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engineering
engineering mechanics statics

Engineering Mechanics Statics 14th edition Russell C. Hibbeler - Solutions

A steel wheel has a diameter of 840 mm and a cross section as shown in the figure. Determine the total mass of the wheel if ρ = 5 Mg/m3. 100 mm A 30 mm- 60 mm 420 mm 250 mm 30 mm 840 mm 80 mm Section A-A
Determine the surface area of the curb. Do not include the area of the ends in the calculation. 100 mm 150 mm 30° 4 m 150 mm 150 mm
Determine the surface area of the ring.The cross section is circular as shown. 8 in. 4 in.
The heat exchanger radiates thermal energy at the rate of 2500 kJ h for each square meter of its surface area. Determine how many joules (J) are radiated within a 5-hour period. 0,5 m 0.75 m 0.75 m 1.5 m 0.75 m 1 m 0.5 m
Half the cross section of the steel housing is shown in the figure. There are six 10-mm-diameter bolt holes around its rim. Determine its mass. The density of steel is 7.85 Mg/m3. The housing is a full circular part. 30 mm 20 mm 40 mm 10 mm 30 mm 10 mm 10 mm 10 mm
Determine the moment of inertia about the x axis. y = a
A wind loading creates a positive pressure on one side of the chimney and a negative (suction) pressure on the other side, as shown. If this pressure loading acts uniformly along the chimney’s length, determine the magnitude of the resultant force created by the wind. d, p = Po cos e
The tank is used to store a liquid having a density of 80 lb/ft3. If it is filled to the top, determine the magnitude of force the liquid exerts on each of its two sides ABDC and BDFE. D 4 ft B 6 ft F 12 ft 3 ft E
The parabolic plate is subjected to a fluid pressure that varies linearly from 0 at its top to 100 lb>ft at its bottom B. Determine the magnitude of the resultant force and its location on the plate. 2 ft 2 ft y = x? 4 ft B
Locate the centroid y̅ of the shaded area. y 4 m 1 y = 4 - 16 3D4 -8 m
Locate the centroid x̅ of the shaded area.Solve the problem by evaluating the integrals using Simpson’s rule. y = 0.5e?
Locate the centroid y̅ of the shaded area. Solve the problem by evaluating the integrals using Simpson’s rule. y = 0.5e? I m
Locate the centroid x̅ of the area. y cy =h - h a h
Locate the centroid y̅ of the area. =ムー -y h - a h
Locate the centroid y̅ of the shaded area. y y = h a
Determine the location of the centroid C for the loop of the lemniscate, r2 = 2a cos2θ, (-45 ≤ θ ≤ 45°). 12 = 2a? cos 20
Locate the centroid of the quarter-cone. h
Locate the centroid z̅ of the spherical segment. 2 = a - y C. a y
Determine the location (x̅,y̅) of the center of gravity of the three-wheeler. The location of the center of gravity of each component and its weight are tabulated in the figure. If the three-wheeler is symmetrical with respect to the x–y plane, determine the normal reaction each of its wheels
Locate the centroid x̅ of the shaded area. y 4 m y = 4 - 16 -8 m-
Locate the centroid y̅ of the shaded area. y h y=ー -b
Locate the centroid x̅ of the area. y h
Locate the centroid y̅ of the shaded area. y 4 m 4 4 m
Locate the centroid x̅ of the shaded area. y 4 m - 4 m.
Locate the centroid of the shaded area. a cos- a
Determine the area and the centroid x̅ of the parabolic area. h
Locate the centroid y̅ of the area. 1 m -2 m
Determine the distance y̅ to the center of gravity of the homogeneous rod. 1 m 2 m Fy 2r
The tractor has a weight of 16,000 lb and the coefficient of rolling resistance is a = 2 in. Determine the force P needed to overcome rolling resistance at all four wheels and push it forward. P 2 ft- -6 ft – 2 ft 3 ft
The vehicle has a weight of 2600 lb and center of gravity at G. Determine the horizontal force P that must be applied to overcome the rolling resistance of the wheels. The coefficient of rolling resistance is 0.5 in. The tires have a diameter of 2.75 ft. G P 25 ft -5 ft- 2 ft
If a tension force T = 215 lb is required to pull the 200-lb force around the collar bushing, determine the coefficient of static friction at the contacting surface. The belt does not slip on the collar. 2 in. 1.125 in. 200 1b Т
Determine the tension T in the belt needed to overcome the tension of 200 lb created on the other side. Also, what are the normal and frictional components of force developed on the collar bushing? The coefficient of static friction is μs = 0.21. 2 in. 1.125 in. 200 1b Т
The pivot bearing is subjected to a parabolic pressure distribution at its surface of contact. If the coefficient of static friction is μs, determine the torque M required to overcome friction and turn the shaft if it supports an axial force P. P M R -p = Po (1-) Po
The conical bearing is subjected to a constant pressure distribution at its surface of contact. If the coefficient of static friction is determine μs the torque M required to overcome friction if the shaft supports an axial force P. M FR-
The pivot bearing is subjected to a pressure distribution at its surface of contact which varies as shown. If the coefficient of static friction is μ determine the torque M required to overcome friction if the shaft supports an axial force P. M -R- P= Po cos Ar 2R Ро
The double-collar bearing is subjected to an axial force P = 16 kN. Assuming that collar A supports 0.75P and collar B supports 0.25P, both with a uniform distribution of pressure, determine the smallest torque M that must be applied to overcome friction. Take μs = 0.2 for both collars. 100 mm M B
The collar bearing uniformly supports an axial force of P = 8 kN. If a torque of M = 200 N•m is applied to the shaft and causes it to rotate at constant velocity, determine the coefficient of kinetic friction at the surface of contact. M 150 mm- - 200 mm -
The collar bearing uniformly supports an axial force of P = 5 kN. If the coefficient of static friction is μs = 0.3, determine the smallest torque M required to overcome friction. M 150 mm- - 200 mm -
The 20-kg motor has a center of gravity at G and is pinconnected at C to maintain a tension in the drive belt. Determine the smallest counterclockwise twist or torque M that must be supplied by the motor to turn the disk B if wheel A locks and causes the belt to slip over the disk. No slipping
The belt on the portable dryer wraps around the drum D, idler pulley A, and motor pulley B.If the motor can develop a maximum torque of M = 0.80 N•m, determine the smallest spring tension required to hold the belt from slipping. The coefficient of static friction between the belt and the drum and
Determine the maximum and the minimum values of weight W which may be applied without causing the 50-lb block to slip. The coefficient of static friction between the block and the plane is μs = 0.2, and between the rope and the drum D μ's = 0.3. W 45°
The cylinder weighs 10 lb and is held in equilibrium by the belt and wall. If slipping does not occur at the wall, determine the minimum vertical force P which must be applied to the belt for equilibrium. The coefficient of static friction between the belt and the cylinder is μs = 0.25. 30° B 0.1
A minimum force of P = 50 lb is required to hold the cylinder from slipping against the belt and the wall. Determine the weight of the cylinder if the coefficient of friction between the belt and cylinder is μs = 0.3 and slipping does not occur at the wall. 30 B 0.1 ft
The smooth beam is being hoisted using a rope which is wrapped around the beam and passes through a ring at A as shown.If the end of the rope is subjected to a tension T and the coefficient of static friction between the rope and ring is μs = 0.3 determine the angle of θ for equilibrium. AT
Determine the horizontal force P that must be applied perpendicular to the handle of the lever at A in order to develop a compressive force of 12 kN on the material.Each single square-threaded screw has a mean diameter of 25 mm and a lead of 7.5 mm.The coefficient of static friction at all
If a horizontal force of P = 100 N is applied perpendicular to the handle of the lever at A, determine the compressive force F exerted on the material. Each single square-threaded screw has a mean diameter of 25 mm and a lead of 7.5 mm. The coefficient of static friction at all contacting surfaces
The square-threaded screw has a mean diameter of 20 mm and a lead of 4 mm. If the weight of the plate A is 5lb, determine the smallest coefficient of static friction between the screw and the plate so that the plate does not travel down the screw when the plate is suspended as shown. A
If the coefficient of static friction between all the surfaces of contact is μs, determine the force P that must be applied to the wedge in order to lift the block having a weight W. B
The two blocks used in a measuring device have negligible weight.If the spring is compressed 5 in. when in the position shown, determine the smallest axial force P which the adjustment screw must exert on B in order to start the movement of B downward. The end of the screw is smooth and the
The disk has a weight W and lies on a plane which has a coefficient of static friction μ. Determine the maximum height h to which the plane can be lifted without causing the disk to slip. 2a
Determine the greatest angle so that the ladder does not slip when it supports the 75-kg man in the position shown. The surface is rather slippery, where the coefficient of static friction at A and B is μs = 0.3. 0.25 m 2.5 m 2.5 m B'
Determine the smallest couple moment that can be applied to the 150-lb wheel that will cause impending motion. The uniform concrete block has a weight of 300 lb. The coefficients of static friction are μA = 0.2, μB = 0.3, and between the concrete block and the floor, μ = 0.4. -1 ft- 5 ft M 1.5
Beam AB has a negligible mass and thickness, and supports the 200-kg uniform block. It is pinned at A and rests on the top of a post, having a mass of 20 kg and negligible thickness. Determine the two coefficients of static friction at B and at C so that when the magnitude of the applied force is
Beam AB has a negligible mass and thickness, and supports the 200-kg uniform block. It is pinned at A and rests on the top of a post, having a mass of 20 kg and negligible thickness. Determine the minimum force P needed to move the post. The coefficients of static friction at B and C are μB = 0.4
The uniform crate has a mass of 150 kg. If the coefficient of static friction between the crate and the floor is μs = 0.2, determine the smallest mass of the man so he can move the crate. The coefficient of static friction between his shoes and the floor is μ's = 0.45. Assume the man exerts only
The uniform crate has a mass of 150 kg. If the coefficient of static friction between the crate and the floor is μs = 0.2, determine whether the 85-kg man can move the crate. The coefficient of static friction between his shoes and the floor is μ's = 0.4. Assume the man only exerts a horizontal
The homogenous semicylinder has a mass of 20 kg and mass center at G. If force P is applied at the edge, and r = 300 mm, determine the angle θ at which the semicylinder is on the verge of slipping. The coefficient of static friction between the plane and the cylinder is μs = 0.3. Also, what is
Investigate whether the equilibrium can be maintained. The uniform block has a mass of 500 kg, and the coefficient of static friction is μs = 0.3 200 mm A 600 mm 800 mm
The 100-kg disk rests on a surface for which μB = 0.2. Determine the smallest vertical force P that can be applied tangentially to the disk which will cause motion to impend. 0.5 m
Determine the smallest coefficient of static friction at both A and B needed to hold the uniform 100-lb bar in equilibrium. Neglect the thickness of the bar. Take μA = μB = μ. 3ft' B 13 ft 5 ft
Determine the maximum horizontal force P that can be applied to the 30-lb hoop without causing it to rotate. The coefficient of static friction between the hoop and the surfaces A and B is μs = 0.2. Take r = 300 mm. P A
The uniform hoop of weight W is subjected to the horizontal force P. Determine the coefficient of static friction between the hoop and the surface of A and B if the hoop is on the verge of rotating. P A
Determine the smallest force P that must be applied in order to cause the 150-lb uniform crate to move. The coefficent of static friction between the crate and the floor is μs = 0.5. ー2h- 3 ft
A worker walks up the sloped roof that is defined by the curve y = (5e0.01x) ft, where x is in feet. Determine how high h he can go without slipping. The coefficient of static friction is μs = 0.6. 5 ft
The beam is supported by a pin at A and a roller at B which has negligible weight and a radius of 15 mm. If the coefficient of static friction is μB = μC = 0.3, determine the largest angle u of the incline so that the roller does not slip for any force P applied to the beam. 2 m 2 m B
The ring has a mass of 0.5 kg and is resting on the surface of the table. In an effort to move the ring a normal force P from the finger is exerted on it. If this force is directed towards the ring’s center O as shown, determine its magnitude when the ring is on the verge of slipping at A. The
Determine the maximum weight W the man can lift with constant velocity using the pulley system, without and then with the “leading block” or pulley at A. The man has a weight of 200 lb and the coefficient of static friction between his feet and the ground is μs = 0.6. B B 45° (а) (b)
The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car. Both the front and rear brakes are locked. Take μs = 0.3. G. 30 0.3 m 0,6 m B -1 m- -1.50 m- 0.75 m
The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car if the back brakes are locked, and the front wheels are free to roll. Take μs = 0.3. 30 G. 0.6 m 0.3 m A B -1.501 0.75 m
The mine car and its contents have a total mass of 6 Mg and a center of gravity at G. If the coefficient of static friction between the wheels and the tracks is μs = 0.4 when the wheels are locked, find the normal force acting on the front wheels at B and the rear wheels at A when the brakes
The tractor exerts a towing force T = 400 lb. Determine the normal reactions at each of the two front and two rear tires and the tractive frictional force F on each rear tire needed to pull the load forward at constant velocity. The tractor has a weight of 7500 lb and a center of gravity located at
Determine the maximum force P the connection can support so that no slipping occurs between the plates. There are four bolts used for the connection and each is tightened so that it is subjected to a tension of 4 kN. The coefficient of static friction between the plates is μ = 0.4. P.
The power transmission cable weighs 10 lb/ft. If h = 10ft, determine the resultant horizontal and vertical forces the cables exert on tower BD. -300 ft -200 ft В 10 ft. h D
The power transmission cable weighs 10 lb/ft. If the resultant horizontal force on tower BD is required to be zero, determine the sag h of cable BC. -300 ft -200 ft 10 ft B C h D
Determine the maximum tension developed in the cable if it is subjected to the triangular distributed load. y B 20 ft 15 [A 300 lb/ft 20 ft
If the pipe has a mass per unit length of 1500 kg/m, determine the minimum tension developed in the cable. 30 m B 3 m
If the pipe has a mass per unit length of 1500 kg/m, determine the maximum tension developed in the cable. 30 m 3 m
The cable is subjected to a uniform loading of w = 200 lb/ft. Determine the maximum and minimum tension in the cable. 100 ft y B. 20 ft 200 lb/ft
If yB = 1.5 ft, determine the largest weight of the crate and its placement x so that neither cable segment AB, BC, or CD is subjected to a tension that exceeds 200 lb. -2 ft -3 ft 3 ft А YR 3 ft B
If x = 2 ft and the crate weighs 300 lb, which cable segment AB, BC, or CD has the greatest tension? What is this force and what is the sag yB? -3 ft -3 ft – Ув 3 ft B
Draw the shear and moment diagrams for the beam. 2 kip/ft A 1 kip/ft 15 ft
Draw the shear and moment diagrams for the beam. 6 kN/m 6 kN/m A B 1.5 m 1.5 m-
Draw the shear and moment diagrams for the beam. 6 kN 12 kN/m A B. 6 m 3 m
Draw the shear and moment diagrams for the beam. 9 kN/m 6 kN - m A B 3 m
Draw the shear and moment diagrams for the beam. 1500 lb 400 lb/ft t 400 lb/ft B 6 ft 6 ft- 4 ft-
Draw the shear and moment diagrams for the beam. 3 kN 6 kN/m B 1.5 m 1.5 m
Draw the shear and moment diagrams for the beam. 4 kN/m 2 kN/m B 3 m- 1.5 m
Draw the shear and moment diagrams for the beam. 6 kN/m 3 kN/m 3 m
Draw the shear and moment diagrams for the beam. 600 lb/ft B 3 ft - 6 ft 3 ft
Draw the shear and moment diagrams for the beam. 6 kN/m 3 kN/m C B 3 m 3 m
Draw the shear and moment diagrams for the beam. 9 kN/m 9 kN/m B 3 m 3 m
Draw the shear and moment diagrams for the beam. The supports at A and B are a thrust and journal bearing, respectively. 200 N/m B 600 N- m 300 N· m 6 m -
Draw the shear and moment diagrams for the beam. 400 lb/ft 900 lb · ft B 4 ft 2 ft- 3 ft-
Draw the shear and moment diagrams for the beam. 8 kN 15 kN/m 20 kN · m B -2 m-f1 m2 m- 3 m-
Draw the shear and moment diagrams for the beam. 2 kip/ft 50 kip · ft 50 kip - ft B 10 ft- 20 ft- 10 ft-
Draw the shear and moment diagrams for the beam. 15 kN 10 kN/m 20 kN· m B F2 m- m -2 m
Draw the shear and moment diagrams for the beam. 3 m 250 N/m 2 m 2 m- 500 N
Draw the shear and moment diagrams for the beam. The supports at A and B are a thrust bearing and journal bearing, respectively 600 N 300 N 1200 N/m B F0.5 m -1 m 0.5m 0.5 m-
Draw the shear and moment diagrams for the simplysupported beam. 2wo Wo A B L/2- L/2 -L/2-
Draw the shear and moment diagrams for the beam. The support at A offers no resistance to vertical load. Wo

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