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Physics 203

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A hollow, thin-walled cylinder and a solid sphere start from rest and roll without slipping down an inclined plane of length 5.0 m. The cylinder arrives at the bottom of the plane 2.7 s after the sphere. Determine the angle between the inclined plane and the horizontal.

  • Physics 203 -

    5m=1/2(5/7*(9.81*sin(theta))*((2.7*sqrt(1/2))^2)/((sqrt(5/7)-sqrt(1/2)))^2)

    All you need to do is solve for sin(theta)

    you do 5*((sqrt(5/7)-sqrt(1/2)))^2)*2*7/((5*9.81*((2.7*sqrt(1/2))^2))

    sin(theta)=0.00746

    then you do the inverse of sin(theta) to get your degree. degree should equal 0.428

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