A satellite similar to the Tethered Satellite in the figure below has a mass of 550 kg and is at the end of a 19.2 km long, 2.90 mm diameter cable with the tensile strength of steel.   (a)How much does the cable stretch (in m) if a 108 N force is exerted to pull the satellite in? (Assume the satellite and shuttle are at the same altitude above the Earth. Young's modulus for steel is 210 ✕ 109 N/m2.) m   (b)What is the effective force constant of the cable (in N/m)? N/m   (c)How much energy (in J) is stored in it when stretched by the 108 N force?

Q: Two 12-mm thick steel plates are fastened together as shown, by means of two 20-mm bolts that fit…

A: Given Steel plate thickness t  = 12 mm Diameter of the bolt d = 20 mm Force…

Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000 N along the top…

A: Length=0.5m Shear force=5000N Shear constant=8.3×10^10N/m2 Shearing angle=?

Q: Two wires have diameters in the ratio 1 : 2, lengths in the ratio 3 : 4 and Young's moduli in the…

A: To find-Ratio of elongations producedGiven-Diameters of two wires are inn the ratio,D1D2=12

Q: An 11.8-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m2) wire is being whirled in a…

A: Calculate the force exerted on the wire. F=mv2l=11.81423.83=603.86 N

Q: A strand of dragline spider silk has a diameter of 6.0 μm, and can support a mass of 2.9 g.…

A: Required : Approximately how many copper wires would it take tosupport the same mass?

Q: The Young’s modulus for steel is at most 215 GPa (1 GPa= 109 N/m2).  If you apply a force of 50.0…

A: Given quantities: Young's modulus of steel (Y) = 215 GPa Applied force (F) = 50 GPa initial length…

Q: )A strand of dragline silk is 6 um about in diameter, about 10% the diameter of a human hair. What…

A:

Q: A helicopter is using a circular steel cable to lift a m = 2100-kg jeep. The unstretched length of…

A: mass of jeep (m) = 2100 kg Length of cable (L) = 16 m Radius of cable (R) = 0.005 m upwards…

Q: A block of mass M = 9 kg is tied to a homogeneous rope of length m = 1 kg L = 1 m. F = 100 N. What…

A: Given: The mass of the block M = 9 kg. The mass of the rope m = 1 kg. The length of the rope L = 1…

Q: Ex. 3: A copper metal cube has each side of length 1m. The bottom edge of cube is fixed and…

A: To find-Lateral displacement (x)=?GIven-Length of each side (L)=1 mTangential force (F)=4.2×108…

Q: The cross-sectional dimensions of the beam shown in the figure are a = 5.0 in., b = 5.5 in., d = 4.6…

A: Concept: To determine the Maximum Tension and Compression Bending Stress we will divide the Cross…

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: The femur bone in a human leg has a minimum effective cross section of 2.85 cm² and an ultimate…

A:

Q: Two wires A and B are of the same length. Their diameters are in the ratio 1:2 and the Young's…

A: To find- Ratio of elongation produced eA/eB=? Given- Length of wire A=Length of wire B…

Q: we analyzed a cable used to support an actor as he swings onto the stage. Now suppose the tension in…

A:

Q: A cylindrically shaped piece of collagen (a substance found in the body in connective tissue) is…

A: Force, F = 0.0398 N Length, L = 2.03 cm Radius, r = 0.0791 cm Y = 3.1x106 N/m2

Q: The Young's modulus for aluminium is 7 × 10¹0 Pa. You want an aluminium wire to not stretch more…

A: Given data:  Young's modulus (Y) = 7×1010 Pa Stretch in wire (ΔL) = 1.8 cm = 0.018 m Original Length…

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 16.7 cm long tendon is found to stretch 4.22 mm when a force of 15.8 N is applied to it. If the…

A:

Q: A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

A:

Q: A tendon is subjected to tensile forces. The cross-sectional area of the tendon is 0.0002 m2. If the…

A: See below

Q: A solid copper cube has an edge length of 82.4 cm. How much stress must be applied to the cube to…

A: Given data-          length of the side(L) = 0.824 m         reduced side (L1 ) = 0.82 m…

Q: 13. A 4.50-kg child is swinging on a swing. If she is released from rest at a point 1.45 m above the…

A:

Q: A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given…

A: Given that,    Radius of wire, r=2 mm=2×10-3 m,    Weight of load, m=4 kg,  g=3.1π ms-2

Q: A 1.05-m-long rod of negligible weight is supported at its ends by wires A and B of equal length…

A: This question involves two concepts: (A) Free body diagram and subsequent condition for the static…

Q: A 90 kg construction worker stands 2.0 m from the right end of a 6.0 m long, 600 kg steel beam as…

A: First we find the tension in the cable . The forces acting are shown below: where m1 is the mass of…

Q: A large 75-kg lighting fixture can be hung from wires of identical size and shape made of aluminum,…

A: Given: The mass is 75 kg. The Young's modulus of aluminum is 0.70x1011 Pa. The Young's modulus of…

Q: The plot of tensile stress vs tensile strain of a certain rod has a slope of 23-GPa in the elastic…

A: Given data:  Slope of tensile stress vs tensile strain graph = 23 GPa Tensile strain (ε) =…

Q: 2.00-m-long, 1.00-mm-diameter wire is suspended from the ceiling. Hanging a 4.50 kg mass from the…

A:

Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm2 stretches by 0.196 cm when a tensile…

A: The given values are, L=10.2 mA=0.126 cm2=0.126×10-4 m2∆L=0.196 cm=0.196×10-2 mF=6250 N

Q: A wire has 20 x 10^10 N/msquared young modulus. Its diameter is 1mm that can handle a tension of 0.2…

A: Given data- young modulus= 20×1010 N/m2 1mm diameter can handle a tension of 0.2 kN.

Q: A weight of (50kg) affects the lower end of a steel rod of length (80cm) and diameter (0.60cm). What…

A: Given: The mass of the weight is 50 kg. The length of the rod is 80 cm. The diameter of the rod is…

Q: Biceps muscle. A relaxed biceps muscle requires a force of 25.0 N for an elongation of 3.0 cm; under…

A:

Q: The bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

A: bulk modulus of a material is 5.62 × 1011 N/m2. What fractional change in volume does a piece of…

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

A: Initial length of the nylon string Lo = 50 m  Change in length of the nylon string ∆L = 1 cm =>…

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).