Calculate the translational speed of a cylinder when itreaches the foot of an in

Question

Calculate the translational speed of a cylinder when itreaches the foot of an inclide 7.2 m high. Assume it starts fromrests and rolls without slipping. I'm unsure what the question is asking for. It says"translational speed" howeve it is in a section for rotational plustranslational motion. So, when I use conservation of energyto do this problem do I only figure out the 1/2mv^2 portion of theequation for the translational speed? Thanks Calculate the translational speed of a cylinder when itreaches the foot of an inclide 7.2 m high. Assume it starts fromrests and rolls without slipping. I'm unsure what the question is asking for. It says"translational speed" howeve it is in a section for rotational plustranslational motion. So, when I use conservation of energyto do this problem do I only figure out the 1/2mv^2 portion of theequation for the translational speed? Thanks

Explanation / Answer

       Given that the height ofthe plane is H = 7.2 m ----------------------------------------------------------------       Apply conservation of energy atbottom and top of the incline                                 mgH = (1/2)mV2 + (1/2)I2                       mgH= (1/2)mV2 +(1/2)(1/2)mR2(V/R)2                       mgH= (1/2)mV2 +(1/4)mV2                                                   gH = (3/4)V2                           V= (4gH / 3 )1/2                                 =---------- m/s                           mgH= (1/2)mV2 +(1/4)mV2                                                   gH = (3/4)V2                           V= (4gH / 3 )1/2                                 =---------- m/s    

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