p11 089

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89.

(a) We integrate the angular acceleration (as a function of τ ) with respect to τ to find the angular

velocity as a function of t > 0.

ω = ω

0

+



t

0



4

3

3

2



= ω

0

+ at

4

− bt

3

.

(b) We integrate the angular velocity (as a function of τ ) with respect to τ to find the angular position

as a function of t > 0.

θ = θ

0

+



t

0



4

3

3

2



= θ

0

+ ω

0

t +

a

5

t

5

b

4

t

4

.


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