Vertical Forces & Acceleration Video Lessons

Video Thumbnail

Concept

Problem: A rope of length L and mass m is suspended from the ceiling. Find an expression for the tension in the rope at position y, measured upward from the free end of the rope.

FREE Expert Solution

Newton's second law:

ΣF = ma

The tension is upward, myg is downward, acceleration is zero.

Ty - myg = 0 (y represents the point y)

Ty = myg

The mass of the rope changes as we move from the lower end (free end). 

79% (44 ratings)
View Complete Written Solution
Problem Details

A rope of length L and mass m is suspended from the ceiling. Find an expression for the tension in the rope at position y, measured upward from the free end of the rope.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Vertical Forces & Acceleration concept. You can view video lessons to learn Vertical Forces & Acceleration. Or if you need more Vertical Forces & Acceleration practice, you can also practice Vertical Forces & Acceleration practice problems.