A 61 cm long copper wire is clamped at one end and a stone weighing 2.2 kg is attached to the other end. The stone is rotated in a horizontal plane with an angular velocity of 13 rad/s. To what lenght does the wire get streched? The surface of the wire cross section is 1.3 mm². The elastic modulus of copper is 120 GPa.

Q: A cylindrical rod having a cross sectional area of 20 mm2 is pulled in a tension and this is the…

A: Dear student According to Hook's Law, the Stress is directly proportional to Strain. So Young's…

Q: What is the maximum load that could be suspended from a copper wire of length 1.00 m and radius 1.08…

A:

Q: A metal rod is 4.00m long and has a cross-sectional area of 0.50cm^2. It stretches 0.20cm under a…

A: Given data:  Original Length (L) = 4.00 m Cross section area (A) = 0.50 cm2 = 0.50×10-4 m2 Stretch…

Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

Q: One end of a brass wire 120 cm long and a diameter of 0.24 cm is fastened to a point in the ceiling.…

A: Length of wire l=120 cm, diameter of the wire d=0.24 cm (radius r=d/2=0.12 cm), weight of the body…

Q: What hanging mass will stretch a 2.0-mm-long, 0.59-mmmm-diameter steel wire by 1.2 mmmm ? The…

A:

Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m2) that is…

A: Given that, Young's modulus of steel =2.0×1011 N/m2 Length of the wire  = 9.70 m Radius of the wire…

Q: A copper wire of length 6.1 m, cross sectional area 1.7 7 * 10^-6 * m^2 Young's modulus 11 * 10^10…

A: Given data: Length (L) = 6.1 m Cross-sectional area (A) = 1.77×10-6 m2 Young's modulus (Y) = 11×1010…

Q: Calculate the shear modulus (G) for a cylindrical steel specimen. Assuming the elastic modulus is…

A:

Q: A piece of wire of Young's moduluS 2.0 x 10" Pa, of diameter 2.0 mm and of length 2.0 m is…

A:

Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

A:

Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

A:

Q: A solid copper cube has an edge length of 89.3 cm. How much stress must be applied to the cube to…

A:

Q: A nylon string on a tennis racket is under a tension of 275 N. If the string's radius is 5.00 x 10-4…

A: The equation for the change in length can be obtained from equation for the Young’s Modulus as

Q: N/m The young's modulus of a material whose elastic strain and stress are 1.45 and 108.96 N/m2…

A:

Q: Two cylindrical rods, one steel (Y = 2.00×10" Pa) and the other copper (Y = 1.10×10" Pa), are joined…

A: SOlution: Given that Steel, Y = 2x1011 Pa copper, Y = 1.1x1011 Pa Steel, L =1.3 m Copper ,L =2.6 m…

Q: A violin string has a radius of 4.1 x 104m. During tuning, 32.5 cm of the string is placed under a…

A: Given Initial lenth of string is 32.5 cm Elongation of lenth is 0.93 cm Assume elongation in elastic…

Q: A solid copper cube has an edge length of 81.6 cm. How much stress must be applied to the cube to…

A: Given: L=81.6 cmL'=81.0 cmB=1.4*1011 N/m2

Q: Find the minimum diameter of a (50 m)- long nylon string that will stretch no more than (1 cm) when…

A:

Q: solid copper cube has an edge length of 81.3 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.3 cm = 0.813 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: The bulk modulus of K, modulus of elasticity E and Poisson's ratio is then which of m the following…

A: The relation between the bulk modulus(K), modulus of Elasticity(E) and the Poisson's ratio(ν) is…

Q: A solid copper cube has an edge length of 88.9 cm. How much stress must be applied to the cube to…

A:

Q: A force of 5000N is applied outwardly to each end of a 5.0-m long rod with a radius of 34.0 cm and a…

A:

Q: - Part E Consider a steel guitar string of initial length L =1.00 m and cross-sectional area A =…

A: NOTE- Since the new length in Part D is not visible in the picture you posted, so we will solve Part…

Q: 40. A body of weight 20 N is suspended from a fixed point O by a light elastic string of natural…

A: The tension produced in the string or spring is directly proportional to the extension as

Q: A wire stretches from 2000 mm to 2005 mm when a 500-N box hangs from one end of it. The wire has a…

A: Original length of wire (L) = 2000 mm = 2 m New length of wire (L') = 2005 mm= 2.005 m Force (F) =…

Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A:

Q: Consider a structure including the horizontal beam AB hinged to the wall at point A and supported by…

A: According to our policies, I can answer only first three subparts of this problem. The detailed…

Q: A wire has a mass 5.3 g and length 2.50m. A force of 50 N can extend it by 2.3 mm. Determine (a) the…

A: we know that  density = mass/volume 2.7x103=5.3x10-3A x 2.5Area = A = 7.85 x10-7 m2

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

A:

Q: A particular human hair has a Young's modulus of 3.64 × 10° N/m² and a diameter of 148 μm. If a 217…

A:

Q: A cylindrical specimen of a iron with a Young's modulus of 220 GPa has an original length of 220 mm…

A:

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: A solid copper cube has an edge length of 81.9 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.9 cm = 0.819 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

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: 12 mm -75 mm-| |–12 mm 12 mm 75 mm 250 mm D H|-12 mm

A:

Q: A cylindrical specimen of some metal alloy of 8 mm in diameter is stressed elastically in tension. A…

A:

Q: A marble column with a cross-sectional area of 25.2 cm2 supports a load of 7.0 × 104 N. The marble…

A:

Q: A solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

A: The stress that must be applied to the cube is 2.726 x 109 N/m2

Q: A particular human hair has a Young's modulus of 3.63×109 N/m2 and a diameter of 145 μm. If a 228 g…

A: Write the expression for Young’s modulus, and solve for the change in length of the hair.

Q: A solid copper cube has an edge length of 93.8 cm. How much stress must be applied to the cube to…

A: Given Initial length of the copper cube is li=93.8 cm=0.938 m Final length of the copper cube is…

Q: A solid copper cube has an edge length of 89.8 cm. How much stress must be applied to the cube to…

A:

Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A:

Q: A 15 cm long animal tendon was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given Data : The length of the animal tendon is given as l=15cm=15cm×1m100cm=15×10-2m. The change in…

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).