The wheel will roll up if the torque due to the horizontal force (tau_F) exceeds the torque due to the force of gravity (tau_g) .
tau_g=Mgsin(alpha)=Mg[sqrt(R^2-(R-h)^2)/R]
tau_F=Fcos(alpha)=F(R-h)/R
tau_Fgttau_g
F(R-h)/RgtMg[sqrt(R^2-(R-h)^2)/R]
FgtMg*sqrt(R^2-(R-h)^2)/(R-h)
This is the solution. Notice if h->R Then F ->oo . If h->0 , F->0 . This is intuitively reasonable.
http://hyperphysics.phy-astr.gsu.edu/hbase/torq.html
Tuesday, January 24, 2017
Consider a wheel of mass M and radius R up against a ledge of height h , where hltR . What horizontal force F do you have to apply to the axle to roll the wheel up over the ledge?
Subscribe to:
Post Comments (Atom)
Why is the fact that the Americans are helping the Russians important?
In the late author Tom Clancy’s first novel, The Hunt for Red October, the assistance rendered to the Russians by the United States is impor...
-
Lionel Wallace is the subject of most of "The Door in the Wall" by H.G. Wells. The narrator, Redmond, tells about Wallace's li...
-
Resourceful: Phileas Fogg doesn't let unexpected obstacles deter him. For example, when the railroad tracks all of a sudden end in India...
-
In the late author Tom Clancy’s first novel, The Hunt for Red October, the assistance rendered to the Russians by the United States is impor...
-
Friar Lawrence plays a significant role in Romeo and Juliet's fate and is responsible not only for secretly marrying the two lovers but ...
-
Back in Belmont, the place of love contrasted with the sordid business arena of Venice, Lorenzo and Jessica make three mythological referenc...
-
The poem contrasts the nighttime, imaginative world of a child with his daytime, prosaic world. In the first stanza, the child, on going to ...
-
I would like to start by making it clear that this story is told from the third person omniscient point of view. At no point is the story to...
No comments:
Post a Comment