sphere = IL= (2/5)M2R22 Given that          M2= 2M1          R1= d1 / 2          R2= d1 = 2R1                                                     IL = (2/5) 2M1*4R12                                                         = (16 /5)M1R12            IL / Is = (16/5)M1R12   / (2/5)M1R12                       =   16 /5   / 2/5                    IL/ Is = 8                                                     IL = (2/5) 2M1*4R12                                                         = (16 /5)M1R12            IL / Is = (16/5)M1R12   / (2/5)M1R12                       =   16 /5   / 2/5                    IL/ Is = 8
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