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 uniform lead bar (length L, cross-sectional area A, density p, and Young's modulus E) lies in a…

A:

Q: A hanging wire made of an alloy of iron with diameter 0.09 cm is initially 2.2 m long. When a 66 kg…

A:

Q: What is the maximum load that could be suspended from a copper wire of length 1.00 m and radius 1.08…

A:

Q: A1 (1.0) m long rod of cross-section 1.0x10 4 m2 is stretched by 537 um. What is the tensile stress…

A: Given, Length of rod,L=1 m Area of cross section,A=1×10-4m2 Change in length,∆L=537μm=5.37×10-4m…

Q: Q2 The structure shown in the following figure is made up of three blocks. No pin or other…

A:

Q: A three-legged wooden bar stool made out of solid Douglas fir (the Young's modulus is…

A: Step 1:Mass is 80kgDiameter is 20cm is 0.20mYoung modulus is 1×1010m2N​Step 2:The formula for the…

Q: Find the force required to stretch a 1.0 m steel wire of diameter 3.2 mm by 10.0 mm. Given the…

A:

Q: Part A In a materials testing laboratory, a metal wire made from a new alloy is found to break when…

A:

Q: Q5) What gauge pressure (in 10 Pa) must a machine produce in order to suck mud of density 1600 kg/m³…

A:

Q: 5. The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given Maximum Pressure Pmax = 2.0 x 108 Pa Mass m = 200 kg Diameter D = 0.50 cm = 0.50 x 10-2 m

Q: Consider a steel rod with radius r and length L subjected to a constant tensile force T. If the…

A: Given,  a steel rod with radius r and length L subjected to a constant tensile force T.  We know…

Q: Consider a cylindrical cable with a hanging weight suspended from it. a. When the mass is removed,…

A: Given that, Mass m=55 kgThe length of the cable when mass is removed is l0=4.78 mThe length of the…

Q: 37. .. BIO Spiderweb An orb weaver spider with a mass of 0.26 g hangs vertically by one of its…

A: Young's modulus:The Young's modulus of a material can be defined as the ratio of the tensile stress…

Q: 0.3 m /TM 10 kg 0.3 m /TM 5 kg

A: Given data m1=5 kgm2=10 kgA=0.05 m2Y=1.1×1011 N/m2 When a weight is suspended through a wire a…

Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m²) that is…

A: The objective of the question is to find out how much the steel cable has stretched when the car…

Q: A metal wire 1.3 mm in diameter and 2.5 m long hangs vertically with a 5.1-kg object suspended from…

A: Young's modulus is a measure of the ability of a material to withstand changes in length when under…

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: Q2: A conveyor beam has the cross section shown below and it is subjected to a be moment. Determine…

A: Solution:-       Given data;                      Area (1) =25×150=3750 mm2…

Q: What is the proportional limit? O None of these answers O 37,540 psi O 30,000 psi

A: Proportional limit is the the maximum stress for which graph is linear 40,000 psi

Q: Determine the maximum shear stress in the d-mm-diameter shaft. The shaft is fixed to support A but…

A: In this question answer is given below. It is helpful for you ?

Q: A violin string has a radius of 4.1 x 104m. During tuning, 32.5 cm of the string is placed under a…

A: Given Initial lenth of string is 32.5 cm Elongation of lenth is 0.93 cm Assume elongation in elastic…

Q: The head of a grass string trimmer has 100 g of cord wound in a light, cylindrical spool with inside…

A: Moment of Intertia The moment of inertia of a body about an axis is given as the sum of the product…

Q: A metal wire 1.4 mm in diameter and 2.5 m long hangs vertically with a 5.3-kg object suspended from…

A: The diameter of the metal wire,

Q: Danielle exerts a 14.0 N force to compress a spring by a distance of 8.00 cm. What is the spring…

A:

Q: Determine the center of gravity of the plate of uniform thickness t = 0.1m which has a circular…

A:

Q: A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by…

A: Given:      mass, m  = 45 kg     diameter, d = 30 cm ⇒ radius, r = 15cm = 15 x 10-2 m      length, L…

Q: A hollow steel shaft with an outside diameter of 75 mm and a wall thickness of 5 mm is subjected to…

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: A string, having a diameter of 1 mm and density of 16.0 x 103 kg/m3, is fixed at one end. Its other…

A:

Q: A specimen with cylindrical shape was subjected to tensile test. Please plot the stress vs. strain…

A: We know, Stress= Weight/ Area Strain = Change in length/ (Original Length) Young Modulus = Stress/…

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

A:

Q: A spider of mass 6.6 x 10-4 kg hangs from a 71.2 cm long thread whose diameter is 2.0 x 10-3 mm.…

A:

Q: Question 2 Calculate the torque in each section and the maximum shear stress in the shaft EH (Figure…

A: Torsion equation of shaft, TJ=τR Where J is polar inertia. τ=Td2πd432τ=16Tπd3   For EF, d=23×10-3m…

Q: Problem A solid uniform ball with mass m and diameter d is supported against a vertical frictionless…

A: Given : Mass of ball m Diameter of the ball d Length of wire L

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

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

Q: A wire stretches from 2000 mm to 2005 mm when a 500-N box hangs from one end of it. The wire has a…

A: Original length of wire (L) = 2000 mm = 2 m New length of wire (L') = 2005 mm= 2.005 m Force (F) =…

Q: A metal wire of diameter 1.00 mm can support a tension of 0.290 kN. A construction worker needs a…

A: Expression for young's modulus is Y=FA∆LLRearrangeA=FLY∆LπD24=FLY∆LD2=4FLYπ∆L Taking ratio…

Q: 2. A Torque of magnitude T = 900 N.m is applied at D as shown. Knowing that the diameter of shaft AB…

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).