Question

Draw a free-body diagram for the cylinder: W Take the torque about the contact point to solve for the acceleration: τ(net) = Iα = Fd a = Rα α = (a)/(R) I = I(cm) + Mx^(2) I = (MR^(2))/(2) + (MR^(2))/(4) F = w sin θ F = Mg sin θ Ex: A cylinder of mass M and radius R rolls (without slipping) down an inclined plane whose incline angle with the horizontal is θ. Determine the acceleration of the cylinder's center of mass, and the minimum coefficient of friction that will allow the cylinder to roll without slipping on this incline Draw a free-body diagram for the cylinder: Take the torque about the contact point to solve for the acceleration: a = Ra a a= R τnet = Iα = Fd w sin I = Icm + Mx2 MR2 + MR2 2 W F = w sin θ F = Mg sin θ

          Draw a free-body diagram for the cylinder:
W
Take the torque about the contact point to solve
for the acceleration:
τ(net) = Iα = Fd
a = Rα
α = (a)/(R)
I = I(cm) + Mx^(2)
I = (MR^(2))/(2) + (MR^(2))/(4)
F = w sin θ
F = Mg sin θ
Ex: A cylinder of mass M and radius R rolls (without slipping) down an inclined plane whose incline angle with the horizontal is θ. Determine the acceleration of the cylinder's center of mass, and the minimum coefficient of friction that will allow the cylinder to roll without slipping on this incline
Draw a free-body diagram for the cylinder:
Take the torque about the contact point to solve for the acceleration:
a = Ra a a= R
τnet = Iα = Fd
w sin
I = Icm + Mx2 MR2 + MR2 2
W
F = w sin θ F = Mg sin θ

draw a free body diagram for the cylinder w take the torque about the contact point to solve for the acceleration net i fd a r ar i icm mx2 i mr22 mr24 f w sin f mg sin ex a cylinder of mass 65456

Added by Frank D.

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