Pancake collapse of a tall building. In the section of a tall building shown in Figure (a), the infrastructure of any given floor K must support the weight W of all higher floors. Normally the infrastructure is constructed with a safety factor s so that it can withstand an even greater downward force of sW. If, however, the support columns between K and L suddenly collapse and allow the higher floors to free- fall together onto floor K (Figure (b)), the force in the collision can exceed sW and, after a brief pause, cause K to collapse onto floor J, which collapses on floor I, and so on until the ground is reached. Assume that the floors are separated by d = 4.0 m and have the same mass. Also assume that when the floors above K free-fall onto K, the collision lasts 2.0 ms. Under these simplified conditions, what value must the safety factor s exceed to prevent pancake collapse of the building?

Pancake collapse of a tall building. In the section of a tall building shown in Figure (a), the infrastructure of any given floor K must support the weight W of all higher floors. Normally the infrastructure is constructed with a safety factor s so that it can withstand an even greater downward force of sW. If, however, the support columns between K and L suddenly collapse and allow the higher floors to free- fall together onto floor K (Figure (b)), the force in the collision can exceed sW and, after a brief pause, cause K to collapse onto floor J, which collapses on floor I, and so on until the ground is reached. Assume that the floors are separated by d = 4.0 m and have the same mass. Also assume that when the floors above K free-fall onto K, the collision lasts 2.0 ms. Under these simplified conditions, what value must the safety factor s exceed to prevent pancake collapse of the building?

Name: Pancake collapse of a tall building. In the section of a tall buildin
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: Pancake collapse of a tall building. In the section of a tall building shown in Figure (a), the infrastructure of any given floor K must supportthe weight W of all higher floors. Normally the infrastructure is constructed with a safety factor s so t

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 103AP: Three skydivers are plummeting earthward. They are initially holding onto each other, but then push...

See similar textbooks

Similar questions

The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net force F are given by x = t4 6t and y = 4t2 + 1, with x and y in meters and t in seconds. What is the magnitude of the force F at t = 4.00 s?
In the following figure, the horizontal surface onwhich this block slides is frictionless. If the two forcesacting on it each have magnitude F = 30.0 N andM = 10.0 kg , what is the magnitude of the resultingacceleration of the block?
•A baseball of mass m and initial speed v strikes a catcher’s mitt.If the mitt moves a distance ∆x as it brings the ball to rest, what isthe average force it exerts on the ball?
The horizontal surface on which the objects slide is frictionless. If F = 6.0 N and M = 1.0 kg, what is the magnitude of the force exerted on the large block by the small block?
A block of mass M slides down a frictionless plane inclined at an angle ? with the horizontal. The normal reaction force exerted by the plane on the block is? CHOICES: MgMg sin Mg cos "zero, since the plane is frictionless.?
In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 55 kg vaulter is moving at 2.5 m/s and is 5.1 m from the bottom end of the pole. What vertical force does the pole exert on the vaulter?
a person in kayak atarts padding, and it accelarates from 0 to 0.474 m/s in a distance of 0.584 m. if the combined mass of the person and the kayak is 69.9kg, what is the magnitude of the net force acting on the kayak?
Three blocks m1=8.00 kg, m2=6.00 kg and m3 areconnected by massless strings that pass over frictionlesspulleys placed at the edges of the table. Block m1 rest onthe horizontal tabletop which has a coefficient of staticand kinetic friction of 0.155 and 0.133, respectively.Blocks m2 and m3 are suspended on both ends of twostrings that are connected to block A. What should bethe mass m3 such that when the system is released fromrest, block m2 ascends at a constant rate of 1.20 m/s2?
A barefoot field-goal kicker imparts a speedof 27 m/s to a football initially at rest.If the football has a mass of 0.59 kg and thetime of contact with the ball is 0.034 s, whatis the magnitude of the force exerted by theball on the kicker’s foot?Answer in units of N.
A 70 kg bicyclist is riding her 15 kg bicycle downhill on a road with a slope of 80without pedaling or braking. The bicyclist has a frontal area of 0.45 m2and a dragcoefficient of 1.1 in the upright position, and a frontal area of 0.4 m2and a dragcoefficient of 0.9 in a racing position. If the downhill speed of the bicyclist(terminal velocity) can be determined when the total force acting on the “body” inthe direction of movement is equal to zero, determine the percentage of downspeed that she can be increased when she is in a racing position. Air temperatureis 150C and disregarding the rolling resistance and friction at the bearing.
The drawing shows Robin Hood(mass = 77.0 kg) about to escape froma dangerous situation. With one hand,he is gripping the rope that holds up achandelier (mass = 195 kg). When hecuts the rope where it is tied to thefloor, the chandelier will fall, and hewill b. pulled up toward a balconyabove. Ignore the friction between therope and the beams over which itslides, and find (a) the accelerationwith which Robin is pulled upward and (b) thetension in the rope while Robin escapes.
A boy coasts down a hill on a sled, reaching a level surface atthe bottom with a speed of 7.00 m/s. If the coefficient of frictionbetween the sled’s runners and the snow is 0.050 0 andthe boy and sled together weigh 600. N, how far does the sledtravel on the level surface beforecoming to rest?