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Chapter 9.1, Problem 9P

Locate the centroid x ¯ of the shaded area.

Chapter 9.1, Problem 9P, Locate the centroid x of the shaded area. Probs. 9-9/10

Probs. 9-9/10

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Q1: Determine the length, angle of contact, and width of a 9.75 mm thick leather belt required to transmit 15 kW from a motor running at 900 r.p.m. The diameter of the driving pulley of the motor is 300 mm. The driven pulley runs at 300 r.p.m. and the distance between the centers of two pulleys is 3 meters. The density of the leather is 1000 kg/m³. The maximum allowable stress in the leather is 2.5 MPa. The coefficient of friction between the leather and pulley is 0.3. Assume open belt drive.
5. A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having 20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day under light shock conditions, find from the standpoint of strength, 1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear. Check the gears thus designed from the consideration of wear. The surface endurance limit may be taken as 700 MPa. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 mm]
4. G A micarta pinion rotating at 1200 r.p.m. is to transmit 1 kW to a cast iron gear at a speed of 192 r.p.m. Assuming a starting overload of 20% and using 20° full depth involute teeth, determine the module, number of teeth on the pinion and gear and face width. Take allowable static strength for micarta as 40 MPa and for cast iron as 53 MPa. Check the pair in wear.

Chapter 9 Solutions

Engineering Mechanics: Statics Plus Mastering Engineering with Pearson eText -- Access Card Package (14th Edition) (Hibbeler, The Engineering Mechanics: Statics & Dynamics Series, 14th Edition)

Ch. 9.1 - Locate the center of gravity of the homogeneous...Ch. 9.1 - Determine the distance to the center of gravity...Ch. 9.1 - Locate the centroid of the area.Ch. 9.1 - Locate the centroid x of the parabolic area. Prob....Ch. 9.1 - Locate the centroid of the shaded area. Prob. 9-8Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9.1 - Locate the centroid of the area. Probs. 9-13/14Ch. 9.1 - Solve the problem by evaluating the integrals...Ch. 9.1 - Solve the problem by evaluating the integrals...Ch. 9.1 - Locate the centroid of the area. Prob. 9-17Ch. 9.1 - Locate the centroid x of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the shaded area.Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Determine the location of its center of gravity....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the area. Probs. 9-32/33Ch. 9.1 - Locate the centroid of the area. Probs. 9-32/33Ch. 9.1 - Determine the location of its center of mass. Also...Ch. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the circular sector.Ch. 9.1 - Determine the location r of the centroid C for the...Ch. 9.1 - The material is homogeneous. Prob. 9-39Ch. 9.1 - Locate the centroid of the paraboloid. Probs....Ch. 9.1 - Locate the centroid z of the frustum of the...Ch. 9.1 - Determine the centroid of the solid. Prob. 9-42Ch. 9.1 - Locate the centroid of the quarter-cone. Prob....Ch. 9.1 - Determine its mass and the distance z to the...Ch. 9.1 - Locate the centroid z of the volume. Prob. 9-45Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 9.1 - Locate the center of gravity z of the solid. Prob....Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 9.1 - Locate the centroid z of the spherical segment....Ch. 9.1 - Suggestion: Use a triangular plate element...Ch. 9.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid (x,y) of the cross-sectional...Ch. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - Determine the center of mass (x,y,z) of the...Ch. 9.2 - If the mass of the gusset plates at the joints and...Ch. 9.2 - Determine the location (x,y,z) of the centroid of...Ch. 9.2 - Determine the location (x,y) of the centroid of...Ch. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Each plate has a constant width in the z direction...Ch. 9.2 - Neglect the thickness of each segment. The mass...Ch. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Prob. 59PCh. 9.2 - Locate the centroid for the beams cross-sectional...Ch. 9.2 - Determine the location of the centroid C of the...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Determine the location (x,y) of the centroid C of...Ch. 9.2 - The beam is symmetric with respect to the y axis....Ch. 9.2 - Assume all corners are square and neglect the size...Ch. 9.2 - Prob. 68PCh. 9.2 - If it is folded over as shown, determine the...Ch. 9.2 - Locate the center of mass z of the forked level...Ch. 9.2 - Prob. 71PCh. 9.2 - Prob. 72PCh. 9.2 - Prob. 73PCh. 9.2 - The location of the center of gravity of each...Ch. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - Determine the location (x,y,z) of its centroid....Ch. 9.2 - It the cord is cut, the part will rotate about the...Ch. 9.2 - Prob. 78PCh. 9.2 - Prob. 79PCh. 9.2 - Prob. 80PCh. 9.2 - The assembly is made from a steel hemisphere. st =...Ch. 9.2 - The assembly is made from a steel hemisphere, st =...Ch. 9.2 - Prob. 83PCh. 9.2 - Determine the distance h to which a...Ch. 9.2 - Determine the distance z to the centroid of the...Ch. 9.2 - The cylinder and the cone are made from materials...Ch. 9.2 - Major floor loadings in a shop are caused by the...Ch. 9.2 - Determine the distance x to its center of gravity...Ch. 9.2 - Determine the mass and location (x,y,z) of its...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 14FPCh. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 90PCh. 9.3 - Prob. 91PCh. 9.3 - Determine the volume of the storage tank. Probs....Ch. 9.3 - Prob. 93PCh. 9.3 - Determine the total weight of the wall if the...Ch. 9.3 - Determine its volume.Ch. 9.3 - Prob. 96PCh. 9.3 - Determine the volume of concrete needed to...Ch. 9.3 - Do not include the area of the ends in the...Ch. 9.3 - Prob. 99PCh. 9.3 - Prob. 100PCh. 9.3 - Prob. 101PCh. 9.3 - Each gallon of paint can cover 250 ft2. Probs....Ch. 9.3 - Determine the surface area and the volume of the...Ch. 9.3 - Prob. 104PCh. 9.3 - Determine how many joules (J) are radiated within...Ch. 9.3 - Prob. 106PCh. 9.3 - Prob. 107PCh. 9.3 - Prob. 108PCh. 9.3 - Prob. 109PCh. 9.3 - Prob. 110PCh. 9.3 - Prob. 111PCh. 9.3 - Prob. 112PCh. 9.3 - Prob. 113PCh. 9.3 - Prob. 114PCh. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-17Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3.Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-19Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-20Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3....Ch. 9.5 - Determine the magnitude of the resultant force and...Ch. 9.5 - Determine the magnitude of the resultant force and...Ch. 9.5 - The load over the plate varies linearly along the...Ch. 9.5 - The load is defined by the expression p = p0 sin...Ch. 9.5 - If this pressure loading acts uniformly along the...Ch. 9.5 - For the condition of high tide shown, determine...Ch. 9.5 - Determine the resultant force the water exerts on...Ch. 9.5 - If the density of concrete is c = 2.5 Mg/m3, and...Ch. 9.5 - Determine this factor if the concrete has a...Ch. 9.5 - Determine the magnitude of the resultant...Ch. 9.5 - If it is filled to the top, determine the...Ch. 9.5 - Prob. 126PCh. 9.5 - Determine the reactions at these supports due to...Ch. 9.5 - The tank is filled with a liquid that has a...Ch. 9.5 - The gate has a width of 1.5 m. w = 1.0 Mg/m3....Ch. 9.5 - Prob. 130PCh. 9.5 - Locate the centroid x of the area.Ch. 9.5 - Locate the centroid of the area.Ch. 9.5 - Prob. 3RPCh. 9.5 - Locate the centroid of the rod. Prob. R9-4Ch. 9.5 - Prob. 5RPCh. 9.5 - Prob. 6RPCh. 9.5 - Determine the volume of material required to make...Ch. 9.5 - Prob. 8RPCh. 9.5 - Determine the horizontal and vertical components...Ch. 9.5 - Determine the magnitude of the resultant...
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