Questions from Mechanics


Q: A copper tube with circular cross section has length L = 1

A copper tube with circular cross section has length L = 1.25 m, thickness t = 2 mm, and shear modulus of elasticity G = 45 GPa. The bar is designed to carry a 300 Nm? torque acting at the ends. If th...

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Q: A laminated plastic beam of square cross section is built up by

A laminated plastic beam of square cross section is built up by gluing together three strips, each 10 mm × 30 mm in cross section (see figure). The beam has a total weight of 3.6 N and is...

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Q: A prospector uses a hand-powered winch (see figure)

A prospector uses a hand-powered winch (see figure) to raise a bucket of ore in his mine shaft. The axle of the winch is a steel rod of diameter d = 0.625 in. Also, the distance from the center of the...

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Q: When drilling a hole in a table leg, a furniture maker

When drilling a hole in a table leg, a furniture maker uses a hand-operated drill (see figure) with a bit of diameter d = 4.0 mm. (a) If the resisting torque supplied by the table leg is equal to 0.3...

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Q: While removing a wheel to change a tire, a driver applies

While removing a wheel to change a tire, a driver applies forces P = 25 lb at the ends of two of the arms of a lug wrench (see figure). The wrench is made of steel with shear modulus of elasticity G =...

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Q: An aluminum bar of solid circular cross section is twisted by torques

An aluminum bar of solid circular cross section is twisted by torques T acting at the ends (see figure). The dimensions and shear modulus of elasticity are L = 1.4 m, d = 32 mm, and G = 28 GPa. (a) De...

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Q: A high-strength steel drill rod used for boring a hole

A high-strength steel drill rod used for boring a hole in the earth has a diameter of 0.5 in. (see figure). The allowable shear stress in the steel is 40 ksi and the shear modulus of elast...

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Q: A circular tube of aluminum is subjected to torsion by torques T

A circular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure). The bar is 24 in. long, and the inside and outside diameters are 1.25 in. and 1.75 in., respectively....

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Q: A propeller shaft for a small yacht is made of a solid

A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assu...

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Q: Three identical circular disks A, B, and C are welded

Three identical circular disks A, B, and C are welded to the ends of three identical solid circular bars (see figure). The bars lie in a common plane and the disks lie in planes perpendicular to the a...

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