5. Consider a uniform hollow cylinder of mass M, radius R and side length L originally in an upright configuration (so its initial height is equal to L). The cylinder is made of stacks of wooden rings that allow it to be tilted just like you tilt a column made by several books stacked together. Assume that the cylinder now leans rightward such that its side makes an angle 0 with respect to the vertical. The side view of the cylinder before and after tilting is shown on the right. Assume that the ground is frictionless and exerts only two forces on the cylinder, namely, a normal force F, on its left side and a normal force FR on its right side. 2R- -2R- Express F and FRin the rest of the parameters given to you. Based on your result of part (a), discuss the requirement on L in order to avoid the cylinder from tipping over, assuming that M, R, and 0 are all fixed. [Hint: when the cylinder is just about to tip over, one of the two normal forces provided by the ground should be zero.] (a) (b)

icon
Related questions
Question
5.
Consider a uniform hollow cylinder of mass M, radius
R and side length L originally in an upright configuration (so its
initial height is equal to L). The cylinder is made of stacks of
wooden rings that allow it to be tilted just like you tilt a column
made by several books stacked together. Assume that the
cylinder now leans rightward such that its side makes an angle 0
with respect to the vertical. The side view of the cylinder before
and after tilting is shown on the right. Assume that the ground is frictionless and exerts only
two forces on the cylinder, namely, a normal force F, on its left side and a normal force FR on
its right side.
(a)
(b)
cylinder from tipping over, assuming that M, R, and 0 are all fixed. [Hint: when the cylinder is
just about to tip over, one of the two normal forces provided by the ground should be zero.]
-2R-
- 2R-
Express F and FR in the rest of the parameters given to you.
Based on your result of part (a), discuss the requirement on L in order to avoid the
Transcribed Image Text:5. Consider a uniform hollow cylinder of mass M, radius R and side length L originally in an upright configuration (so its initial height is equal to L). The cylinder is made of stacks of wooden rings that allow it to be tilted just like you tilt a column made by several books stacked together. Assume that the cylinder now leans rightward such that its side makes an angle 0 with respect to the vertical. The side view of the cylinder before and after tilting is shown on the right. Assume that the ground is frictionless and exerts only two forces on the cylinder, namely, a normal force F, on its left side and a normal force FR on its right side. (a) (b) cylinder from tipping over, assuming that M, R, and 0 are all fixed. [Hint: when the cylinder is just about to tip over, one of the two normal forces provided by the ground should be zero.] -2R- - 2R- Express F and FR in the rest of the parameters given to you. Based on your result of part (a), discuss the requirement on L in order to avoid the
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions