1. Assume Young’s modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50 x 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm?

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: 3. A copper wire is 1.0 m long and its diameter is 1.0 mm (Young's modulus for Cu, Ycu = 11 x 1010…

A:

Q: Humans can bite with a force of approximately 798 N. If a human tooth has the Young's modulus of…

A: Given:- a cross-sectional area A = 1.2 cm2                          length L = 1.5 cm…

Q: Humans can bite with a force of approximately 809 N. If a human tooth has the Young's modulus of…

A: The Young's modulus of bone is 18×109 Pa. the change in length is, ∆l=FlAY

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 67874…

A: Remember that Young's modulus is given by: Y = Stress/Strain Where Stress is given by: Stress =…

Q: A heavy crate with weight 4900 N hangs from a thick nylon rope. The rope has a cross-sectional area…

A: Solution: Given that Weight W = 4900 N Area A = 1.4x10-4 m2 youngs modulus E =3.7x109 N/m2

Q: Question 11 For keeping the stress wholly compressive the load may be applied on a circular column…

A: For keeping the stress wholly compressive the load may be applied on a circular column anywhere…

Q: Humans can bite with a force of approximately 796 N. If a human tooth has the Young's modulus of…

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than a= 15086…

A: Given, Young's modulus = Stress =  Radius = 0.01 m

Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.4 cm in diameter.…

A: In the question given the length of rope , diameter of rope , mass and change in the length and we…

Q: 3. The bone breaks if stress greater than 1.50 x 10° N/m² is imposed on it. (a) What is the maximum…

A:

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: Humans can bite with a force of approximately 791 N. If a human tooth has the Young's modulus of…

A: The change in the tooth's lenght is 7.23×10-6 m.

Q: 2. A steel wire having cross-sectional area 1 mm' is stretched by 10 N. Find the lateral strain…

A:

Q: A copper wire of length 8.7 m , cross sectional area 1.3 x 10-6m2and Young’s modulus 11 x 1010 N/m2…

A:

Q: Humans can bite with a force of approximately 793 N. If a human tooth has the Young's modulus of…

A:

Q: A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: Given F=557 N L=66m A=2.8 mm2 Y=1.0x10^11 N/m2

Q: 2. A steel wire having cross-sectional area 1 mm² is stretched by 10 N. Find the lateral strain…

A: Given: The area of the wire is 1 mm2. The applied force is 10 N. Young's modulus is 2x1011 N/m2. The…

Q: The bone breaks if stress greater than 1.50 x 10 8 N/m2 is imposed on it. (a) What is the maximum…

A:

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

A: According to question--- We have to find--- length = 2m. diameter = 1mm. mass = 4.5 kg. g = 10 m/…

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

A:

Q: Q20 A plastic dowel has a Young's Modulus of 1.50 ✕ 1010 N/m2. Assume the dowel will break if more…

A: Given  Young's modulus Y=1.5×1010 N/m2 maximum stress Emax=1.5×108 N/m2 Diameter d=2.30cm Radius…

Q: A 20.0-m tall hollow aluminum flagpole is equivalent in strength to a solid cylinder 4.00 cm in…

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Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 99260…

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 79104…

A: maximum stress= sigma= 79104 N/m2

Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

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: 4. A 4.0m-long steel wire has a cross-sectional area of 0.050 cm². It's breaking stress has a value…

A: Area=0.050cm² stress has a value of 0.0065 times its Young's Modulus young modulus for steel: 20*…

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

A: It is given that the woman’s weight is spread out evenly over both soles of her shoes so that force…

Q: Humans can bite with a force of approximately 792 N. If a human tooth has the Young's modulus of…

A: Force exerted (F) = 792 N Cross sectional area (A) = 1.3 cm2= 0.00013 m2Length of bone (L) = 1.7cm =…

Q: Humans can bite with a force of approximately 795 N. If a human tooth has the Young's modulus of…

A: Young's modulus is defined as the ability of a material to withstand the change in length due to…

Q: Humans can bite with a force of approximately 807 N. If a human tooth has the Young's modulus of…

A: The equation for Young's modulus is given by, Y=σe  (1) Here, σ is the stress and e is the strain.…

Q: A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the…

A:

Q: Assume if the shear stress in steel exceeds about 4.00  108 N/m2 the steel ruptures. (a) Determine…

A: The shear stress in steel is, S=4.0×108 N/m2   The diameter of the steel bolt is, D=0.95 cm   The…

Q: The bone breaks if stress greater than 1.50 x 10⁸ N/m2 is imposed on it. (a) What is the maximum…

A: (a) Allowable stress for bone: σ=1.50×108 N/m2 Diameter of bone: d=5.87 cm=0.0587 m Expression of…

Q: Assume Young’s modulus for bone is 1.40×1010 N/m2 . The bone breaks if stress greater than 1.50 ×…

A:

Q: Calculate the force a piano tuner applies to stretch a steel piano wire 8.40 mm, if the wire is…

A: change in length (∆L) = 8.40 mm diameter of wire (d) = 0.800 mm Length (L) = 1.35 m Young's modulus…

Q: Humans can bite with a force of approximately 809 N. If a human tooth has the Young's modulus of…

A: Let the force applied by the human’s tooth be F, the length of the tooth be L, the area of…

Q: A steel rod 2,0-m long has a cross-sectional area of 0,30 cm?. It is hung by one end from a support,…

A: Given, Length of steel rod = 2.0 m Area = 0.30 cm2 Mass = 550 kg ESteel=20.0×1010 Pa

Q: What hanging mass will stretch a 2.2-m-long, 0.34 mm - diameter steel wire by 1.2 mm? The Young's…

A:

Q: An 80-cm-long, 1.0-mm-diameter steel guitar string must be tightened to a tension of 2.0 x 103 N by…

A: Given:- L= Length = 80 cm = 0.8 m r= radius of cross section=. d/2 = 1/2 = 0.5 mm = 0.5×10^-3 m Y=…

Q: Assume Young's modulus for bone is 1.50 x 100 N/m². The bone breaks if stress greater than d= 40607…

A: Young modulus, Y=1.50× 1010 N/m2 Maximum stress, σ=40607 N/m2 Radius, r = 0.01 m

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).