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A 50 -story building is being planned. It is to be 180.0 $\mathrm{m}$ highwith a base 46.0 $\mathrm{m}$ by 76.0 $\mathrm{m}$ . Its total mass will be about$1.8 \times 10^{7} \mathrm{kg},$ and its weight therefore about $1.8 \times 10^{8} \mathrm{N}$ .Suppose a $200-\mathrm{km} / \mathrm{h}$ wind exerts a force of 950 $\mathrm{N} / \mathrm{m}^{2}$ overthe 76.0 -m-wide face (Fig. $77 ) .$ Calculate the torque about the potential pivot point, the rear edge of the building(where $\overline{\mathbf{F}}_{\mathrm{E}}$ acts in Fig. $77 ),$ and determine whether thebuilding will topple. Assume the total force of the wind acts at the midpoint ofthe building's face, andthat the building is notanchored in bedrock.[Hint: $\vec{\mathbf{F}}_{\mathrm{E}}$ in Fig. 77represents the force that the Earth would exerton the building in thecase where the buildingwould just begin to tip.

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the building will not topple

Physics 101 Mechanics

Chapter 12

Static Equilibrium; Elasticity and Fracture

Equilibrium and Elasticity

Cornell University

University of Michigan - Ann Arbor

University of Washington

University of Winnipeg

Lectures

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

04:17

02:44

A 50 -story building is be…

07:17

A 50-story building is bei…

02:38

Force on a building A larg…

02:45

Figure $12-65 a$ shows a u…

01:49

We can model a pine tree i…

02:49

A 17.0-m-high and 11.0-m-l…

01:46

A 4.0 -m-long, 500 kg ste…

01:30

02:10

A 4.00-m-long, 500 kg stee…

So this is everybody. Diagram off the building on small, um is the mouths off the building, which is given to the 1.8 an instant the past seven. Katie's now assume that the building is just about to tip so that our it has begun to tip so that it is essentially vertical, but that all off the forces on the building due to contact with art at the left Oh, are the lawyer left Kandahar as so s So these are the only forces now? No, these are the only contact forces without now we take talk about this carnage off the table, assuming that about this government off the building. And I'm assuming counter block weighs drugs to be positive yet so we find the dog. So we have to force is contributing to the talk at this point the conduct so that those are f a ce o f eight times 90 meters, they counter clockwise stark on energy times 23 meter girls gives clockwise stock. So we have to put a negative sign here on if e x f e by which have the contact forces on the building due to art do not give any talk because they passed through the point through which we are calculating the thought. Now we do the calculation for the talk and defying that this value comes out to be negative. 2.9 times 10 to the man I knew 10 times better. Now, as you can see, there is a negative sign here. This means that thought is negative, which means that the building will tend to pretend, then tow, rotate clockwise as let me distribute against We assumed initially that positive dark Oh, that counterclockwise Stark is positive. This means that if the next door comes out to be positive, then there is a talk in a counterclockwise direction and the building will couple in this direction about this point now contradictory to what we got. Ah, we got a negative talk. Therefore, that makes clockwise, which means that the building will not it like this. This means that even if the building has begun to topple, it will tend to rotate clockwise because off the talk which means that it rains were held back to the ground. Therefore, the birding will not a doubloon at all not stop with the building will not couple completely

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