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Re: [Phys-l] Work done by Static Friction



At 03:22 PM 3/14/2007, Bob, you wrote:
A crate sits on the bed of a flat-bed truck. The truck is initially at
rest and then moderately accelerates. The crate does not slide, but
simply follows the motion of the truck. Did the force of static friction
that accelerates the crate do any work?

I ask this because when a block is decelerated by kinetic friction, the
KE of the block decreases and the internal energy of the surfaces
involved increases. What is the energy transfer (or whatever your
favorite terminology) mechanism for the static friction example above?

Bob at PC

A force that does not meet with movement does no work.
So the tailgate hinge does no work, the cabin door does no work
and the floor carpet does no work.

But wait a moment. The truck is accelerating, so something
is doing work, I suppose. What could it be?

The engine is doing work on the prop shaft.
The prop shaft is doing work on the differential.
The differential is doing work on the wheel/tire.
But the contact patch is not in motion, so it's hard to say that
the tire is doing work on the road. But in reacting the applied
torque, the wheel is doing work on something, I imagine.
Ah yes: the wheel though fixed (instantaneously?) at
the road surface, moves the hub with a certain force.
Then that must be what is doing productive work then....?



Brian Whatcott Altus OK Eureka!