Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a load of (70 kg) is suspended from its lower end. Assume that the Young modulus .equals to 3.51*10° N/m?

Q: By what amount does the nylon stretch?

A:

Q: One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A: solution as .

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:

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

A:

Q: A large uniform cylindrical steel rod of density ρ = 7.8 g/cm3 is 2.0 m long and has a diameter of…

A:

Q: A 200.- kg load is hung on a wire of length 4.00 m, crosssectional area 0.200 x 10-4 m2, and Young’s…

A: Write the expression for the increase in length.

Q: Normal forces of magnitude 1.0 × 106 N are applied uniformly to a spherical surface enclosing a…

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:

Q: A copper wire of length 7.9 m, cross sectional area 2 x 10 m²and Young's modulus 11 x 1010 N/m has a…

A:

Q: A cylindrical aluminum rod, with an initial length of 0.8769 m and radius 996.0 µm, is clamped in…

A: Given initial length of cylindrical aluminum rod Li = 0.8769 m initial radius of cylindrical…

Q: A metal wire 1.0 mm in diameter and 2.0 m long hangs vertically with a 6 kg mass suspended from it.…

A:

Q: A wire of uniform cross sectional area of 0.25 mm2 is stretched at both ends by a total force of 65…

A: Given data The cross-sectional area is given as Ac = 0.25 mm2. The total force at both ends is…

Q: A horizontal aluminum rod 4.8 cm in diameter projects 5.3 cm from a wall.A 1200 kg object is…

A:

Q: A tangential force of 0.004 KN affected the upper surface of a rectangle 5 mm high, 3 cm long and 5…

A: Given Dimensions, l=3 cm= 3×10-2mw=5 cm=5×10-2mh=5mm=5×10-3m Tangential force, F=0.004 KN= 4N…

Q: A 15 cm long animal tendon ( وتر ) was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given: length of animal   lo=15 cm =150 mm            force F=13.4 N            Diameter=D =…

Q: A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 x 10-4 m2, and Young's…

A: Given Data: Mass,   Wire length,   Cross-sectional area,   Young’s modulus,   Standard Data Used:…

Q: A force of 25ON is applied to a steel wire of length 1.5m and diameter 0.60 mm. Calculate the…

A: Given Force F = 250 N Length L = 1.5 m Diameter = 0.6 mm Radius r = 0.6/2 = 0.3 mm = 0.3 × 10-3 m

Q: The maximum upward acceleration of a lift of total mass 2500 kg is 0.5 ms, The lift is supported by…

A: Answer             2.575 X 10-4m2

Q: The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150…

A:

Q: A solid steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure…

A:

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

A:

Q: A copper wire of length 7.9 m , cross sectional area 2 x 10-m²and Young's modulus 11 x 1010 N/m² has…

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: 'One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

A:

Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What…

A: Given, Diameter of the metal bar, d = 6.0 mm = 6.0 × 10–3 mRadius, r = d/2 = 2.5 × 10-3 m Maximum…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Shear modulus of the material is, η=FLAx=FLL2x=FLx

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: A 200-kg load is hung on a wire having a length of 4.00 m, cross-sectional area 0.200 x 10-4 m2, and…

A: Load = 200 kg Length of wire (L) = 4 m Weight of load = 200×9.8= 1960 NArea = 2×10-5 m2Young's…

Q: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

A: Given data: The stress in thread is σ=1×109 Pa. The diameter of thread is d=1.00 mm.

Q: A steel wire of length 1.97 m with circular cross section must stretch no more than 0.240 cm when a…

A:

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 =>…

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

A: Given: Area of cross section A of the steel girder is 0.15 m2. Mass M hanging at the end is of 1550…

Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

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

A:

Q: A man with a mass of 71.6 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: Given: The mass of the man: m = 71.6 kg; The cross-sectional area of his femur: A = 8.00 cm2 = 8.00…

Q: Young's modulus of iron rod is 21 x 1010 N/m². A force of 7.0 × 105 N is applied to a 1.5-m length…

A:

Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross-sectional area of 1.0 x…

A:

Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm, and length 248 mm…

A: Tensile load(T)= 50 KN Elongation (e)= 0.25 mm = 2.5× 10-⁴ m Length of the rod(L)= 248 mm= 0.248 m…

Q: Find the mass of the picture hanging from a steel nail as shown, given that the nail bends only 1.80…

A: The force applied perpendicular to the L0 and parallel to the cross sectional area A can be…

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

A: The young's modulus of the material is a fundamental property that depends upon the temperature and…

Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.01 ✕ 10−3 m2 is used to suspend a 3.80…

A: Given data:  Length (L) = 22.0 m Cross sectional area (A) = 2.01 × 10-3 m2 Mass (m) = 3.80 × 103 kg…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: shear modulus is given by, G =FlA∆xwhere, F=force acting on the body =2×106 dynes = 20 Nl =initial…

Q: The pole in the figure is a a 90° bend in a power line and is therefore subjected to more shear…

A: Tension in wires at top , T = 3.5 x 104 N Angle made by wire with the vertical , θ = 80° Height of…

Q: Find the elongation of a steel rod of 100 mm long when it is subjected to a tensile strain of 0.004?…

A: (b) 0.4 mm

Q: A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 × 10–4 m2, and Young’s…

A:

Q: A 16.3 cm long tendon is found to stretch 2.11 mm when a force of 18.8 N is applied to it. If the…

A: Given value--- initial length = 16.3 cm. change in length = 2.11 mm. Force = 18.8 N . diameter =…

Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 8.0 mm. What…

A: Diameter of each rivet,

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).