p11 061

background image

61.

(a) We apply Eq. 11-27:

K =

1

2

2

=

1

2



1

3

mL

2



ω

2

=

1

6

mL

2

ω

2

.

(b) Simple conservation of mechanical energy leads to K = mgh. Consequently, the center of mass

rises by

h =

K

mg

=

mL

2

ω

2

6mg

=

L

2

ω

2

6g

.


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