A high-speed lifting mechanism supports an 800.- kg object with a steel cable that is 25.0 m long and 4.00 cm2 in cross-sectional area. (a) Determine the elongation of the cable. (b) By what additional amount does the cable increase in length if the object is accelerated upward at a rate of 3.0 m/s2? (c) What is the greatest mass that can be accelerated upward at 3.0 m/s2 if the stress in the cable is not to exceed the elastic limit of the cable, which is 2.2 x 108 Pa?

Q: The second  floor  portion  of  a  house  is  about  to  break  down,  so  it  was  propped  up by…

A: The young's modulus is given as Y=FLA∆L…

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: The elevator in a vertical mine shaft is supported by a steel cable of cross-sectional area 3.20 x…

A:

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1100 kg object is…

A: a) Determine the shear stress of the rod.

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:

Q: A nylon rope used by mountaineers elongates under the weight of a 65.0-kg climber. If the rope is…

A: Given , Weight of climber = 65.0 kg             length of rope = 45.0 m             Diameter = 8.00…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: The shear modulus of the material can be determined as, G=FLAΔx

Q: The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given: s=2.0*108 Pad = 0.5 cm = 0.005 mM = 200 Kg

Q: For safety in climbing, a mountaineer uses a nylon rope that is 50. m long and 1.0 cm in diameter.…

A:

Q: A rubber band 20 cm long has a cross-sectional area of 0.04cm^2. What load (in dynes) will stretch…

A: Given data: The length of the rubber band is L = 20 cm. The cross-sectional area of the rubber band…

Q: A rubber band 20 cm long has a cross-sectional area of 4 mm?. What load will stretch the rubber band…

A: Given data: Length of the rubber band, L=20 cm = 0.20 m Cross section area of the band, A=4…

Q: Calculate the force a piano tuner applies to stretch a steel piano wire by 8.00 mm, if the wire is…

A: The cross-sectional area of the wire can be obtained as

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 three-legged wooden bar stool made out of solid Douglas fir has legs that are 2.0 cm in diameter.…

A:

Q: diameter of a steel cable to support a tension of 20 kN? 2. A rubber band 20 cm long has a…

A: According to the guidelines issued by the company we are supposed to answer only first question.…

Q: A horizontal aluminum rod 3.6 cm in diameter projects 5.6 cm from a wall. A 1000 kg object is…

A: Given:-  A horizontal aluminum rod of diameter d = 3.6 cm = 0.036 m  The distance from the wall is L…

Q: A copper wire is 1.0 m long and its diameter is 1.0 mm. If the wire hangs vertically, how much…

A:

Q: A horizontal aluminum rod 3.9 cm in diameter projects 7.1 cm from a wall. A 1200 kg object is…

A:

Q: The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150…

A:

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: A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional…

A:

Q: what is the percentage elongation of an elastic with a cross section of 5 cm2 If the force of 15 N…

A: Given- area of cross-sectional of elastic , A = 5 cm2 = 5 x 10-4 m2 applied force , F =15 N Young's…

Q: A 1200-kg car is being raised with a constant acceleration of 2.53 m/s by a crane, using a 20-m long…

A: Given that--- mass = 1200 kg acceleration = 2.53 m/sec2 length L = 20 m diameter = 1.5 cm Young…

Q: An 800Kg lift is suspended by a steel cable whose allowable stress is 1.2x10^8N/m^2. What is the…

A: Given that,  The mass of the lift, m is 800kg. The allowable stress on the steel cable, σ is 1.2×108…

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: In a structure you need to place a 7.8 m steel wire that does not stretch more than 8.5 cm when a…

A: Write the given values with suitable variables. L0=7.8 mΔL=8.5 cm=0.085 mF=391.6 NE=20×1010 N/m2…

Q: A horizontal aluminum rod 4.7 cm in diameter projects 4.4 cm from a wall. A 1100 kg object is…

A: Given: Diameter of aluminum rod, d=4.7 cm projects at a distance L= 4.4 cm from a wall. Mass of…

Q: 9. A stainless-steel orthodontic wire is applied to a tooth, as in Figure. The wire has an…

A:

Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What…

A: Given, Diameter of the metal bar, d = 6.0 mm = 6.0 × 10–3 mRadius, r = d/2 = 2.5 × 10-3 m Maximum…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Shear modulus of the material is, η=FLAx=FLL2x=FLx

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 7.90 mm, if the wire…

A: Given data: Stretch (elongation) in steel wire ?l = 7.90 mm The original length of wire L = 1.3 m…

Q: A 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14…

A: Given data: The height of cylinder is l=5 m. Load supported P=450 kN. Maximum allowable stress is…

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

A: We need to calculate the elongation of the rod when the given force is applied.

Q: TOW TRUCK IS PULLING A CAR OUT OF A DITCH BY MEANS OF STEEL CABLE THAT IS 8.3m LONG AND HAS A RADIUS…

A:

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Let the force applied on the cube is denoted as F and it displaces the upper face by distance x. The…

Q: 6. A steel wire is 4.5 m long and 2 mm in a diameter. Given Young's Modulus for steel is 196000 MPa.…

A:

Q: By how much does a 65.0-kg mountain climber stretch her 0.800-cm diameter nylon rope when she hangs…

A: The expression for find change in length is ∆l=FlAY=mglAY

Q: A 480 mm long thighbone (femur), which is the largest and longest bone in the human body, has a…

A: Given that  young modulus = 15x 108 N/m2 length of femur = 480 mm =0.480 m cross sectional area =…

Q: A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the value of the…

A: The stress is defined as the force per unit area.

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: shear modulus is given by, G =FlA∆xwhere, F=force acting on the body =2×106 dynes = 20 Nl =initial…

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1200 kg object is…

A:

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

A:

Q: Calculate the force a piano tuner applies to stretch a steel piano wire 7.50 mm, if the wire is…

A: Write a given values of this question. Original length of piano. L=1.35m Stretch length of piano.…

Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 8.0 mm. What…

A: Diameter of each rivet,

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).