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4.38. Set Up:
Let
be upward. The rock has mass
For a chain of negligible weight the
tension is the same at all points in the chain.
Solve: (a)
The freebody diagram for the rock is given in Figure 4.38.
Figure 4.38
(b)
gives
The tension in the
top link, the bottom link and the middle link is 179 N.
4.39. Set Up:
Take
to be upward. The mass of the bucket is
and the mass of the chain is
The chain also has an upward acceleration of
Solve: (a)
Consider the chain and bucket as a combined object of mass
and
weight
The freebody diagram is shown in Figure 4.39a.
is the tension in the top link.
gives
and
Figure 4.39
(b)
Apply
to the bucket. The freebody diagram (Figure 4.39b) gives
so
(c)
Apply
to the bottom half of the chain. The freebody diagram is shown in Figure 4.39c. The bottom
half of the chain has mass
and weight
is the tension in the middle link of the chain.
gives
Reflect:
Part (b) can also be done by applying
to the chain. The freebody diagram is given in
Figure
4.39d.
gives
and
which agrees with the value obtained previously. The tension increases from the
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This note was uploaded on 03/06/2009 for the course PHYS 114 taught by Professor Shoberg during the Spring '07 term at Pittsburg State Uiversity.
 Spring '07
 Shoberg
 Mass

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