In this video I explain how to determine the largest and smallest value a mass must have to prevent a system involving an inclined plane, static and kinetic friction, and a “massless and frictionless pulley” to move at constant speed. I also show how to obtain the maximum and minimum value of the static frictional force required to keep the system at rest. Newton’s laws are applied upon drawing a concrete free-body diagram of each case.

Young, Hugh D., Roger A. Freedman, A. Lewis Ford, Francis Weston Sears, and Mark Waldo Zemansky. Sears and Zemansy’s University Physics: With Modern Physics. San Francisco: Pearson/Addison Wesley, 2008. Print.

Page: 173
Problem: 5.65

ISBN-13: 978-0-321-50121-9
ISBN-10: 0-321-50121-7

Calculator: Casio fx-300ES

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Staring with a line in the xy-plane, we rotate it about the y-axis. After rotating it, we write parametric equations for the surface. Then we look at the intersection of constant planes (horizontal or vertical planes) and the traces they form. (Since you get a cone when you rotate the line, you end up with…

For a complete lesson on digit word problems, go to http://www.MathHelp.com – 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to solve digit word problems using a system of linear equations, as demonstrated in the following problem. The sum of the digits of a two-digit number…

Amazing, Life Changing Tutor
Before I met Jonathan, I was struggling through most of my STEM classes because I was simply not studying properly. He taught me all kinds of new study habits that would help me to save time, raise my grades, and lower my stress. Jonathan was specifically tutoring me in vector calculus and is an amazing tutor on the subject. You will walk away from a lesson with a game plan knowing exactly what you need to do before your next session with him or before your next exam in order to do well in the course. I highly recommend him as a tutor.

Amazing, Life Changing Tutor
Before I met Jonathan, I was struggling through most of my STEM classes because I was simply not studying properly. He taught me all kinds of new study habits that would help me to save time, raise my grades, and lower my stress. Jonathan was specifically tutoring me in vector calculus and is an amazing tutor on the subject. You will walk away from a lesson with a game plan knowing exactly what you need to do before your next session with him or before your next exam in order to do well in the course. I highly recommend him as a tutor.