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…

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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…

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

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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: 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: 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: 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 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: 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…

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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…

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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 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.…

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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…

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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).