How Do You Calculate the Coefficient of Kinetic Friction in a Pulley System?

In summary, the conversation discusses a problem involving two objects with different masses connected by a string over a frictionless pulley. The goal is to determine the coefficient of kinetic friction between one of the objects and the desk. The participants discuss using Newton's Laws of Motion and finding the acceleration of one of the objects to calculate the tension of the string. However, it is mentioned that the resulting coefficient of kinetic friction is incorrect. The suggestion is made to draw a proper free body diagram and use Newton's Laws of Motion to accurately solve the problem.
  • #1
oldflandark
1
0

Homework Statement


2 objects with mass m1=10 and m2=5 are connected by a light string that passes over a frictionless pulley, they are set up so that m1 is sitting on the desk and m2 is attached to a pulley, is over he desk. if when the system starts from rest, m2 falls 1 meter in 1.2seconds, determine the coeeficiant of kinectic friction between m1 and the desk.

force Friction = Force normal * cooeficiant of kinetic friction

change in x= v-initial*time + .5(accelration)(time^2)



ok so i first found out what the acceleration would be of m2 under those conidtions, found out the force of it then, and then i found the force for if the accelration of m2 was just 9.8m/s^2, and found the difference between that and the first force, and then set that difference equal to Force normal * cooeficiant of kinetic friction, but i still get the wrong answer for kinetic friction cooeficiant.

 
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  • #2
Did you draw a proper FBD? What did you get for acceleration? And why did you try to find F when a = 9.8m/(s^2)? If you draw a set of FBDs for each part (and one for the whole), all you really need to do is find the acceleration of m2 (which will be the same for m1), and use it to calculate the tension of the string. Then it should be fairly easy to find the coefficient of kinetic friction, using the first equation in conjunction with Newton's 2nd law.EDIT: Basically, you know (by the title) that it's a Newton Motion Law problem, but you don't seem to have used Newton's Laws of Motion!
 

What are Newton's laws of motion?

Newton's laws of motion are three fundamental laws that describe the behavior of objects in motion. They were developed by Sir Isaac Newton in the 17th century and are the basis for classical mechanics.

What is Newton's first law of motion?

Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will remain in motion with a constant velocity unless acted upon by an external force.

What is Newton's second law of motion?

Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. This can be mathematically expressed as F=ma, where F is the net force, m is the mass of the object, and a is the acceleration.

What is Newton's third law of motion?

Newton's third law of motion states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object exerts an equal and opposite force back on the first object.

How are Newton's laws of motion used in everyday life?

Newton's laws of motion are used in various ways in everyday life. For example, they are used in designing vehicles and structures, calculating the effects of forces on different objects, and understanding the motions of objects in sports and games. They also help explain everyday phenomena such as why objects fall to the ground and how rockets are able to launch into space.

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