Purchase Solution

Coefficient of friction: smallest value to maintain mass in an equilibrium position?

Not what you're looking for?

Ask Custom Question

See attached graph.

A cylinder of mass M and radius R rests on an inclined plane. It is held in place by a horizontal string that is attached to the edge of the cylinder. If the angle that the plane makes with the horizontal is theta, and the coefficient of static friction between the cylinder and the plane is u, what is the smallest value of U that will maintain this position as an equilibrium position?

Purchase this Solution

Solution Summary

With good explanations and calculations, the problems are solved.

Solution Preview

For this to be an equilibrium position, 2 things must be true:

1) Net force on the ball cylinder must be zero
2) Net torque about the cylinder must be zero.

So first, draw a careful free-body diagram of the forces on the cylinder and let Fnet = 0. To do this, I would choose as your coordinate system the directions "along the inclined plane" and "perpendicular to the inclined plane". That way you have fewer forces to resolve into components.

Here are the forces involved:
1) Gravitational force, acting downward from the centre of mass of the cylinder
2) Normal force of contact between the ramp surface and the cylinder (acting perpendicular to the ...

Purchase this Solution

Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.