A steel cable 1.70 m in length and with cross-sectional radius 0.380 mm is used to suspend from the ceiling a 20.0-kg model aircraft that is flying in a horizontal circle with an angular speed of 6.50 rad/s. What is the strain produced in the cable? [Young's modulus of steel = 2.0×1011 N/m2]

Q: A cable is 100 m long, has a cross-sectional area of 1.0 mm2, and is made of a material having a…

A: Scenario - A block is hanging from end of a cable. It causes the cable to stretch due to its weight.…

Q: A 61 cm long copper wire is clamped at one end and a stone weighing 2.2 kg is attached to the other…

A:

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

A:

Q: A 20 g rectangle block of aluminium is 35 cm by  45 cm by 15 cm when unstressed. A force is applied…

A: Given information: The mass of the rectangle aluminum block (m) = 20 g = 0.02 kg The dimensions of…

Q: A 1.6 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.2 x…

A: Yyty

Q: The material for the 58-mm-long specimen has the stress–strain diagram shown. A) If P = 150 kN is…

A:

Q: A 509-N object is hung from the end of a wire of cross-sectional area 0.03 cm-. The wire stretches…

A: given, weight of the object, I = 509 N Cross sectional cores of wire, A = 0.03 m² = 0.03 (10^-2 m)^2…

Q: A 5.0m long steel wire has a cross-sectional area of 0.55cm2 . Its proportional limit has a value of…

A: Given, Length = 5.0 m Area = 0.55 cm2

Q: A 0.800 m-long metal wire has a circular cross section of diameter 0.900 mm. One end of the wire is…

A: Given that, Length of the wire(L)= 0.8 m Diameter (d)= 0.9× 10-³ m So, radius (r)= (0.9×10-³)/2=…

Q: A bar with a uniform cross-sectional area of 300 mm² is subjected to axial loads, as shown in the…

A: Correct option (b) 140 Mpa

Q: A 1.4 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.5 x…

A:

Q: An 11.0-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A:

Q: A metal slab of side (74+ 75) cm and thickness (74 + 25) cm is subjected to a tangential force of…

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 solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to…

A: Write the given values with the suitable variables. L1=86.9 cmL2=86 cmk=1.4×1011 N/m2 Here, L2, L1,…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

A: Stress for material is given as = 260* 10 6 N/M2 Here ∈ = 0.0070 So strain = 2∈ = 2…

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 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

A: Write the expression for young’s modulus.

Q: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

A:

Q: A solid copper cube has an edge length of 85.9 cm. How much stress must be applied to the cube to…

A: Given: length of cube l = 85.9 cmfinal length =86cmchange in length ∆l = 86-85.9 = 0.1 cmBulk…

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

A:

Q: What is the load should be placed on a wire of diameter 2 mm so that the permitted strain does not…

A: Given data: Strain =1/1000=10-3. Modulus of elasticity Y=35×1010 N/m2. Diameter of the wire d=2mm

Q: An 11.2-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A:

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

A: Given: Length of each beam, L=4 m Area of cross-section,A=7.5×10-3 m2 Load, W=4.5×104 N Young's…

Q: A 1.3 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.4 x…

A:

Q: Consider a steel bolt as a cylinder with a diameter of 3.41 cm and length of 13.8 cm. A shear or…

A: diameter of 3.41 cm  length of 13.8 cm shear stress of 313 MN/m ² shear Modulus Ssteel =G= 8.4×…

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 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: Q4. When a tensile load (F) is applied to a solid homogeneous rod, the rod undergoes a change in…

A: Write the basic expressions related to stress and strain. Here, σ represents the stress, A…

Q: A person has 100 kg mass is suspended by his arms on a metallic bar. Determine the strain of the…

A: Given: Introduction: The young's modulus (Y) for a body is the measure of its strength. It is…

Q: Q2.8/ If the tensile stresses generated in a copper rod after the influence of external forces (ot…

A: Given data: The tensile stress in the material is σt=2158.2104 N/m2. The longitudinal strain is…

Q: Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. If…

A: Given Data: The angle is, θ=0.5o. The length AC is, AC=600 mm The length BC is, BC = 800 mm.…

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

A:

Q: A rope of length 40.0 meters and 5.0 mm in diameter elongates by 1.0 meters when supporting a 50.0…

A: Given data:  Original Length (L) = 40.0 m Diameter (d) = 5.0 mm = 5.0 × 10-3 m Elongation in length…

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: Given:The mass of man, m = 68.3 kgThe area of femur, A = 8 cm2 = 8×10-4 m2The length which is…

Q: A horizontal aluminum rod 3.4 cm in diameter projects 7.0 cm from a wall. A 810 kg object is…

A: Answer:- Given  Shear modulus (G) = 3 × 1010 N/m2  Length (L) = 7 cm =7× 10-2 m  Diameter of rod (d)…

Q: What does the stress in a composite beam depend on? O the modulus of elasticity of both materials…

A: The stress in a composite beam is given by   where I1 and I2 are the moments of inertia about the…

Q: A marble column with a cross-sectional area of 25.2 cm2 supports a load of 7.0 × 104 N. The marble…

A:

Q: A marble column of cross-sectional area 0.80 m2 supports a mass of 18000 kg. The elastic modulus for…

A:

Q: A 1.6 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.3 x…

A:

Q: After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 14 m…

A: GivenMass of rock climber, m=100 kgOrignal Length of rope, L=14 mDiameter of rope, D=10 mm=10×10-3…

Q: A sign (mass 2300 kg) hangs from the end of a vertical steel girder with a cross-sectional area of…

A: Given value--- mass = 2300 kg. Area = 0.01 m2 . Elastic modulus = 2 × 1011 N/m2.  We have to…

Q: A steel rod 2,0-m long has a cross-sectional area of 0,30 cm?. It is hung by one end from a support,…

A: Given, Length of steel rod = 2.0 m Area = 0.30 cm2 Mass = 550 kg ESteel=20.0×1010 Pa

Q: Consider a rod, when applied with a certain force, reverts to its original form. With stress given…

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).