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In an ore-mixing operation, a bucket full of ore is suspended from a traveling crane which moves along a stationary bridge. The bucket is to swing no more than 10 ft horizontally when the crane is brought to a sudden stop. Determine the maximum allowable speed $v$ of the crane.

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$=10.5115 \approx 10.51 \mathrm{ft} / \mathrm{s}$

Physics 101 Mechanics

Chapter 13

Kinetics of Particles: Energy and Momentum Methods

Work

Moment, Impulse, and Collisions

Energy Conservation

Cornell University

University of Michigan - Ann Arbor

Hope College

University of Winnipeg

Lectures

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

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In an ore-mixing operation…

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A crane lifts a bucket of …

02:44

A bob is suspended from a …

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