Answer to Question #110541 in Mechanics | Relativity for atta

Question #110541
a cylindrical drum has radius r and weight W. the drum is to be rolled over onto a step of height r/2 by a horizontal force F applied to the top of the drum
what is the minimum force F required for the drum to start rolling on the step?
1
Expert's answer
2020-04-21T19:10:14-0400

F(rh)=Wr2(rh)2F(r-h)=W\sqrt{r^2-(r-h)^2}

h=0.5rh=0.5r

F(r0.5r)=Wr2(r0.5r)2F(r-0.5r)=W\sqrt{r^2-(r-0.5r)^2}

F(0.5r)=W0.75r2F(0.5r)=W\sqrt{0.75r^2}

F=3WF=\sqrt{3}W


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Comments

Athar
28.04.20, 06:04

The perpendicular distance between top of drum and pivot point isn't be 2r-h

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