Chapter 7I7-1.
I7-2.
I7-3.
I7-4.
~r=αcosωteˆ 1 +αsinωtˆe 2 +βtˆe 3
d~r
dt=−αωsinωtˆe^1 +αωcosωteˆ^2 +βˆe^3
ds
dt=|d~r
dt|=√
α^2 ω^2 +β^2unit normal ˆet=−αωsinωteˆ 1 +αωcosωtˆe 2 +βeˆ 3
√
α^2 ω^2 +β^2=d~r
ds=d~r
dt
ds
dt
dˆet
dt =−αω^2 cos√ωtˆe 1 −αω^2 sinωtˆe 2
α^2 ω^2 +β^2
dˆet
ds=dˆet
dt
ds
dt=−αω(^2) cosωtˆe 1 −αω (^2) sinωtˆe 2
α^2 ω^2 +β^2
=κˆen, ˆenis unit normal
Solutions Chapter 7