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A sphere, disc and a ring each having same mass M and radius R roll down without slipping from an inclined plane. Which of three will reach foot of inclined plane first: |
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Answer» Ring `a=(gsintheta)/(1+1//MR^(2))` For sphere `I=(2)/(5)MR^(2)` `therefore a_("shere")=(5)/(7)gsintheta=0.7gsintheta` For disc `I=(1)/(2)MR^(2)` `therefore a_("disc")=(2)/(3)gsintheta=0.66gsintheta` For ring `I=MR^(2)` `therefore a_("ring")=(1)/(2)gsintheta=0.5gsintheta` Since acceleration is maximum for sphere therefore sphere will reach the ground FIRST. |
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