How Much of a Rope Can Hang Over a Table Without Sliding?

AI Thread Summary
The discussion focuses on determining the maximum fraction of a rope that can hang over a table's edge without sliding, given a coefficient of static friction. The initial hypothesis suggests that this fraction could be 1/2. To prove this mathematically, participants are encouraged to analyze the forces acting on both the hanging and resting sections of the rope. A free-body diagram is recommended to visualize these forces and establish the conditions for when the rope begins to slide. The conversation emphasizes the importance of understanding static friction in this context.
frog210293
Messages
12
Reaction score
0

Homework Statement



a) If the co efficent of static friction between a table and a uniform massive rope is Us, what fraction of the rope can hang over the edge of the table without the rope sliding?


Homework Equations



F=mg

The Attempt at a Solution



The largest fraction of the rope able to overhang would be 1/2?, how would you go about proving that mathematically?

The force on the rope hanging down would be F=m*9.81

where to go from here?
 
Physics news on Phys.org
Make the free-body diagram for both pieces of the rope (hanging and resting on the table). Find the condition when it just starts to slide.

ehild
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Is it friction or tension acting on the person hanging on a rope?
Replies
4
Views
994
Cofficient of static friction between table and rope
Replies
3
Views
16K
Static friction and fraction of mass of rope that can hang.
Replies
1
Views
2K
Rope hanging from a table, find time taken to fall off table
Replies
12
Views
5K
Solve for the tension in a rope pulling a box
Replies
3
Views
2K
Mechanics problem -- a mass on a table that can freely move on wheels
Replies
4
Views
1K
Two blocks, a fixed pulley and friction
Replies
4
Views
3K
Tension of a rope with a hanging mass and acceleration
Replies
15
Views
20K
Webpage title: Optimal Angle for Pulling a Crate with a Friction Rope
Replies
8
Views
4K
Rope Sliding Over Friction less Peg
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top