SSM In Fig 12-63, a rectangular slab of slate rests on a bedrock surface inclined at angle θ = 26°. The slab has length L = 43 m, thickness T = 2.5 m, and width W = 12 m, and 1.0 cm 3 of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.39. (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 6.4 cm 2 and will snap under a shearing stress of 3.6 × 10 8 N/m 2 . what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force. Figure 12-63 Problem 53.
SSM In Fig 12-63, a rectangular slab of slate rests on a bedrock surface inclined at angle θ = 26°. The slab has length L = 43 m, thickness T = 2.5 m, and width W = 12 m, and 1.0 cm 3 of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.39. (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 6.4 cm 2 and will snap under a shearing stress of 3.6 × 10 8 N/m 2 . what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force. Figure 12-63 Problem 53.
SSMIn Fig 12-63, a rectangular slab of slate rests on a bedrock surface inclined at angle θ = 26°. The slab has length L = 43 m, thickness T = 2.5 m, and width W = 12 m, and 1.0 cm3 of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.39. (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 6.4 cm2 and will snap under a shearing stress of 3.6 × 108 N/m2. what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.
A uniform cube of side length 7.3 cm rests on a horizontal floor. The coefficient of static friction between cube and floor is u. A
horizontal pullP is applied perpendicular to one of the vertical faces of the cube, at a distance 6.5 cm above the floor on the vertical
midline of the cube face. The magnitude of P is gradually increased. (a) If µ is less than what value will the cube eventually begin to
slide? (b) If u is greater than what value will the cube eventually begin to tip? (Hint: At the onset of tipping, where is the normal force
located?)
(a) Number
i
Units
i
Units
(b)
Number
The coefficient of static friction between a block of mass
m and an incline is = 0•3. (a) What can be the
maximum angle e of the incline with the horizontal so
that the block does not slip on the plane ? (b) If the incline
makes an angle 8/2 with the horizontal, find the
frictional force on the block.
57. ssm A worker stands still on a roof sloped at an angle of 36° above
the horizontal. He is prevented from slipping by a static frictional force
of 390 N. Find the mass of the worker.
Chapter 12 Solutions
Fundamentals Of Physics Extended, Tenth Edition Wileyplus Blackboard Student Package
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