Chapter 12: Problem 6
Is a ladder more likely to slip when you stand near the top or the bottom? Explain.
Chapter 12: Problem 6
Is a ladder more likely to slip when you stand near the top or the bottom? Explain.
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A uniform 5.0 -kg ladder is leaning against a frictionless vertical wall, with which it makes a \(15^{\circ}\) angle. The coefficient of friction between ladder and ground is \(0.26 .\) Can a \(65-\mathrm{kg}\) person climb to the top of the ladder without it slipping? If not, how high can that person climb? If so, how massive a person would make the ladder slip?
You're investigating ladder safety for the Consumer Product Safety Commission. Your test case is a uniform ladder of mass \(m\) leaning against a frictionless vertical wall with which it makes an angle \(\theta .\) The coefficient of static friction at the floor is \(\mu .\) Your job is to find an expression for the maximum mass of a person who can climb to the top of the ladder without its slipping. With that result, you're to show that anyone can climb to the top if \(\mu \geq \tan \theta\) but that no one can if \(\mu<\frac{1}{2} \tan \theta.\)
For Thought and Discussion Give an example of an object on which the net force is zero, but that isn't in static equilibrium.
Give an example of an object on which the net torque about the center of gravity is zero, but that isn't in static equilibrium.
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