تم الحل ✓
categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
1 m
Q
Overhead view of a conventionally rigged boat. The stern is marked Q.
2. The placement of rowers in a boat its "rig" conventionally has the oars
arranged alternately to the left and right, which we represent as LRLR (see Figure.).
The force generated by an oar being pulled through water can always be resolved into
two components: one that pushes the boat forward, T, and another that pushes it to the
side, F. (The sideways force reverses direction midway through the stroke.) This causes a
conventionally rigged boat to wiggle side to side as it moves through the water, slowing its
forward progress.
(a) If the rowers sit 1 meter apart in a LRLR placement as shown in Figure 1 and the
distance from the stern is 1 meter, show that the instantaneous total moment on the
boat about the stern Q is 2F. (Consider the rowers to be identical automatons that
move in perfect unison and generate identical forces.)
(b) Using the same positions as part (a), find a L-R pattern of four rowers in a boat that
yields zero moment about Q.
(c) Find a L-R pattern of rowers in an eight-person boat that yields zero moment about
the stern Q.
FG
=
mcacio at
Id (PG/0)
dt
Id
MG
dt
1
To
dt
I
ma||vc|o||²+ha we
2
(ha)=(ha) +xha
M
6N-K (3D rigid body)
FhGle
ThG
=
Gle [w]
(3D)
(2D)
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