Figure 6-22 shows the cross
section of a road cut into the side of
a mountain. The solid line AA represents
a weak bedding plane along
which sliding is possible. Block B
directly above the highway is separated
from uphill rock by a large
crack (called a joint), so that only
friction between the block and the
bedding plane prevents sliding. The
mass of the block is 1.8* 107 kg, the dip angle u of the bedding
plane is 24, and the coefficient of static friction between block
and plane is 0.63. (a) Show that the block will not slide under
these circumstances. (b) Next, water seeps into the joint and expands
upon freezing, exerting on the block a force parallel to
AA. What minimum value of force magnitude F will trigger a
slide down the plane?
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