Minimum Turns for Equilibrium: Rope Winding on Cylinder with Belt Friction

In summary, the conversation discusses a homework problem involving finding the minimum number of turns a rope should be wound around a cylinder to maintain equilibrium of weights with a coefficient of friction of 0.20. The masses of the weights are given and the person asking for help is looking for applicable equations and how to solve for the angle or B using the formula T2=T1 e^(mu*B). They then ask for help in solving the equation for B.
  • #1
maine0504
4
0

Homework Statement




find the minimum number of turns the rope should be wound around the cylinder to maintain equilibrium of the weights the coefficient of friction is 0.20 and the mass1= 80kg and mass2-2kg.
 
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  • #2
You must attempt the problem for anyone to help. What are the applicable equations?
 
  • #3
by using this formula how can i get the angle/B?

T2=T1 e^(mu*B)
 
  • #4
by using this formula how can i get the angle/B?

T2=T1 e^(mu*B)
 
  • #5
Solve the equation for B.
 
  • #6
LawrenceC said:
Solve the equation for B.
how?

can u please teach me..?
 
  • #7
Try this:



How would you solve e^x = 2?
 

1. What is belt friction?

Belt friction is the resistance or frictional force that occurs between two objects in contact with each other, where at least one of the objects is moving along a belt or surface.

2. How is belt friction calculated?

Belt friction can be calculated using the formula F = μN, where F is the frictional force, μ is the coefficient of friction, and N is the normal force.

3. What factors affect belt friction?

The coefficient of friction, normal force, and the materials of the objects in contact are the main factors that affect belt friction. Other factors include the speed of the moving object and the surface roughness of the objects.

4. How can belt friction be reduced?

Belt friction can be reduced by using lubricants or by increasing the surface area of contact between the objects. Additionally, using materials with lower coefficients of friction can also help reduce belt friction.

5. What are some real-world applications of belt friction?

Belt friction is commonly used in conveyor systems, where belts are used to transport objects from one place to another. It is also used in machinery such as pulleys, gears, and brakes, where friction is necessary for the proper functioning of the machine.

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