A three-legged wooden bar stool made out of solid Douglas fir has legs that are 2.0 cm in diameter. When a 75 kg man sits on the stool, by what percent does the length of the legs decrease? Assume, for simplicity, that the stool’s legs are vertical and that each bears the same load.

Q: A horizontal aluminum rod 5.0 cm in diameter projects 4.8 cm from a wall. A 1400 kg object is…

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: Assume the breaking stress of a bone is 1.30 x 107 N/m2, the magnitude of the maximum force a…

A: Given Breaking stress of a bone =1.30x107Nm2 Average diameter of bone =d= 3cm Area of bone=πd24…

Q: A metal wire of diameter D stretches by 0.100 mm when supporting a weight W. If the same-length wire…

A: Given: Initial diameter of metal wire, D1=D Weight supported to metal wire initially, W1=W The…

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

A:

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

A: Given: s=2.0*108 Pad = 0.5 cm = 0.005 mM = 200 Kg

Q: Tweedledum and Tweedledee are carrying a uniform wooden board that is L = 3.00 m long and has a…

A: W = 160N  L = 3 m  F1 = 60 N

Q: After a fall, a 95 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A: Given:  mass, m = 95 kg  length of rope, L = 15 m  diameter of rope , d = 9.6 mm  extension in…

Q: The safe load, L, of a wooden beam of width w, height h, and length l, supported at both ends,…

A: Solution: The load L the beam can support = 5930 pounds the safe load of beam varies directly as the…

Q: A 5 N uniform wooden plank is supported by two posts that are 1.2 m apart. A 4 N load is hung 0.3 m…

A:

Q: A 3800N load is hung on the end of an 18-m steel wire. What must be its diameter so that the stretch…

A: Given: The load is 3800 N. The length of the wire is 18 m. The elongation in the wire is 9 mm.…

Q: A man with a mass of 70.5 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm and…

A: mass of man (m) = 70.5 kg weight (w) = m×g = 70.5×9.8= 690.9 N Cross sectional area of femur (A) = 8…

Q: After a fall, a 71 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A:

Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A: To find minimum diameter for each rod use the formula of normal stress and put the values to solve .…

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: After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

A: mass of rock climber (m) = 100 kg Length (L) = 13 m diameter = 9.5 mm amount of stretch in the rope…

Q: A circular shaft has a diameter d [m] that varies with axial position x [m] according to d =…

A:

Q: beam with a solid homogeneous rectangular section is simply supported at A and B. concentrated load…

A: Given B = 35 mm  D = 125 mm  Moment of inertia of rectangle = bd3/12   Hence required solution is…

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

A:

Q: Suppose a person’s femoral diaphysis is idealized as a circular cylinder with a periosteal diameter…

A:

Q: Determine the load in member AB of the pin-connected truss 3m 3m 1 m 4 m 2m A 81 B 15 68 KN E www

A: given   the load in member AB of the pin-connected truss  is

Q: a diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a…

A:

Q: After a fall, a 89 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

A:

Q: A cylindrical aluminum rod, with an initial length of 0.8000 m and radius 1000.0 mm, is clamped in…

A: The density is constant in the given case thus expression will be,

Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

Q: Show transcribed image text For safety in climbing, a mountaineer uses a nylon rope that is 51m long…

A: Length, L = 51 m  elongation, l = 2.1 m mass, m = 110 kg diameter, d = 1.1 cm

Q: After a fall, a 75 kg rock climber finds himself dangling from the end of a rope that had been 14 m…

A:

Q: Consider two steel rods, A and B. B has three times the area and twice the length of A, so Young's…

A: We know that Young's modulus is property of matter and not depend on size . Here, both rods are made…

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 vertical, solid steel post 25 cm in diameter and 2.50 m long is required to support a load of 8000…

A: solution as

Q: Four cylindrical rods are stretched. The force magnitudes, the cross sectional area, the initial…

A: Given, We know the expression for young modulus is  Y=FA(L0∆L)

Q: For safety in climbing, a mountaineer uses a nylon rope that is 65 m long and 1.5 cm in diameter.…

A: Given Length of nylon rope  L = 65 m Diameter of rope  d = 1.5 cm Mass of climber m = 86 kg…

Q: A 5.15-N beam of uniform density is 1.70

A: Use the concept of rotational equilibrium and trigonometric identities to find the angle made by the…

Q: A uniform brass plate with area of 18 x 18 m², has mass of 3 kg which is hold by three cables in the…

A: Given :- area = 18 * 18 m2 mass of brass plate = 3kg

Q: The five-bolt connection shown in the figure must support an applied load of P = 270 kN. If the…

A: Stress is defined as the force experienced by the object in unit area which causes change or…

Q: Consider a square-faced beam supporting a section of a building. a)  Before installation, the length…

A:

Q: A man with a mass of 75.2 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm^2…

A: Given data: mass (m) = 75.2 kg cross-sectional area (A) = 8 cm2 uncompressed length (L) = 50.5 cm…

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

A:

Q: How much force is required to punch a hole in a peice of paper. Let the paper have a thickeness 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:

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,

Q: A plank 2.00 cm thick and 14.7 cm wide is firmly attached to the railing of a ship by clamps so that…

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:

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).