Engineering Mechanics: Statics-Solution Manual 11th. Edition by RUSSELL C. HIBBELRE | Holooly

Engineering Mechanics: Statics-Solution Manual [EXP-5373]

759 SOLVED PROBLEMS

A ball of mass M rests between the grooves A and B of the incline and against a vertical wall at C. If all three surfaces of contact are smooth, determine the reactions of the surfaces on the ball. Hint: Use the x, y, z axes, with origin at the center of the ball, and the z axis inclined as shown.

Verified Answer:

\sum { { F }_{ x } } =0;\quad \quad { F }_{...

A biomechanical model of the lumbar region of the human trunk is shown. The forces acting in the four muscle groups consist of { F }_{ R } for the rectus, { F }_{ O } for the oblique, { F }_{ L } for the lumbar latissimus dorsi, and { F }_{ E } for the erector spinae. These loadings are symmetric with respect to the y – z plane. Replace this system of parallel forces by an equivalent force and couple moment acting at the spine, point O. Express the results in Cartesian vector form. Given: { F }_{ R } = 35 N\quad a = 75 mm { F }_{ O } = 45 N\quad b = 45 mm { F }_{ L } = 23 N\quad c = 15 mm { F }_{ E } = 325 N\quad d = 50 mm e =40 mm\quad f = 30 mm

Verified Answer:

{ F }_{ Res }

=

\sum { { F }_...

A block of weight W is attached to a light rod AD that pivots at pin A. If the coefficient of staticfriction between the plane and the block is μs, determine the minimum angle θ at which the block may be placed on the plane without slipping. Neglect the size of the block in the calculation. Given:

Verified Answer:

Establish a unit vecto perpendicular to the plane....

A cable has a weight density γ and is supported at points that are a distance d apart and at the same elevation. If it has a length L, determine the sag. Given: γ = 3 Ib/ft d = 500 ft L = 600 ft

Verified Answer:

Guess

\quad { F }_{ H }=100Ib

...

A cable of length L is suspended between two points a distance d apart and at the same elevation.If the minimum tension in the cable is Tmin, determine the total weight of the cable and the maximum tension developed in the cable. Units Used: kip = 10^3 Ib Given: L = 50 ft d = 15 ft Tmin = 200 Ib

Verified Answer:

{ T }_{ min }={ F }_{ H }\quad \quad \quad ...

A cantilever beam, having an extended length L, is subjected to a vertical force F. Assuming that the wall resists this load with linearly varying distributed loads over the length a of the beam portion inside the wall, determine the intensities w1 and w2 for equilibrium. Units Used: kN = 10^3 N

Verified Answer:

The initial guesses

\quad \quad { w }_{ 1 }...

A chain having a length L and weight W rests on a street for which the coefficient of staticfriction is μs. If a crane is used to hoist the chain, determine the force P it applies to the chain if the length of chain remaining on the ground begins to slip when the horizontal component is Px. What

Verified Answer:

\sum { { F }_{ x } } =0;\quad -{ P }_{ x }+...

A chain of length L has a total mass M and is suspended between two points a distance d apart. Determine the maximum tension and the sag in the chain. Given: L = 40 m M = 100 kg d = 10 m g = 9.81 m /s^2

Verified Answer:

w=M\frac { g }{ L }

s...

A circular sea wall is made of concrete. Determine the total weight of the wall if the concrete has a specific weight γC. Given: γC = 150 Ib/ft^3 a = 60 ft b = 15 ft c = 8 ft d = 30 ft θ = 50 deg

Verified Answer:

W={ \gamma }_{ C }\theta \left[ a\left[ \fr...

A circular V-belt has an inner radius r and a cross-sectional area as shown. Determine the surface area of the belt.Given:r = 600 mm a = 25 mm b = 50 mm c = 75 mm

Verified Answer:

A=2\pi \left[ rb+2\left( r+\frac { c }{ 2 }...

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