Pulley in Physics — pulley tension problems with a solution (from PhysicsTeacher.in)
Here in this tutorial, we will study a few pulley systems to find out how to solve pulley tension problems as well. Pulley in Physics is one of the most interesting topics in mechanics. Once you understand the application of Newton’s laws in pulley systems, it may become one of the most favorite topics for you. Pulleys are found on sailboats, on the end of cranes and even in the weight room of a workout gym. Ideal pulleys are considered to be mass-less and frictionless.
How to solve Pulley Tension Problems — setup 1
Question: In the common setup shown in Figure 1, the hanging cylinder of mass m is released from rest.
If the friction between the cart of mass M and the horizontal track is negligible, find the acceleration of the cart and the tension in the rope.
We have to draw one free-body diagram (FBD) for the hanging cylinder and another for the cart.
1. Each subject is represented by a dot (labeled with the mass) in Figures.
- Figure 2 shows the FBD of the cart.
- Figure 3 represents the FBD of the cylinder.
2. Forces are drawn and labeled on each object. No springs or friction is considered. I have solved the problem in my blog with all the steps and FBD (Free body Diagram)
we have 2nd problem below.
How to solve Pulley Tension Problems — setup 2
Question: This one is a modified version of problem#1. Here in the common setup (similar one shown in Figure 1), the hanging cylinder of mass m is released from rest. But here we have friction to consider.
If the friction between the cart of mass M and the horizontal track is present with coefficient of friction μ, find the acceleration of the cart and the tension in the rope.
Pulley in physics — Solution with FBD
For the complete solution [Read More with detailed solution]
Originally published at https://physicsteacher.in on August 8, 2019.