QUESTION 1 Problem A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire.   Solution a) Let us first derive the expression for the tension. By Newton's First Law ΣF = ______ the components of force that makes this so is ΣF = T_____ -_____  = 0 Simplifying this results to T =________ g/_____(ϕ) Analyzing the figure above, we arrive at (ϕ) = sqrt(_____ 2 +______  ) / (_____ /_____ +_____  ) By substitution, we arrive at the following: T =  (_____ + 2______ ) g / ( ______ sqrt (______ 2 +_____  ) ) If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to T = ________ 0.370 N

Q: dder is tied at its bottom on the wall using a wire shown in the figure. The floor is frictionless,…

A: Given data: Mass of ladder,m=110 kg The horizontal length is 5 m The vertical length is 12 m Maximum…

Q: In the figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of…

A: Given Area of A AA                   = 2.1 AB Young modulus of A EA = 1.5 EB

Q: The wooden sign is supported by three chains attached to the ceiling (AC, AB & AD) If the tension in…

A: According to guidelines we are suppose to do only three part from multipart questions. Kindly repost…

Q: The elastic limit of an alloy is 7.0 x 10% N/m². What is the minimum radius rmin of a 4.0 m long…

A:

Q: A1 (1.0) m long rod of cross-section 1.0x10 4 m2 is stretched by 537 um. What is the tensile stress…

A: Given, Length of rod,L=1 m Area of cross section,A=1×10-4m2 Change in length,∆L=537μm=5.37×10-4m…

Q: Part A In a materials testing laboratory, a metal wire made from a new alloy is found to break when…

A:

Q: (LO2-4) If b = 1 (i.e. the anchor side of the cable is at a 45° angle), what should be the slope a…

A:

Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

A:

Q: A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by…

A:

Q: A glass optical fiber in a communications system has a diameter of 9.0 μm. a. What maximum force…

A: Given:Diameter of the optical fiber(d) is 9.0μmUsing the formula:As the maximum stress of the object…

Q: An engineer wants to design a lightweight strong tie-rod as shown in figure 1. Consider a design…

A: 2.1) answer:

Q: Humans can bite with a force of approximately 791 N. If a human tooth has the Young's modulus of…

A: The change in the tooth's lenght is 7.23×10-6 m.

Q: The yield strength of an alloy is 7.0 x 108 N/m? What is the minimum radius rmin of a 3.0 m long…

A: Given that - restoring normal force  Stress To Find - We have to determine the value of the…

Q: Equilibrium & Elasticity: When forces are applied on each end of a wire, it stretches 0.86cm. The…

A: Let the force = F stretch in wire = 0.86 cm Let the original length = L let the original diameter =…

Q: A pitcher holds a baseball as shown below. The biceps muscle is attached to the radial bone 3.6…

A:

Q: A thin rod having a mass of 4 kg is balanced vertically as shown in (Figure 1). Take L = 0.65 m.…

A:

Q: A 15.0 kg sign hangs from the end of a beam of length of 2.50 meters and mass 25.0 kg as shown in…

A: Given: The beam of the cable is 2.5 m. The mass of the beam is 25 kg. The length of the cable is 3.5…

Q: What is the proportional limit? O None of these answers O 37,540 psi O 30,000 psi

A: Proportional limit is the the maximum stress for which graph is linear 40,000 psi

Q: The elastic limit of an alloy is 5.0×108 N/m2. What is the minimum radius ?min of a 9.0 m long wire…

A: ...

Q: A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by…

A: Given:      mass, m  = 45 kg     diameter, d = 30 cm ⇒ radius, r = 15cm = 15 x 10-2 m      length, L…

Q: A homogeneous sphere with a weight of 75 lb rests on two smooth planes as shown in the figure.…

A: Given data- A homogeneous sphere with a weight W=75 lb rests on two smooth planes. let force exerted…

Q: A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 890 N is…

A:

Q: Question 2 Calculate the torque in each section and the maximum shear stress in the shaft EH (Figure…

A: Torsion equation of shaft, TJ=τR Where J is polar inertia. τ=Td2πd432τ=16Tπd3   For EF, d=23×10-3m…

Q: For the conditions of the equilibrium of the body (i.e. the rigid body), only the external force…

A: Given : internal forces cancel each other, So Finternal = 0 Body in equilibrium.

Q: A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by…

A: Draw the free-body diagram of the uniform solid ball.

Q: Calculate the x-, y-, and z-coordinates of the mass center of the bracket formed from the steel…

A:

Q: A metal wire of diameter 1.00 mm can support a tension of 0.290 kN. A construction worker needs a…

A: Expression for young's modulus is Y=FA∆LLRearrangeA=FLY∆LπD24=FLY∆LD2=4FLYπ∆L Taking ratio…

Q: Set P₁ = 3.6 kN and P₂ = 2.7 kN. (Figure 1)

A: Given that P1=3.6 kN and P2=2.7 kN Using the method of joint,we get at joint C…

Q: h L GAS A 48.0 kg sign hangs at the end of a bar where L = 3.10 meters in length. A cable attaches…

A: Given: The mass of the GAS is 48 kg. The mass of the rod is 12 kg. The length of the bar is L = 3.1…

Q: no ai please

A: Step 1: Let us first draw a free body diagram of a single side of the ladder, The forces acting on…

Q: The uniform beam has a mass of 46 kg per meter of length. Determine the reactions at the supports. A…

A:

Q: A person exercises the quadriceps as shown. The diagram on the right shows a model of the leg, where…

A:

Q: A force stretches a wire by 1.0 mm.a. A second wire of the same material has the same cross section…

A: Young's modulus is the mechanical property of a material which measures the stiffness of the…

Q: A nylon string on a tennis racket is under a tension of 215 N. Part A If its diameter is 1.05 mm, by…

A: Given that, Tension on the nylon string is T=215N the diameter of the wire is d=1.05mm=1.05×10-3m…

Q: (b) What is the value of Young's modulus for this alloy? i. 5.6 x 107 N/m²

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).