An aluminum wire is 0.850 m long and has a circular cross section of diameter 0.780 mm. Fixed at the top end, the wire supports a 1.20-kg object that swings in a horizontal circle. Determine the angular speed of the object required to produce a strain of 1.00 × 10-3.

A 1.0 x 10-3 kg spider is hanging vertically by a thread that has a Young’s modulus of 4.5 x 109 N/m 2. What is the cross-sectional area of the thread when strained (strain = 0.1) by the full weight of the spider?

Determine the moment M that will produce a maximum stress of 70 MPa on the cross-section.

One end of a vertical metallic wire of length 2.8 m and diameter 2.0 mm is attached to a ceiling, and the other end is attached to a 5.0 N weight pan, as shown below. REFER TO PICTURES FOR THE QUESTION. I AM HAVING TROUBLE WITH THE ONE PART.

A 1.6 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.3 x 109 N/m2 and a radius of 12 x 10-6 m. Suppose that a 96-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m2) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?

A sign (mass 2300 kg) hangs from the end of a vertical steel girder with a cross-sectional area of 0.010 m2. Ignore the mass of the girder itself. The elastic modulus for steel is 2.0×10^11N/m2. The stress is 2.3 x 10^6. What is the strain on the girder? It is not 1.2 x 10^-5. I know its stress is divided by the modulus. Not sure what I'm doing wrong. If the girder is 9.90 m long, how much is it lengthened?

A 1.25 m long cable has a diameter 3.50 mm with a Young’s Modulus, E, of 9.75 x 109 N/m2 . When the wire is placed under tension, it experiences a stress of 202.52 x 106 N/m2 , the length of the cable extends by 36.35 mm. Calculate the force that the cable experiences under tension and the strain energy density (U/V) due to deformation. Give your answers in newtons (N) to 2 decimal places for the force; and in joules per cubic metre (J/m3 ) for the strain energy density to 2 decimal places. Assume the cable is solid and the material is homogeneous.

An 10.3-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m?) wire is being whirled in a circle at a constant tangential speed of 10.0 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 4.54 m long and has a radius of 3.56 x 10-3m. Find the strain in the wire.