Chapt. 5
Newton’s Laws and Dynamics I
55
at
s
to first order. The normal force per unit length exerted by the rope on the curved surface
is equal in magnitude to
f
nor
, but points radially inward by the 3rd law.
The tension at any point
s
along the
is given by
T
=
T
0
−
F
par
(
s
)
,
where
T
0
is the tension at the start of the
at
s
= 0 and
F
par
is the integrated
applied parallel force per unit length along the
from the start to
s
.
a) ideal rigid rod
b) ideal rope
c) unreal rigid rod
d) uaenrl riigd rod
e) ideal door
005 qmult 01130 1 1 2 easy memory: ideal rope with constant tension
47. A taut ideal, massless rope should have
tension (i.e., constant magnitude of
tension force) between two endpoints provided no external forces parallel to the rope act on it
BETWEEN
the endpoints: there will in general be external applied forces to hold it taut at
the endpoints. The rope does not have to be straight. It can be wrapped around constraints as
long as their surfaces exert no parallel forces on it.
a) wildly varying
b) constant
c) complexly varying
d) zero
e) 9
.
8 N
/
kg.
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 Fall '06
 Buchler
 Physics, Force, Friction, kinetic friction force, Fpar

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