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?

Q: An 9.63-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A: The strain in the wire is strain=LΔL​=2.43×10−4Explanation:Step 1: Given- The mass of the stone is…

Q: After a fall, a 95 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A: Given:  mass, m = 95 kg  length of rope, L = 15 m  diameter of rope , d = 9.6 mm  extension in…

Q: An 11.0-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A:

Q: What is the compressive stress F/A on a woman's feet, in units of kilopascals (kPa) , if the woman's…

A: Given Data: The mass of a woman is, m=52.0 kg The area of each shoe is, A=185.0 cm2   The effective…

Q: The bulk modulus of a material is 1.0 × 1011 N/m2. What fractional change in volume does a piece of…

A: Given Data: The bulk modulus is, β=1.0×1011 N/m2 The increase in bulk stress is, Δp=107 N/m2   The…

Q: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

A:

Q: After a fall, a 97 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

A: Length of the rope,  L = 16 m = 16 x 102 cm Change in length of the rope, ∆L = 3.3 cm  Strain is…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50 x…

A: Given :      Young's modulus for bone, Y = 1.50*1010 N/m2       Stress to break the bone, S =…

Q: An 12.2-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m2) wire is being whirled in a…

A: Given that,    Mass (m) =12.2 kg  youngs Modulus (y) = 2X1011 N/m²    Tangential Speed (V) = 17.9…

Q: A solid copper cube has an edge length of 85.5 cm. How much stress must be applied to the cube to…

A: We know, Now,

Q: The table shown in the image below shoes the stress and strain values (in MPa) for a silk spider…

A:

Q: A steel wire of length 1.93 m with a circular cross-section must stretch no more than 0.240 cm when…

A:

Q: 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…

A:

Q: Consider a square-faced beam supporting a section of a building. a)  Before installation, the length…

A:

Q: A 600.00 N ballast is hung from the end of a wire of cross-sectional area 0.0000010 m^2. The wire…

A: a)The stress on the wire is,

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).