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