A plank 2.00 cm thick and 15.0 cm wide is firmly attached to the railing of a ship by clamps so that the rest of the board extends 2.00 m horizontally over the sea below. A man of mass 80.0 kg is forced to stand on the very end. If the end of the board drops by 5.00 cm because of the man’s weight, find the shear modulus of the wood.

Q: A wire having Young's modulus 1.2 × 10¹1 N/m² is subjected to the stress of 2.4 × 10¹ N/m². If the…

A: Given :- Young's modulus Y =  1.2*1011 N/m2 stress  σ = 2.4 × 107 N/m².  length l = 10m

Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A: NOTE: As per bartleby guidelines we can answer only first question. For remaining questions please…

Q: a wire of radius 0.2 x 10^-3 m is suspended from the ceiling.When a weight (force) of 5.0N is…

A: Given, Weight (force) hanging,F=5 N Radius of wire, r=0.2×10-3m

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

A: Youngs modulus=FL/AΔL

Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A:

Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

A:

Q: A shear force of 350 N is applied to one face of an aluminum cube with sides of 30 cm while the…

A: Given :            Force F = 350N            Side   S = 30cm =0.3m            The shear modulus for…

Q: A steel wire of length 2.08 m with circular cross section must stretch no more than 0.200 cm when a…

A: Given data, Force F=380 N Length L0=2.08 m Young's modulus Y=2×1011 Pa Change in length ∆L=0.2×10-2…

Q: A uniform metal bar, one metre long, is placed symmetrically on two knife-edges separated by a…

A: We can use the formula for the deflection of a uniformly loaded beam supported at its ends: δ =…

Q: rts a load of 4.5  1

A: Given: Length L = 4.0 m Area A= 7.5 10-3 m2  Force F = 4.5 104 N Young's modulus for steel  Y = 210…

Q: A string on a tennis racket is under the tension of 25 N. If its diameter is 3.3 mm, by how much is…

A:

Q: An aluminum specimen 15 in long and in in diameter is subjected to tensile stress. The new length of…

A:

Q: A leg has 1.4 m shaft of bone with an average cross sectional area of 3x10-4 m². What is the amount…

A:

Q: A 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: Given F=557 N L=66m A=2.8 mm2 Y=1.0x10^11 N/m2

Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A: Given data *The frictional force acting on each foot is F = 20.0 N *The area of each shoe's sole is…

Q: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

A: Write the expression for young’s modulus of the material.

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm2. By how much (in…

A:

Q: A brass bolt is used to connect two brass plates together. The bolt must withstand shear forces up…

A: Given: Force is 3310 N Safety factor is 5

Q: To compress a liquid by 10 % of its original volume, the pressure required is 2 x 105 N/m². The bulk…

A: We are aware that K is the necessary pressure to compress a liquid by 10% of its initial volume.We…

Q: As an oil well is drilled, each new section of drill pipe supports its own weight and that of the…

A: the total weight of the pipe is F=weight of the pipe+weight of the drill bit=m'L0+l+mg=23kg/m3000…

Q: water has a bulk modulus of 2.2 x 109 n/m2. Suppose water at an atmospheric pressure has a density…

A: The bulk modulus of water is The density of the water at atmospheric pressure is The depth of the…

Q: A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is…

A:

Q: The right end of a horizontal beam of mass 4kg and length 3.3m is fixed to a wall by a hinge. The…

A: This is a problem regarding the equilibrium of forces and torques. The figure for the problem can be…

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: Assume Young's modulus of a femure bone of an effective diameter 2.5 cm is 1.5 x1010 N/m2. The bone…

A: Given: A femur bone of an effective diameter 2.5 cm and it's Young's modulus = 1.5 × 1010 N/m2.…

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: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A:

Q: A 15.9 cm long tendon is found to stretch 3.81 mm when a force of 18.0 N is applied to it. If the…

A: The length of the tendon is l = 15.9 cm. The force applied on the tendon is F = 18.0 N. The average…

Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A:

Q: A copper wire of length 23.179 is designed to withstand a maximum tension of 657 N and 0.627%…

A: Given  Length of copper wire  L = 23.179 m Tension  T = 657 N Strain  ∆L/L × 100 = 0.627 %  ∆L/L =…

Q: A steel ring of radius r and cross-section area A is shifted on to. a wooden disc of radius R (R >>…

A:

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: One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

A: We need to calculate the elongation of the rod when the given force is applied.

Q: A wire having young's modulus 1.2 x 1011 N/m2 is subjected to the stress of 2.4 x 107 N/m2. If the…

A: Given data : Young's modulus (Y)=1.2×1011 N/m2                     Tensile stress Mgπr2=2.4×107 N/m2…

Q: A circular steel wire 2.4m long must stretch no more than 0.24cm when a tensile force of 420 N is…

A:

Q: A metal rod that is 3.10 m long and 0.48 cm2 in cross-sectional area is found to stretch 0.19 cm…

A: Length of the rod L= 3.10 mCross sectional area of the rod A=0.48cm2= 0.000048 m2Tension in rod…

Q: Find the diameter of a 17m (L) long steel wire that will stretch no more than 0.009m (AL) when a…

A:

Q: hree point charges are arranged as shown in the figure below. Find the magnitude and direction of…

A:

Q: An aluminum wire of length 4.3 m and diameter 2.5 mm is connected to a steel wire of length 3.1 m…

A: The change in length for aluminum is, ∆lAl=FlAYAl          =49.84.3π2.5×10-3227×1010…

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm. By how much (in…

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).