A wire is 4.00 m long and has a diameter of 0.40 cm. When a 100 kg mass is suspended from the wire, the wire is stretched by 6.00 mm. If the load is pulled down a small additional distance and released, find the frequency at which it vibrates. Compute Young's modulus for the wire.

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: The bulk modulus of polystyrene is 3.43 GPa. Calculate the hydrostatic pressure (stress) needed for…

A: Bulk modulus of polystyrene B = 3.43 GPa = 3.43×109 Pa The fractional  change in volume  is  Where…

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: A steel wire of diameter 1 mm can support a tension of 0.2 kN. Determine the diameter of a steel…

A:

Q: You have a 15 cm^3 block of copper that you wish to make into a cylindrical wire. If the Young's…

A: stiffness of wire is given by, k=A ELwhere V=ALA=VLNow,k=VEL2

Q: A wire of 2.0000 m length and 1.0 mm diameter is suspended from the ceiling. Hanging a 4.500 kg…

A: Original length L = 2.0000 m  Diameter of wire d = 1.0 mm  Radius of wire r = d/2 = 1.0 / 2 mm = 0.5…

Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

A:

Q: What is the pressure required to reduce the volume of a brass block by 10%?[Given the Bulk Modulus…

A: To solve the question we will use the formula: Bulk modulus, k=PdVV

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

A:

Q: A 686 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10 m, and Young's…

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

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

Q: A wire of uniform cross sectional area of 0.15 mm2 is stretched at both ends by a total force of 40…

A: Given, Area of cross section of the wire A = 0.15 mm2 Total force acting on the both end F = 40 N…

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: What is maximum diameter of brass rod if it has to support a 400N load without exceeding its elastic…

A: Let Y be the stress on the brass rod, F be the load, A be the cross-sectional area, and D be the…

Q: A 215-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000*10-5 m2, and Young's…

A: Given data: Mass (m) =215-kg Length (L) = 3.30 m cross-sectional area (A) =2.000*10-5 m2 Young's…

Q: 60kg motor sits on four cylindrical rubber blocks. Each cylinder has a height of 3.0 cm and a…

A:

Q: A 210-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.00 x 10-5 m2, and…

A: mass of load (m) =210 kg initial length of Wire (L0) = 3.3 m Cross sectional area of Wire (A) = 2.0…

Q: A cylindrical specimen of a titanium alloy having an elastic modulus of 108 GPa and an original…

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: A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 *…

A: Given, Initial volume, V0=600 cm3, pressure increase, ∆P=3.6×106 Pa, and volume decrease, ∆V=0.45…

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 copper wire of length 3 m and 1 mm diameter is subjected to a tension of 5 N. Calculate the…

A: Length = 3 m diameter = 1mm radius = 0.5 mm tension = 5 N Young's modulus of copper = 11×1010 Pa

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: 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 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: An oil specimen has an initial volume of 597 cm³ and is subjected to 3.6 MPa pressure increase. The…

A: Initial volume V=597 cm3 Rise in volume △V=0.35 cm3 Rise in pressure △P=3.6 MPa=3.6×106 Pa To find:…

Q: steel wire of length 1.93 m with a circular cross-section must stretch no more than 0.240 cm when a…

A: Dear student The Young modulus is defined as: Y = Stress/ Strain Here stress = Force / Area Strain =…

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 469 kg load is hung on a wire of length 6 m, cross- sectional area 0.200 x 10¬ 4 m², and Young's…

A: Given : m = 469 kg L = 6 m A = 0.200 × 10-4 m2 Y = 8 × 1010 N/m2

Q: A wire of 0.5 mm cross-section diameter nd 120 cm length is suspended vertically. What is the…

A: Write the given value of this problem: Diameter of wire(d)=0.5 mm or 0.5×10-3mLength of wire(L)=120…

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: Given : radius, r= 2 m  Pressure, P = 15 MN/m2 = 15 × 106 N/m2  Bulk modulus, B=1.6×1011 N/m2  Find…

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

A: Let the Bulk modulus of oil is given by B. Let the change in pressure is given by ∆p. Let the change…

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 face of an aluminum plate, which is fixed in place, measures 90 cm by 90 cm. The thickness of…

A:

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 body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional…

A:

Q: A copper wire of length 3-m and 1-mm diameter is subjected to a tension of 5-N. Calculate the…

A: Given: The length of the wire is 3 m. The diameter of the wire is 1 mm. The tenson in the wire is 5…

Q: A solid copper cube has an edge length of 85.3 cm. Ho w much st The bulk modulus of copper is 1.4x…

A: givenLi=85.3 cmLf=85 cmK=1.4×1011 N/m2

Q: Four metal rods with equal cross-sectional areas were subjected to a tensile test. Given Young's…

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).