A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its end. (Ignore the mass of the girder itself.) If the girder is 9.50 m long, how much is it lengthened? Note that the Young’s modulus =200×10 9

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: solution as .

Q: end of a steel rod of radius R = 10mm and length L= 80 cm is held in a vise. A force of magnitude F…

A: Youngs modulus = mgL/πr²ΔL

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

A:

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

A: Length of steel wire (L) = 2 m Radius (R) = 0.3 mm Area = π×R2= π×(0.3×10-3)2 = 2.827×10-7 m2Tension…

Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.04 x 10-3 m2 is used to suspend a 4.00…

A: Using the help of Young's modulus we will solve the given question. Given(s): Length of the cable,…

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A:

Q: "One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: Youngs modulus=FL/AΔL

Q: A nylon rope used by mountaineers elongates 1.8 m under the weight of a 68-kg climber. If the rope…

A:

Q: If 1.0 m of concrete weighs 5.0 x 104 N, what is the height of the tallest cylindrical concrete…

A: The compression strength is given by, P=FA Here, F is the force applied and A is the area of…

Q: A 3800N load is hung on the end of an 18-m steel wire. What must be its diameter so that the stretch…

A: Given: The load is 3800 N. The length of the wire is 18 m. The elongation in the wire is 9 mm.…

Q: Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod…

A: Write the expression for Young’s modulus, solve it for the stress of the copper rod as follows.

Q: A cylindrical aluminum rod, with an initial length of 0.8769 m and radius 996.0 µm, is clamped in…

A: Given initial length of cylindrical aluminum rod Li = 0.8769 m initial radius of cylindrical…

Q: A 29.0 m long aluminum cable with a cross-sectional area of 2.01 x 10- m is used to suspend a 3.20 x…

A: The expression for young’s modulus of the material is, \Y=FAΔLL0ΔL=FL0AY=mgL0AY

Q: A 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

A:

Q: A rod with a radius of 0.005 m and length of 2 m stretches 0.002 m when subjected to a tension force…

A:

Q: A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each…

A: Shear modulus is the ratio of shear stress to the shear strain. Using the equation for shear…

Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A: Given data *The frictional force acting on each foot is F = 20.0 N *The area of each shoe's sole is…

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm2. By how much (in…

A:

Q: An 1800-kg elephant is placed on top of an aluminum cylinder, 4.3 meters high. The area of the top…

A: height of cylinder (h) = 4.3 m Surface area (A) = 0.080 m2mass of elephant (m) = 1800 kg Young's…

Q: A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each…

A: Given information: Here, f is the friction force, A is the area of the sole of the shoe, l is the…

Q: 25. Philip stands at the end of the diving board, 2m from its point of attachment. If the board is 1…

A: This problem can be solved by using formula of shear modulus.  And in the given scenario the only…

Q: A 2.50m long steel piano wire has a diameter of 0.50cm. How great is the tension in the wire if it…

A: Given:  Length of piano, L = 2.5 m  diameter of wire, d = 0.50 cm  radius of wire, r = 0.25 cm =…

Q: A steel wire of length 2.10 m with circular cross section must stretch no more than 0.300 cm when a…

A:

Q: A 200-kg load is hung on a wire having a length of 4.00 m, cross-sectional area 0.200 x 10-4 m2, and…

A: Load = 200 kg Length of wire (L) = 4 m Weight of load = 200×9.8= 1960 NArea = 2×10-5 m2Young's…

Q: Show transcribed image text For safety in climbing, a mountaineer uses a nylon rope that is 51m long…

A: Length, L = 51 m  elongation, l = 2.1 m mass, m = 110 kg diameter, d = 1.1 cm

Q: Consider two steel rods, A and B. B has three times the area and twice the length of A, so Young's…

A: We know that Young's modulus is property of matter and not depend on size . Here, both rods are made…

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A:

Q: A solid body of mass 200kg hanging from a steel. Wire 5m long, and cross section 0.08 cm^2. The wire…

A:

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

A: Given: Area of cross section A of the steel girder is 0.15 m2. Mass M hanging at the end is of 1550…

Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

Q: A compressive force of 3.1 × 10ª N is exerted on the end of a 23-cm-long bone of cross-sectional…

A: applied compressive force(F) = 31000 N Cross sectional area of bone = 3.7 cm 2 = 0.00037 m2…

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

A: Dear student The Young modulus is defined as: Y = Stress/ Strain Here stress = Force / Area Strain =…

Q: When a certain liquid freezes, it expands about 10.0%. What would be the pressure increase inside an…

A: Bulk modulus is relative change in volume of a body produced by compressive or tensile stress. And…

Q: A plank 2.00 cm thick and 16.3 cm wide is firmly attached to the railing of a ship by clamps so that…

A:

Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.80…

A: Given data:  Length (L) = 22.0 m Cross sectional area (A) = 2.01 × 10-3 m2 Mass (m) = 3.80 × 103 kg…

Q: The pole in the figure is a a 90° bend in a power line and is therefore subjected to more shear…

A: Tension in wires at top , T = 3.5 x 104 N Angle made by wire with the vertical , θ = 80° Height of…

Q: When a certain liquid freezes, it expands about 11.5%. What would be the pressure increase inside an…

A: Write the expression for bulk modulus

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

A:

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

A:

Q: 6. A steel beam is placed vertically in the basement of a building to keep the floor above from…

A:

Q: A brass wire which is 4.00 m long and 4.00 mm in diameter hangs from the ceiling. If a mass of 5.00…

A:

Q: A weight of 125 Newton is attached to a brass wire of 7.5 meters long. Young's modulus for brass is…

A: Given data: Weight of the load P=125N Length of the wire L=7.5m Radius of the wire r=0.7mm Young's…

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A:

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).