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
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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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"
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< >
- /5
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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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