Homework Statement
A heavy rope 3 m long is attached to the ceiling and allowed to hang freely. Let y = 0 denote the bottom end of the rope. To get started on this problem, imagine cutting the rope at an arbitrary value of y. Draw a free body diagram of each of the two pieces of rope to...
I am equally confused :). But thanks a lot for the help on the first part!
If you treat the torque arm to be the full length of the stick, you get 3/2mgsin(theta) to be the torque. The only thing that comes close to equaling 1/4mgsin(theta) is if you treat the initial angle as not part of the...
Radial force of a rotating stick!
1. The Problem
In this problem we want to learn a little bit about what is sometimes called dynamical loading. Our simple system consists of a uniform stick of length L and mass M hinged at one end. We would like to calculate the forces on the (frictionless)...
Homework Statement
Consider a block of mass M that is pulled up an incline by a force T that is parallel to the surface of the incline. The block starts from rest and is pulled a distance x by the force T. The incline, which is frictionless, makes an angle theta with respect to the...
Homework Statement
Consider the Atwood's machine of Lecture 8. We wish to use this machine to measure our local acceleration of gravity with an accuracy of 5% [i.e. (Delta g)/g = 0.05]. To begin, suppose we let the mass m_1 fall through a distance L.
3.1 Find an expression for the...
Yes, that fixed everything for me. I had thought that my professor wanted me to integrate both sides and leave the constants separate, but it was just coincidental that they were defined as c1 and c2. Thanks a lot!
Circular Motion Without Gravity- Calc Based URGENT!
Homework Statement
Consider a bead of mass m that is free to move around a horizontal, circular ring of wire (the wire passes through a hole in the bead). You may neglect gravity in this problem (assume the experiment is being done in...