Reaction and friction coefficient on a cylinder

AI Thread Summary
The discussion revolves around calculating the tension in a rope holding a 200 N cylinder on a rough surface and determining the minimal coefficient of friction. The user initially calculated the torque created by the cylinder's weight and the tension but found an error in their calculations. After correcting the weight from 200 N to a mass of 200 kg, the tension was recalculated to be 654 N. The user clarified that the discrepancy arose from confusing weight and mass, leading to a better understanding of the relationship between tension and friction. The focus remains on accurately determining the friction coefficient after resolving the tension calculation.
Karol
Messages
1,380
Reaction score
22

Homework Statement


The cylinder weighs 200[N] and lies on a rough surface. a rope holds it in place.
What's the tension T in the rope and what's the minimal coefficient of friction.

Homework Equations


Friction: f=μN

The Attempt at a Solution


All the geometry i have drawn. T balances the torque made by the weight of the cylinder. i calculate torque round the point of contact with the inclined surface:
The distance d from the line of action of T:
$$d=\frac{R}{\tan30^0}\cdot \sin 60^0$$
Now the torque from the weight equals the torque from T:
$$200R\cdot \sin 30^0=T\cdot d\rightarrow T=66.7$$
It should be 654 and i don't continue yet to the friction coefficient.
Edit: i found my mistake, in Newtons it comes out right. now i will try to find the coefficient of friction
 

Attachments

  • Snap1.jpg
    Snap1.jpg
    14.3 KB · Views: 446
Last edited:
Physics news on Phys.org
I get 654 N if the cylinder has a mass of 200 kg instead of a weight of 200N.

654/66.7=9.81 made the difference clear.
 
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...
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...
Back
Top