- 9.9.1: Determine by direct integration the moment of inertia of the shaded...
- 9.9.2: Determine by direct integration the moment of inertia of the shaded...
- 9.9.3: Determine by direct integration the moment of inertia of the shaded...
- 9.9.4: Determine by direct integration the moment of inertia of the shaded...
- 9.9.5: Determine by direct integration the moment of inertia of the shaded...
- 9.9.6: Determine by direct integration the moment of inertia of the shaded...
- 9.9.7: Determine by direct integration the moment of inertia of the shaded...
- 9.9.8: Determine by direct integration the moment of inertia of the shaded...
- 9.9.9: Determine by direct integration the moment of inertia of the shaded...
- 9.9.10: Determine by direct integration the moment of inertia of the shaded...
- 9.9.11: Determine by direct integration the moment of inertia of the shaded...
- 9.9.12: Determine by direct integration the moment of inertia of the shaded...
- 9.9.13: Determine by direct integration the moment of inertia of the shaded...
- 9.9.14: Determine by direct integration the moment of inertia of the shaded...
- 9.9.15: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.16: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.17: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.18: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.19: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.20: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.21: Determine the polar moment of inertia and the polar radius of gyrat...
- 9.9.22: Determine the polar moment of inertia and the polar radius of gyrat...
- 9.9.23: Determine the polar moment of inertia and the polar radius of gyrat...
- 9.9.24: Determine the polar moment of inertia and the polar radius of gyrat...
- 9.9.25: (a) Determine by direct integration the polar moment of inertia of ...
- 9.9.26: a) Show that the polar radius of gyration kO of the semiannular are...
- 9.9.27: Determine the polar moment of inertia and the polar radius of gyrat...
- 9.9.28: Determine the polar moment of inertia and the polar radius of gyrat...
- 9.9.29: Using the polar moment of inertia of the isosceles triangle of Prob...
- 9.9.30: Prove that the centroidal polar moment of inertia of a given area A...
- 9.9.31: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.32: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.33: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.34: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.35: Determine the moments of inertia of the shaded area shown with resp...
- 9.9.36: Determine the moments of inertia of the shaded area shown with resp...
- 9.9.37: The shaded area is equal to 50 in2 . Determine its centroidal momen...
- 9.9.38: The polar moments of inertia of the shaded area with respect to poi...
- 9.9.39: Determine the shaded area and its moment of inertia with respect to...
- 9.9.40: Knowing that the shaded area is equal to 7500 mm2 and that its mome...
- 9.9.41: Determine the moments of inertia Ix and Iy of the area shown with r...
- 9.9.42: Determine the moments of inertia Ix and Iy of the area shown with r...
- 9.9.43: Determine the moments of inertia Ix and Iy of the area shown with r...
- 9.9.44: Determine the moments of inertia Ix and Iy of the area shown with r...
- 9.9.45: Determine the polar moment of inertia of the area shown with respec...
- 9.9.46: Determine the polar moment of inertia of the area shown with respec...
- 9.9.47: Determine the polar moment of inertia of the area shown with respec...
- 9.9.48: Determine the polar moment of inertia of the area shown with respec...
- 9.9.49: Two channels and two plates are used to form the column section sho...
- 9.9.50: Two L6 3 4 3 1 2-in. angles are welded together to form the section...
- 9.9.51: Two channels are welded to a rolled W section as shown. Determine t...
- 9.9.52: Two 20-mm steel plates are welded to a rolled S section as shown. D...
- 9.9.53: A channel and a plate are welded together as shown to form a sectio...
- 9.9.54: The strength of the rolled W section shown is increased by welding ...
- 9.9.55: Two L76 3 76 3 6.4-mm angles are welded to a C250 3 22.8 channel. D...
- 9.9.56: Two L4 3 4 3 1 2-in. angles are welded to a steel plate as shown. D...
- 9.9.57: The panel shown forms the end of a trough that is filled with water...
- 9.9.58: The panel shown forms the end of a trough that is filled with water...
- 9.9.59: The panel shown forms the end of a trough that is filled with water...
- 9.9.60: The panel shown forms the end of a trough that is filled with water...
- 9.9.61: A vertical trapezoidal gate that is used as an automatic valve is h...
- 9.9.62: The cover for a 0.5-m-diameter access hole in a water storage tank ...
- 9.9.63: Determine the x coordinate of the centroid of the volume shown. (Hi...
- 9.9.64: Determine the x coordinate of the centroid of the volume shown; thi...
- 9.9.65: Show that the system of hydrostatic forces acting on a submerged pl...
- 9.9.66: Show that the resultant of the hydrostatic forces acting on a subme...
- 9.9.67: Determine by direct integration the product of inertia of the given...
- 9.9.68: Determine by direct integration the product of inertia of the given...
- 9.9.69: Determine by direct integration the product of inertia of the given...
- 9.9.70: Determine by direct integration the product of inertia of the given...
- 9.9.71: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.72: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.73: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.74: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.75: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.76: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.77: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.78: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.79: Determine for the quarter ellipse of Prob. 9.67 the moments of iner...
- 9.9.80: Determine the moments of inertia and the product of inertia of the ...
- 9.9.81: Determine the moments of inertia and the product of inertia of the ...
- 9.9.82: Determine the moments of inertia and the product of inertia of the ...
- 9.9.83: Determine the moments of inertia and the product of inertia of the ...
- 9.9.84: Determine the moments of inertia and the product of inertia of the ...
- 9.9.85: For the quarter ellipse of Prob. 9.67, determine the orientation of...
- 9.9.86: For the area indicated, determine the orientation of the principal ...
- 9.9.87: For the area indicated, determine the orientation of the principal ...
- 9.9.88: For the area indicated, determine the orientation of the principal ...
- 9.9.89: For the angle cross section indicated, determine the orientation of...
- 9.9.90: For the angle cross section indicated, determine the orientation of...
- 9.9.91: Using Mohrs circle, determine for the quarter ellipse of Prob. 9.67...
- 9.9.92: Using Mohrs circle, determine the moments of inertia and the produc...
- 9.9.93: Using Mohrs circle, determine the moments of inertia and the produc...
- 9.9.94: Using Mohrs circle, determine the moments of inertia and the produc...
- 9.9.95: Using Mohrs circle, determine the moments of inertia and the produc...
- 9.9.96: Using Mohrs circle, determine the moments of inertia and the produc...
- 9.9.97: For the quarter ellipse of Prob. 9.67, use Mohrs circle to determin...
- 9.9.98: Using Mohrs circle, determine for the area indicated the orientatio...
- 9.9.99: Using Mohrs circle, determine for the area indicated the orientatio...
- 9.9.100: Using Mohrs circle, determine for the area indicated the orientatio...
- 9.9.101: Using Mohrs circle, determine for the area indicated the orientatio...
- 9.9.102: Using Mohrs circle, determine for the area indicated the orientatio...
- 9.9.103: The moments and product of inertia of an L4 3 3 3 1 4-in. angle cro...
- 9.9.104: Using Mohrs circle, determine for the cross section of the rolled-s...
- 9.9.105: Using Mohrs circle, determine for the cross section of the rolled-s...
- 9.9.106: For a given area the moments of inertia with respect to two rectang...
- 9.9.107: It is known that for a given area Iy 5 48 3 106 mm4 and Ixy 5 220 3...
- 9.9.108: Using Mohrs circle, show that for any regular polygon (such as a pe...
- 9.9.109: Using Mohrs circle, prove that the expression Ix Iy 2 I 2 xy is ind...
- 9.9.110: Using the invariance property established in the preceding problem,...
- 9.9.111: A thin plate of mass m is cut in the shape of an equilateral triang...
- 9.9.112: The elliptical ring shown was cut from a thin, uniform plate. Denot...
- 9.9.113: A thin semicircular plate has a radius a and a mass m. Determine th...
- 9.9.114: The quarter ring shown has a mass m and was cut from a thin, unifor...
- 9.9.115: A piece of thin, uniform sheet metal is cut to form the machine com...
- 9.9.116: A piece of thin, uniform sheet metal is cut to form the machine com...
- 9.9.117: A thin plate of mass m was cut in the shape of a parallelogram as s...
- 9.9.118: A thin plate of mass m was cut in the shape of a parallelogram as s...
- 9.9.119: Determine by direct integration the mass moment of inertia with res...
- 9.9.120: The area shown is revolved about the x axis to form a homogeneous s...
- 9.9.121: The area shown is revolved about the x axis to form a homogeneous s...
- 9.9.122: Determine by direct integration the mass moment of inertia with res...
- 9.9.123: Determine by direct integration the mass moment of inertia with res...
- 9.9.124: Determine by direct integration the mass moment of inertia with res...
- 9.9.125: A thin rectangular plate of mass m is welded to a vertical shaft AB...
- 9.9.126: A thin steel wire is bent into the shape shown. Denoting the mass p...
- 9.9.127: Shown is the cross section of an idler roller. Determine its mass m...
- 9.9.128: Shown is the cross section of a molded flat-belt pulley. Determine ...
- 9.9.129: The machine part shown is formed by machining a conical surface int...
- 9.9.130: Given the dimensions and the mass m of the thin conical shell shown...
- 9.9.131: A square hole is centered in and extends through the aluminum machi...
- 9.9.132: The cups and the arms of an anemometer are fabricated from a materi...
- 9.9.133: After a period of use, one of the blades of a shredder has been wor...
- 9.9.134: Determine the mass moment of inertia of the 0.9-lb machine componen...
- 9.9.135: A 2-mm-thick piece of sheet steel is cut and bent into the machine ...
- 9.9.136: A 2-mm-thick piece of sheet steel is cut and bent into the machine ...
- 9.9.137: A subassembly for a model airplane is fabricated from three pieces ...
- 9.9.138: The cover for an electronic device is formed from sheet aluminum th...
- 9.9.139: A framing anchor is formed of 0.05-in.-thick galvanized steel. Dete...
- 9.9.140: A farmer constructs a trough by welding a rectangular piece of 2-mm...
- 9.9.141: The machine element shown is fabricated from steel. Determine the m...
- 9.9.142: Determine the mass moments of inertia and the radii of gyration of ...
- 9.9.143: Determine the mass moment of inertia of the steel machine element s...
- 9.9.144: Determine the mass moment of inertia of the steel machine element s...
- 9.9.145: Determine the mass moment of inertia of the steel fixture shown wit...
- 9.9.146: Aluminum wire with a weight per unit length of 0.033 lb/ft is used ...
- 9.9.147: The figure shown is formed of 1 8-in.-diameter steel wire. Knowing ...
- 9.9.148: A homogeneous wire with a mass per unit length of 0.056 kg/m is use...
- 9.9.149: Determine the mass products of inertia Ixy, Iyz, and Izx of the ste...
- 9.9.150: Determine the mass products of inertia Ixy, Iyz, and Izx of the ste...
- 9.9.151: Determine the mass products of inertia Ixy, Iyz, and Izx of the cas...
- 9.9.152: Determine the mass products of inertia Ixy, Iyz, and Izx of the cas...
- 9.9.153: A section of sheet steel 2 mm thick is cut and bent into the machin...
- 9.9.154: A section of sheet steel 2 mm thick is cut and bent into the machin...
- 9.9.155: A section of sheet steel 2 mm thick is cut and bent into the machin...
- 9.9.156: A section of sheet steel 2 mm thick is cut and bent into the machin...
- 9.9.157: The figure shown is formed of 1.5-mm-diameter aluminum wire. Knowin...
- 9.9.158: Thin aluminum wire of uniform diameter is used to form the figure s...
- 9.9.159: Brass wire with a weight per unit length w is used to form the figu...
- 9.9.160: Brass wire with a weight per unit length w is used to form the figu...
- 9.9.161: Complete the derivation of Eqs. (9.47), which express the parallela...
- 9.9.162: For the homogeneous tetrahedron of mass m shown, (a) determine by d...
- 9.9.163: The homogeneous circular cone shown has a mass m. Determine the mas...
- 9.9.164: The homogeneous circular cylinder shown has a mass m. Determine the...
- 9.9.165: Shown is the machine element of Prob. 9.141. Determine its mass mom...
- 9.9.166: Determine the mass moment of inertia of the steel fixture of Probs....
- 9.9.167: The thin bent plate shown is of uniform density and weight W. Deter...
- 9.9.168: A piece of sheet steel of thickness t and specific weight g is cut ...
- 9.9.169: Determine the mass moment of inertia of the machine component of Pr...
- 9.9.170: For the wire figure of the problem indicated, determine the mass mo...
- 9.9.171: For the wire figure of the problem indicated, determine the mass mo...
- 9.9.172: For the wire figure of the problem indicated, determine the mass mo...
- 9.9.173: For the homogeneous circular cylinder shown, of radius a and length...
- 9.9.174: For the rectangular prism shown, determine the values of the ratios...
- 9.9.175: For the right circular cone of Sample Prob. 9.11, determine the val...
- 9.9.176: Given an arbitrary body and three rectangular axes x, y, and z, pro...
- 9.9.177: Consider a cube of mass m and side a. (a) Show that the ellipsoid o...
- 9.9.178: Given a homogeneous body of mass m and of arbitrary shape and three...
- 9.9.179: The homogeneous circular cylinder shown has a mass m, and the diame...
- 9.9.180: For the component described in the problem indicated, determine (a)...
- 9.9.181: For the component described in the problem indicated, determine (a)...
- 9.9.182: For the component described in the problem indicated, determine (a)...
- 9.9.183: For the component described in the problem indicated, determine (a)...
- 9.9.184: For the component described in the problem indicated, determine (a)...
- 9.9.185: Determine by direct integration the moments of inertia of the shade...
- 9.9.186: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.187: Determine the moment of inertia and the radius of gyration of the s...
- 9.9.188: Determine the moments of inertia Ix and Iy of the area shown with r...
- 9.9.189: Determine the polar moment of inertia of the area shown with respec...
- 9.9.190: Two L5 3 3 3 1 2-in. angles are welded to a 1 2-in. steel plate. De...
- 9.9.191: Using the parallel-axis theorem, determine the product of inertia o...
- 9.9.192: For the L5 3 3 3 1 2-in. angle cross section shown, use Mohrs circl...
- 9.9.193: A thin plate of mass m has the trapezoidal shape shown. Determine t...
- 9.9.194: A thin plate of mass m has the trapezoidal shape shown. Determine t...
- 9.9.195: A 2-mm-thick piece of sheet steel is cut and bent into the machine ...
- 9.9.196: Determine the mass moment of inertia and the radius of gyration of ...

# Solutions for Chapter 9: Vector Mechanics for Engineers: Dynamics 10th Edition

## Full solutions for Vector Mechanics for Engineers: Dynamics | 10th Edition

ISBN: 9780073398136

Solutions for Chapter 9

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Solutions for Chapter 9

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Since 196 problems in chapter 9 have been answered, more than 135584 students have viewed full step-by-step solutions from this chapter. Chapter 9 includes 196 full step-by-step solutions. Vector Mechanics for Engineers: Dynamics was written by and is associated to the ISBN: 9780073398136. This textbook survival guide was created for the textbook: Vector Mechanics for Engineers: Dynamics, edition: 10. This expansive textbook survival guide covers the following chapters and their solutions.

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