Spiderweb An orb weaver spider with a mass of 0.25 g hangs vertically by one of its threads. The thread has a Young's modulus of 4.6×109 N/m^2 and a radius of 8.4×10−6 mm . A. What is the fractional increase in the thread's length caused by the spider?  B. Suppose a 86 kg person hangs vertically from a nylon rope. What radius must the rope have if its fractional increase in length is to be the same as that of the spider's thread? Assume that Young's modulus for nylon is 0.37×10^10 N/m^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: Given data: Length of the rod, L=1.05 m Area of wire A, aA=2.37 mm2 Area of wire B, aB=3.85 mm2…

Q: Part A A 15.6-kg mass fastened to the end of a steel wire with an unstretched length of 0.600 m is…

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: A steel wire of length 2.08 m with circular cross section must stretch no more than 0.300 cm when a…

A: Write the formula for Young’s modulus.

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

A:

Q: Consider the effect of wires hung on poles in which the left wire made an angle 29° below the…

A: Given, Tension=114N

Q: 1. A hydraulic press contains 0.25 m³ of oil. Find the decrease in the volume of the oil when it is…

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

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: (b) When measuring Young's modulus of a material it is common to use a specimen which is (1) very…

A:

Q: 5. A helical steel spring is composed of 20 turns of 20 mm diameter wire on a mean radius of 80 mm…

A:

Q: (a) The “lead” in pencils is a graphite composition with a Young’s modulus of about 1×109 N/m2 .…

A: Given:  Young's modulus,Y = 1 x 109 N/m2  Force, F = 4 N  diameter,d = 0.5 mm  length,L= 60 mm

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

A:

Q: Humans can bite with a force of approximately 810 N. If a human tooth has the Young's modulus of…

A: SOlution: as given F = 810 N E = youngs modulus of bone= A = 1.5 cm2 = 1.5x10-4 m2 L = 1.5 cm =…

Q: You apply a force of magnitude F1 to one end of a wire and another force F in the opposite direction…

A: Newton's second law of motion relates the net force acting on the object to the acceleration…

Q: e stress and Young's modulus. Define the quantity which relates these terms. (b) When measuring…

A: When any material is under tension, the material gets stretched. The forces acting along the axis of…

Q: Problem 12:   Consider the effect of wires hung on poles in which the left wire made an angle 29°…

A:

Q: Consider a force of 750 N (roughly the weight of an adult human). Over what area (in cm2) would this…

A:

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

A: The change in the length of the wires can be given as, ΔL=PLAE From the above relation, it is…

Q: The “lead” in pencils is a graphite composition with a Young’s modulus of about 1×10^9 N/m2.…

A: Given: Young’s modulus (γ) = 1×109 N/m2. Diameter of lead (d) = 0.5 mm. Length of lead (l) = 60 mm.…

Q: I Review I Constants A solid gold bar is pulled up from the hold of the sunken RMS Titanic. ot 9 P…

A:

Q: Two plates with a thickness of 1 cm are joined by four bolts with a diameter d = 2 cm as shown in…

A: SOlution; Given that Ϯsafe=280 MPa ϭL =320 MPa  d =2 cm t = 1 cm

Q: (a) The “lead” in pencils is a graphite composition with a Young's modulus of about 1×109 N / m2 .…

A: a) Given: Young's modulus of lead pencils Y is 1×109 N/m2. Force acting on the pencil F is  4N.…

Q: A 1.3 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x…

A:

Q: a. A horizontal pipe narrows from a radius of 0.260 m to 0.130 m. If the speed of the water is 1.20…

A:

Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: GivenM= 68.3 kgA =8.00 cm2 =8.00 ×10-4 m2uncompressed length (L) = 50.4 cm = 50.4 × 10-2 mYoung's…

Q: A physics lab consists of a large ball attached to a wire. Students hold on to one end of the wire,…

A: Here given the wire of length 1.3 m and diameter 1mm. The young modulus is 20 × 10^10 N/m². The mass…

Q: Q9: A space of 20mm between two parallel plates is filled with castor oil at a temp of 38° C. One of…

A: The shear stress between the plates is given by τ=μvy

Q: 1. A 90-kg smooth circular cylinder A with a radius of 0.6 m is held in equilibrium by a cord CD and…

A: Length of bar LBC = 2.4m Mass of circular cylinder m = 90 kg Radius r = 0.6 m System is in…

Q: (a) The “lead” in pencils is a graphite composition with a Young’s modulus of about 1X10 N/m.…

A: formula of young's modulus is as follows; y=FL∆L·A…

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

A:

Q: Humans can bite with a force of approximately 808 N. If a human tooth has the Young's modulus of…

A: Using the equation for Young's Modulus, Y=FLA∆L∆L=FLAY

Q: 5. When water freezes, it expands by about 9.00%. What pressure increase would occur inside your…

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: Recall F/A=Y∆ll

Q: 2. The "lead" in pencils is a graphite composition with a Young's modulus of approximately 1.0 x 109…

A: Given, Young's modulus 'E' = 1 x 109 N/m2  Force applied 'F' = 4 N  diameter 'd' = 0.5 mm = 0.5 x…

Q: Q6: A stainless-steel orthodontic wire is applied to a tooth, as in Figure. The wire has an…

A:

Q: 1. a. A copper sphere has a radius of 2.50 m under normal room pressure of 1.0 × 105 N/m2. If we…

A: a) Determine the volume of the sphere.

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=…

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).