Learning goal: to understand the conditions necessary for static equilibrium. look around you, and you see a world at rest. the monitor, desk, and chair—and the building that contains them—are in a state described as static equilibrium. indeed, it is the fundamental objective of many branches of engineering to maintain this state in spite of the presence of obvious forces imposed by gravity and static loads or the more unpredictable forces from wind and earthquakes. the condition of static equilibrium is equivalent to the statement that the bodies involved have neither linear nor angular acceleration. hence static mechanical equilibrium (as opposed to thermal or electrical equilibrium) requires that the forces acting on a body simultaneously satisfy two conditions: ∑f⃗ =0 and ∑τ⃗ =0; that is, both external forces and torques sum to zero. you have the freedom to choose any point as the origin about which to take torques. each of these equations is a vector equation, so each represents three independent equations for a total of six. thus to keep a table static requires not only that it neither slides across the floor nor lifts off from it, but also that it doesn't tilt about either the x or y axis, nor can it rotate about its vertical axis.
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If an athlete runs once around a track, back to the starting line, her average velocity is zero. true or false?
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Physics, 22.06.2019 15:10
Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k
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Physics, 22.06.2019 15:40
Apotter's wheel moves uniformly from rest to an angular speed of 0.20 rev/s in 32.0 s. (a) find its angular acceleration in radians per second per second. rad/s2 (b) would doubling the angular acceleration during the given period have doubled final angular speed?
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Physics, 22.06.2019 20:00
An element becomes a positively charged ion when itloses protons.loses electrons.gains electrons.gains neutrons.
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Learning goal: to understand the conditions necessary for static equilibrium. look around you, and...
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