Force & Potential Energy Video Lessons

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Problem: A particle of mass m moves under the influence of a potential energy large{U(x) = frac{a}{x} + bx}, where a and b are positive constants and the particle is restricted to the region x > 0. Find a point of equilibrium for the particle and demonstrate that it is stable.

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In this problem, we'll use the relationship between equilibrium and potential energy to determine the equilibrium point.

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Problem Details

A particle of mass m moves under the influence of a potential energy , where a and b are positive constants and the particle is restricted to the region x > 0. Find a point of equilibrium for the particle and demonstrate that it is stable.

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

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Based on our data, we think this problem is relevant for Professor Silverstone's class at UA.