W Data Input • A homogeneous body, of weight W = 12 N and of length /= 1 kg m, is kept in balance by a horizontal force P, which must contrast an elastic force with elastic constant K = 12 N/m with Xo = 0.1 · I. Find o the value of P with q = 30°. 0.5 1 te

W Data Input • A homogeneous body, of weight W = 12 N and of length /= 1 kg m, is kept in balance by a horizontal force P, which must contrast an elastic force with elastic constant K = 12 N/m with Xo = 0.1 · I. Find o the value of P with q = 30°. 0.5 1 te

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.8.4P: The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the...

See similar textbooks

Related questions

Q: Momentum Equation Q1: What force components F, Fy are required to hold the block box in figure (1)…

Q: A solid cylinder of diameter D , length L , and density ρ sfalls due to gravity inside a tube of…

A: The diagram of a solid cylinder inside the tube is given as, The shear stress due to viscosity is…

Q: The weight of the crate is 50 kg and the spring constant is 200 N/m in DB. Use g= 9.81 mis2. What is…

Q: The spring constant shown is k and the masses are ma and mg . The horizontal bar is smooth. At the…

Q: Consider the mass-spring system with frictionless sliding. With the forcing function f(t) as…

A: Given data stiffness of spring k = 718 N/m mass of of the blocks = 268kg force f1 = 671N time t1 =…

Q: An oil of density 930kg/m and viscosity 0.02 Pa s flows through a pipeline with diameter 3 m at a…

A: Solution Use Renolds model ρvdμwater=ρvdμoil

Q: A. A motorcycle and rider have a combined mass of 350kg. The wheels each have a mass of 20kg,…

Q: Wight 5 N High=10in 10 3.5 20 7 Width=1 in 40 16 20 9.9 10 Depth=5in 4 2 Calculation: Consider a…

A: Write the given data in the problem. L=10 in=10 in25.4 mm1 in=254 mmt=1 in=1 in25.4 mm1 in=25.4…

Q: Draw bond graph model of systems below : Viscous friction mi coefficient, 6 Strings and pulleys U1 i…

A: Solution: The bond graph model of the given system is shown below;

Q: The height h to which a column of liquid will rise in a small-bore tube due to surface tension is a…

A: The given variables are: The number of variables is The number of fundamental dimensions is The…

Q: m= 800 kg, Cp=D0.2, A 2.2m2, Co-0.008, C-1x0.6x10-6 s/m, also take density of air p-1.18 kg/m' and…

A: Given data-m=800kgCD=0.2Af=2.2m2g=9.81 m/s2Co=0.008C1=1×0.6×10-6 s2/m2ρ=1.18 kg/m3v(t)=0.29055t2…

Q: Find the questions 1. Stress state of fluid. 2. Piston pumps. Structure, operation. 3. The basic…

Q: sailing vessels can carry lead ballast such as bricks to keep the vessel properly oriented and…

Q: To investigate the lateral motion of an engine attached to an aircraft wing in a gravitational…

A: The vibration during the occasional airplane is not usually happening. There are different factors…

Q: na preliminary design for a mail-sorting machine, parcels moving at 2 fls slide down a smooth…

A: V=2ft/s=0.6096 m/sh=3ft=0.9144mμ=0.3k=176 lbf/ft=176×4.448220.3048k=2568.525…

Q: 5- A river barge which is 50 m long and 12 m wide has flat bottom; therefore, its resistance is…

A: Given Data: The length of the barge is, L=50 m. The width of the barge is, W=12 m. The speed of the…

Q: Xj(1) 5 N/m 5 kg f(t) Fig. 4

Q: Some shape with mass m is connected on the end of string of length L and spinning with angular speed…

A: The linear velocity of the mass m can be expressed as,

Q: A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floor steel…

A: As per honor code and answering guidelines I can answer 1st three subparts at a time.If you want…

Q: A linear (laminar) averagewall shear stress resistance of the form τ ≈ 8 μ V/D , whereμ is the fl…

A: Break the given figure into two moving control volumes one for each leg. Here, CV1 and CV2…

Q: Problem statement: A simply supported beam of diameter D, length L, and modulus of elasticity E is…

A: Given:Dimensions of the given variables are,Diameter, D=LDensity, ρ=ML-3Deflection,…

Q: A pressure difference of 35 pa is available to force -10c air. through a circular sheet metalduct…

Q: A sphere of diameter 10 cm with initial temprature 900C and h=600 w/m2k please provide all the…

Q: A simple problem of practical importance that ilustrates the nature of fricion is the study of the…

A: Given data Mass of the body = m kg Coefficient of static friction = μsCoefficient of kinetic…

Q: Consider the pictured mass-spring system excited by a mov- ing base y(t) and with a drag force = -e…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A model submarine with a length of T = 6.0 m is to be tested in a laboratory wind tunnel using air.…

Q: The solid sphere in Fig. is iron (SG ≈ 7.9). Thetension in the cable is 600 lbf. Estimate the…

A: The density of the solid iron sphere is calculated as : ρsphere=S.G×ρwaterSpecific Gravity =…

Q: sailing vessels can carry lead ballast such as bricks to keep the vessel properly oriented and…

Q: Calculate the change in length of a steel rod (Em =20 1010Pa) that has a length of 0.3 m and a…

A: Given Data Length of the rod, L=0.3m Mass of the rod supports, m=60Kg Diameter of the rod, D=5 mm…

Q: Wight Deflection 5 N High=10in 10 3.5 20 7 Width=1 in 40 16 20 9.9 10 Depth=5in 5 4 Calculation:…

A: Given dataHeight = L = 10 inch = 254 mm = 0.254 mThickness = t = 1 inch = 25.4 mm = 0.0254 mWidth =…

Q: 8. Following data is given for a rope pulley transmitting 24 kW: Diameter of pulley = 400 mm; Speed…

Q: The branching of a blood vessel is shown. Blood at pressure of 10 kPa gage flows in the main vessel…

Q: Prob. # 5] Shown in the Figure below is a block of mass m that is attached to two ideal springs and…

Q: 6. A spherical balloon 4 meters in diameter is filled with (R =2,077 J/kg ° K). The balloon's string…

A: Given Data: Diameter of the balloon, d=4 m Gas constant of helium, R=2077 J/kg-K Pressure, P=100…

Q: Q2: A wind farm is proposed to be built outside of Baghdad Airport. The airport wind data Obtained…

A: Let us calculate the yield required 65 m annually.The yield required per hour =65 m10^qw / (365 x…

Q: side a vacuum chamber. The chamber is isolated from the nvironment by a piston, which is free to…

A: Givenk=1250N/md=12mmP=1atm=101325PaD1=4mx2=17.325mm

Q: Glycerin at 20°C fills the space between a hollow sleeve of diameter 12 cm and a fixed coaxial solid…

A: Given data: Diameter of hollow sleeve, douter = 12 cm Diameter of solid rod, dinner = 11.8 cm…

Q: In this lab we will drop a steel ball (Psteel = 8000 kg/m³, rball = 2.18 x103 m) through the air…

Q: Data Sheet: F9a: Fluid Mechanics & Bernoulli's Principle NAME: DATE: width port 1 & 3 6.3960E-03 (m)…

A: A/ c to conservation of mass flow for a non compressible flow, discharge through any portion will be…

Q: Glycerin at 20 ° C fills the space between a hollow sleeve ofdiameter 12 cm and a fixed coaxial…

Q: Given a manometer with tube diameter 0.6 cm and mercury length of 122 cm, the applied pressure is…

Q: Determine Pa-PB if x = 3.0 m, y = 1.0 m, z = 2.5 m in the figure below. Fluid 1 and 3 is paraffin,…

Q: Let’s look at a simplified model of a car that’s dropped onto the ground. Model the suspension as a…

Q: The following data exists, E=71GPA, I=5x10*m , h=1m, l2=2m, mi=m2=1500kg, l=4m, mw 200kg mE.I m; т,…

A: Total moment of inertia =I I=M1l12+M2l22+mwl23I=1500×12+1500×22+200×423I=8566.67kg-m2

Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

Application 20: Balance
K
W
P
Data Input
• A homogeneous body, of weight W = 12 N and of length I = 1 kg m,
is kept in balance by a horizontal force P, which must contrast an
elastic force with elastic constant K = 12 N/m with Xo = 0.1 I.
Find
o the value ofP with q = 30°.
0.5 1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A double-drum winder is used as a stage hoist for the sinking of a vertical shift. The stage is suspended in the vertical shaft by two winding ropes in double purchase, the fixed ends being anchored in the headgear. Each rope has a strength of 890 kN when new, and a mass of 5.38 kg/m. The empty stage has a mass of 18360 kg. The minimum factor of safety permitted for ropes is 5 at discard, but allowance must be made for 5% deterioration before discard. The shaft is being sunk to a depth of 1830 m below the headgear sheaves. Calculate the maximum mass load that can be placed on stage, including persons and material.
A safety valve, 11 mm in diameter, is to blow off at a pressure of 1.5 MPa. It is held on itsseat by means of a helical compression spring, with initial compression of 16 mm. Themaximum lift of the valve is 27 mm. The ratio of mean coil diameter to wire diameter is5. The spring is made of cold drawn steel wire with ultimate tensile strength of 1400 MPa. (G = 81 370 N/mm2), Calculate:i. Wire diameter;ii. Mean coil diameteriii. Number of active coilsiv. Free lengthv. Pitchvi. Actual spring constantvii. Required Stiffness
Q 40/A homogeneous bar of length / and weight w lb rests horizontally as shown in Fig. 40 with its free endon a block of weight W. the block W is at rest on a plane inclined at the angle a with the horizontal. Determine the necessary coefficient of friction u between the block and the plane for equilibrium. Assume no friction between the bar and the block.
A helical compression spring is required to provide a minimum force of 150 lb at installation and have a working deflection of 1 in. The spring rate is 75 lb/in. The coil must fit in a 2.1-in-dia hole with 0.1 in total clearance. Use 0.25-in diameter unpeened music wire and squared/ground ends. Use a 15% clash allowance, shear modulus G = 11.5 Mpsi, and weight density γ = 0.285 lb/in3. Assume Sys = 0.6Sut. Part A Find the shear stress at the initial deflection. Express your answer in pounds per square inch to three significant figures. τiτi = Part B Find the mean stress. Express your answer in pounds per square inch to three significant figures. Part C Find the alternating stress in the coil. Express your answer in pounds per square inch to three significant figures. Part D Find the fatigue safety factor for infinite life in shear. Express your answer using three significant figures.…
PROBLEM: 5 A helical valve spring is to be designed for an operating load range of 90N to 195N. The maximum deflection of the spring for this load range is 7.5 mm. Assuming a spring index of 9, a permissible shear stress of 550 N/mm2 for the material and the modulus of rigidity of 0.85x105 N/mm2. Determine the dimensions of the spring. (i.e. Diameter of the spring wire ,Mean coil diameter, Outer diameter of the spring, number of active turn and free length of the spring). Assume the spring coil is squared and ground.
1. A closed coiled helical spring, is made out of a 10mm diameter steel rod, has 10 complete coils each of mean diameter of 80mm. Calculate for force of 200N: (a) the stress induced in the section of the rod (b) the deflection under the pull (c) the amount of energy stored in the spring during extension. Take G=84GPa. 2. A composite spring has two closed coiled springs connected in series, each spring has 12 coils at a mean diameter of 25mm. Find the wire diameter for one if the other is of 2.5mm diameter and the stiffness of the composite spring is 700N/m.Estimate the greatest load that can be carried by the composite spring, and the corresponding extension, for a maximum shear stress of 180MPa. Take G=80GPa.
PROBLEM The diameter of two pulleys are (0.3m)and (0.2m), center distance (1m).if we use open belt drive. Determine: 1- the length of V-belt (2ß = 60°). 2- the contact angle between belt and smaller pulley. 3- the horse power, if the smaller pulley turn with speed (400r.p.m) and the tension force in tight side (T1=900N), coefficient of friction ų=0.3 4- the speed of large pulley.
An 8 ?? box resting on a horizontal, frictionless surface is attached to a 2 ?? weight by a thin, light wire that passes over a frictionless pulley. The pulley has the shape of a uniform solid disk of mass 2 ?? and diameter 0.6 ?. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) acceleration of the box, (c) horizontal and vertical components of the force that the axle exerts on the pulley.
1. A closed coiled helical spring, is made out of a 10mm diameter steel rod, has 10 complete coils each of mean diameter of 80mm. Calculate for force of 200N:(a) the stress induced in the section of the rod (b) the deflection under the pull (c) the amount of energy stored in the spring during extension.Take G=84GPa.
A 30kg mass is tied to a uniform rod whose mass and length are 80-kg and 8-m, as shown below. The rod is attached to the floor via a hinge and makes an angle of 70° relative to the ground; a massless string is also attached to the rod at the ¼ point of the rod and makes an angle of 20° relative to the horizontal. What tension must be provided by the rope so that the system remains in stationary? If at some point the string breaks, what will be the angular acceleration of the system the instant that the string breaks?
Gate AB retains water as shown in the figure. The gate is supported every 2 m (perpendicular to the plane of view) by member BC, which is attached to a 2000 kg mass at point C. What minimum static coefficient of friction μs, along the contact surface between the mass and its base, is needed for the gatestructure to be in equilibrium? There are pins at pointsA, B, andC.
A weight of 400 N is dropped through a height of 600 mm onto a closed coil compression spring which instantaneously compresses by 200 mm under the impact. The diameter. of spring wire is 25 mn and mean diameter of coil is 200 mm. Find maximum instantaneous stress produced by impact, and number of coil in spring take G=30 kN/mm¹.