Originally posted by: 0roo0roo
Originally posted by: ironwing
To answer the question in a somewhat more serious manner. Placing entire buildings on rollers is one method of "earthquake proofing" buildings. The Salt Lake City - City Hall was retrofitted with rollers for this reason.
well not like that though.if the building was unstable as the bookcase in the first place it would be even more dangerous with casters. buildings are far wider and have their weight more evenly distributed....casters are fine on wide furniture..like tables and desks, but he's described something really tall and thin.
Let's break this down.
A fault slips, a component of the energy released is transmitted as acceleration in the horizontal plane. We can ignore the vertical component for this discussion for the moment (good pun, no?).
The case of the caster-less bookcase:
The floor beneath the bookcase is accelerated.
The base of the bookcase is accelerated at the same rate as the floor unless friction is overcome and floor-bookcase slippage occurs resulting in less acceleration of the base of the bookcase in the horizontal plane.
The acceleration of the base is transmitted up the case as a shear force.
If the lag in time between the acceleration of the base of the bookcase and the acceleration of the top of the bookcase due to the shear force is too long, then the center of gravity of the bookcase will pass over the trailing edge of the bookcase and the bookcase will tip. If the shear force can act quickly enough or the initial acceleration of the base is too small, the bookcase will stay vertical.
The case of the castered bookcase:
The floor beneath the bookcase is accelerated.
The base of the bookcase remains stationary to the extent the movement of the floor beneath the bookcase is decoupled from the bookcase through the action of the casters rolling. Friction in the casters will transmit some acceleration to the base of the bookcase.
The acceleration of the base is transmitted up the bookcase as a shear force but the shear force will be less than with the casterless bookcase as the decoupling lessened the energy transmitted to the base.