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Problem Set 2
Physics 1116 : Due Friday, 09/10/2010
Please write the names of any classmates with whom you discussed the homework problems at
the top of your problem set
1. Consider a rod of length 10 m. One end is pivoted about the origin (
x
= 0
,y
= 0).
The rod spins with a constant speed in the counterclockwise direction shown on the
ﬁgure. It takes 10 seconds to make one entire revolution. At
t
= 0, the far end of the
rod is at (
x
= 10 m
,y
= 0). Use units of radians in this problem.
(a) Write down the functional forms of
x
(
t
) and
y
(
t
) which can express the position
of the far end of the rod as a function of time. The position vector of the far
end of the rod can then be written as
~
r
(
t
) =
x
(
t
)
ˆ
i
+
y
(
t
)
ˆ
j
.
(b) What are the (
x,y
) coordinates of far end of the rod at
t
= 0
.
1 sec?
(c) Using the functional form of the position vector above, calculate the functional
form of the velocity vector,
~v
(
t
) =
d~
r
dt
. Determine
~v
(
t
= 0
.
1 sec).
(d) Calculate the average velocity vector between
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This note was uploaded on 11/03/2010 for the course PHYS 1116 taught by Professor Elser, v during the Spring '05 term at Cornell University (Engineering School).
 Spring '05
 ELSER, V
 mechanics, Work, Special Relativity

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