2 solid uniform disks made of same materials one disk is twice radius. The small

Question

2 solid uniform disks made of same materials one disk is twice radius. The small disk is allowed to role(and doesn't slip) from rest down an incline and moves distance din time t. The larger disk is allowed to roll down the same inclineand travels distance d in what time? 2 solid uniform disks made of same materials one disk is twice radius. The small disk is allowed to role(and doesn't slip) from rest down an incline and moves distance din time t. The larger disk is allowed to roll down the same inclineand travels distance d in what time?

Explanation / Answer

We know that      angular acceleration of the disc = a / R2                                          ==. / t = a / R2 Therefore we have                   t   R2 ==> t s / t L =Rs2 / RL2 Given that           RL = 2 Rs    ==> t L = ts * RL2/ Rs2 = ts * 4 Rs2 /Rs2 = 4 ts      larger disc takes the 4 times the time ofsmaller disc.

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