In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 0 = 22.6°. The slab has length L = 38.7 m, thickness T = 6.61 m, and %3D %3D

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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In the figure, a rectangular slab of slate rests on a
bedrock surface inclined at angle 0 = 22.6°. The slab
has length L = 38.7 m, thickness T = 6.61 m, and
width W = 13.7 m, and 1.0 cm³ of it has a mass of 3.2
%3D
%3D
g. The coefficient of static friction between slab and
bedrock is 0.356. (a) Calculate the component of the
gravitational force on the slab parallel to the
bedrock surface. (b) Calculate the magnitude of the
static frictional force on the slab. By comparing (a)
and (b), you can see that the slab is in danger of
sliding. This is prevented only by chance protrusions
of bedrock. (c) To stabilize the slab, bolts are to be
driven perpendicular to the bedrock surface (two
bolts are shown). If each bolt has a cross-sectional
area of 7.44 cm2 and will snap under a shearing
stress of 3.14 x 108 N/m2, what is the minimum
number of bolts needed? Assume that the bolts do
not affect the normal force.
II
Transcribed Image Text:20 of 20 < > - /5 View Policies Current Attempt in Progress In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 0 = 22.6°. The slab has length L = 38.7 m, thickness T = 6.61 m, and width W = 13.7 m, and 1.0 cm³ of it has a mass of 3.2 %3D %3D g. The coefficient of static friction between slab and bedrock is 0.356. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 7.44 cm2 and will snap under a shearing stress of 3.14 x 108 N/m2, what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force. II
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