Lesson: The Equilibrium of a Body on a Rough Horizontal Plane Mathematics

In this lesson, we will learn how to solve problems involving the equilibrium of a body on a rough horizontal plane.

Lesson Plan

Students will be able to

solve equilibrium problems on rough horizontal planes,
find the coefficient of friction between an object and a rough horizontal plane,
find the angle of friction in a given model,
find missing values in a system involving a rough horizontal plane and smooth pulleys.

Lesson Presentation

Lesson Video

Lesson Explainer

Sample Question Videos

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Lesson Worksheet

Q1:

Given that the coefficient of static friction between a body and a plane is , what is the angle of friction? Round your answer to the nearest minute if necessary.

Q2:

A body weighing 30 N rests on a rough horizontal plane. Two horizontal forces and are acting on the body such that makes an angle of with . Given that and the angle of friction of the surface , find, to two decimal places, the minimum value of required to make the body move and the angle between the direction of motion and as the body starts to move to the nearest degree.

Q3:

A body weighing 25.5 N rests on a rough horizontal plane. A horizontal force acts on the body causing it to be on the point of moving. Given that the coefficient of friction between the body and the plane is , determine magnitude of the force.