From: David Cross on
On Wed, 30 Mar 2005 03:45:34 GMT, "Bill Hobba" <bhobba(a)rubbish.net.au> wrote:

>"David Cross" <spamdenied(a)nospam.net> wrote in message
>news:co0j41dgr2ekm7opfiej4qqt9h6b5nhv4k(a)4ax.com...
>> On Tue, 29 Mar 05 14:12:53 GMT, jmfbahciv(a)aol.com wrote:
>> >I always have problems drawing that force diagram. The arrows
>> >never "matched" my common sense. And torque always confused me
>> >and, as a result, I always reverted to "memorized" formulas
>> >whenever I did those problems.
>>
>> I think I was lucky; I learned about torques after I'd learned how to
>apply
>> cross products. :) Therefore all I needed was the radial distance away
>from
>> the center and the applied force. :)
>
>Having studied physics after completing a math degree I had the same
>experience. Trouble is I ran into the problem Feynman alluded to - the math
>can hide the physics.

What had happened for me was that we were learning about the forces exerted by
magnetic fields, and the professor, although he didn't have to, taught the
cross-product form of the F = qvB sin theta equation in order to get us to
understand the physical significance of the perpendicularity of the force to
the velocity and field vectors.

As a result, when I came across r x F (that is, rF sin theta), I didn't have
to be sidetracked by rather strained explanations for explaining why the units
of torque are Newton-meters and why the torque was perpendicular to the force
and the radial direction. I just had to skip past all that and realize that
the physical significance is the same as that for the qv x B :)

Having seen the cross product, it was then child's play to understand the dot
product, since the two just express different kinds of directional character
to the physical quantities we deal with in mechanics and electromagnetism
(although I realize this is lazy speaking when it comes to the dot product
since work is a scalar; nonetheless, appreciating that the directional
character of the force plays a role in how much work is done is crucial to
special cases in mechanics, such as circular motion. :) ).

As for force/torque diagrams, I find it helps a lot to have a good physical
intuition. That has to be developed; I didn't really start to grasp force
diagrams until I did many problems involving friction, statics, net forces,
what-have-you. But once you grasp them, it's a short step to automatically
using your right hand to work out which way the torque is for conditions where
the net torque needs to be zero, or when you know it's rotational mechanics.
:-)

---
David Cross
dcross1 AT shaw DOT ca
From: TomGee on

Tom Capizzi wrote:
> "TomGee" <lvlus(a)hotmail.com> wrote in message
>
SNIP
>
> > Is everyone here so full of knowledge that they think the basics no
> > longer apply?
> >
>
> You don't recognize the basics when you see them. Centripetal force
is
> a legitimate force, centrifugal force is not.
>
>
Wrong, Cap, it is you who doesn't recognize the basics staring you in
the face. Both are legitimate forces; it depends on which frame you
happen to be in.
>
>
> By the way, centripetal
> acceleration is not a force, it is an acceleration caused by
centripetal
> force.
> When the string breaks the orbiting mass follows a straight line away
from
> the center of rotation. It doesn't take a force to "make" the mass
flee the
> center. It does take a force to restrain the mass from departing.
>
>
If you were to remove that force, would the mass just stop moving? If
not, why not? Answer: Law 1. The natural tendency of a moving mass
is to continue moving following a straight path at a constant speed
whenever there are no external forces acting upon it to cause it to
accelerate (or words to that effect). The inertia of a mass works
against any external forces working to accelerate it and that inertia
is called an inertial force. Pure basics!

Centrifugal force is what causes a mass to flee from a centripetal
force from the viewpoint of a rotating reference frame, which is no
less valid than a non-rotating frame since, under strict definitions
like those you impose on centrifugal force, there is no such thing.

TomGee


TomGee
> >

From: TomGee on
RP,
"sub-forces" might be more better since they are not any of the four
fundamental forces but are related to them....?
TomGee

From: Y.Porat on
there is a basic particle that do not move in a straight line
it moves naturaly in a closed circle
see my site
its time to refresh your parroting mind in meal all of you guys.
Y.Porat
----------------------------

From: TomGee on

PD wrote:
> Harry wrote:
> > <mmeron(a)cars3.uchicago.edu> wrote in message
> > news:7K52e.21$45.3808(a)news.uchicago.edu...
> >
SNIP
> >
> > Right. Active forces (or how to call them, I think Newton called
them
> > impressed forces) cause acceleration. But a centrifugal force is a
> reaction
> > force
>
> Ack! Not in Newton's sense of action and reaction.
>
Sure it is. It is the inertial force's reaction to the centripetal
force of gravitation which can balance out to keep objects in orbit.
>
>
> > to a centripetal force, which is caused by a change in direction.
>
> Ack! Confusing cause and effect. The force causes the change in
> direction, not the other way around.
>
>
Yes, it causes the object to orbit instead of fleeing out and away.
>
>
> > I
> > wouldn't describe such as "pseudo force" or "fictional" force, as
> that gives
> > the wrong impression that no real force is exerted.
>
> Again, if you consider it carefully, it's not that complicated. If
you
> are rear-ended in your car, the reason your neck gets hurt is because
> your body accelerates forward and your head does not. There is no
need
> to assert a force exerting backwards on your head to account for this
> (although it would appear that there was one in a frame that
> accelerates forward in impact).
>
> PD
>
>
Wrong, PD. The inertial force of your head works against the
acceleration caused by the crash since it is loosely connected to your
body. If it did not - i.e., if it was frozen to your body - your neck
would not get hurt, barring any other harm-causing events.
>
>
> > In reality such forces
> > are real enough to break your neck! Newton also didn't call them
> "pseudo" or
> > "fictional", AFAIK; he just called them innate/inertial forces.
> >
> > Harald
>
>
Yes, Harald, that is exactly what he called them.

TomGee