Find the mass and the angle at which it should be positioned in planes A and D at a radius of 70 mm in order to produce complete balance of the system shown below. Radius of B is 80 mm Mass of B is 5 kg 225 mm B 300 mm 400 mm Radius of C is 55 mm Mass of C is 2 kg B 600 с

Find the mass and the angle at which it should be positioned in planes A and D at a radius of 70 mm in order to produce complete balance of the system shown below. Radius of B is 80 mm Mass of B is 5 kg 225 mm B 300 mm 400 mm Radius of C is 55 mm Mass of C is 2 kg B 600 с

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.57P: Find the stable equilibrium position of the system described in Prob. 10.56 if m = 2.06 kg.

See similar textbooks

Related questions

Q: The state of in-plane stress at a point on an element of material is shown. Let |σx| = 370 MPa, |σy|…

A: σx=370 MPaσy=130 MPaτxy=85 MPaθ=25 °then,σx=σx=370 MPaσy=-σy=-130 MPaτxy=-τxy=-85 MPaAngle from…

Q: Determine (a) the equations of the shear and bending moment curves for the beam and loading shown,…

Q: 20 (Use section method) and Draw the shear and bending moment diagrams for the beam and loading…

Q: Exercise 3 A simple beam AB is subjected to couples Mo and 2Mo acting as shown in the Figure below.…

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

Q: Consider the following rotational mechanical a. Apply the "by inspection" method in Laplace domain…

A: Given: To find: Equation of motion Solve for q1(s) Transfer function

Q: The tension in cable CD is T = 790 lb. Consider the force which this cable exerts on point C and…

A: The values are T=790 lb, a=13 ft, b=8 ft, c=12 ft, d=16 ft, e=20 ft

Q: H.W. - 10: 4KN 3m 3m ++ internal hinge B C 1m 3m 2m 5kN + 3m internal hinge D O Q.E Im 2kN/m 6m M F

A: the load at ABC = 4 kN The load at CD = 5 kN the load at EF = 2 kN/m

Q: If the force exerted on cable AB by the motor is F= (100 t/2) N, where t is in seconds, determine…

Q: Consider a mass m attached to a spring with natural length 7, hanging vertically under the action of…

A: the motion will be started from that instant when the system is released. ie. at t=0 But analysis of…

Q: for Part V) should the answer not be -0.4 to the final part of the question since the number put…

A: We have, general equation of the system as x=4.23sin100πt-1.79cos100πt We can write it in the…

Q: A steel shaft with diameter of 40mm can transfer a 32.5 kN-m torque force. What is the shaft's…

A: The shaft's lowest stress. Given: The diameter of the shaft is d=40 mm=0.04 m. The torque…

Q: 7. Solve the problem of the next figure: Method of join: get the force in each node Cap screw 5m 5N…

Q: Use the method of MEMBERS to determine the true magnitude and direction of the forces in members 1…

A: Find: Member forces by method of members

Q: determine the force member AE and CE (kN)

A: A=0,0,2B=4,0,2C=4,0,0D=0,0,0E=2,4,1 Write the unit vectors of AE, BE, CE and DE.…

Q: The diagram shows a torque-angle diagram for a certain machine. The speed of the shaft r maintained…

A: Let us consider the given data, Nmax=510 rpmNmin=490 rpmk=0.3A1=80JA2=100 JA3=130 JA4=110 J To…

Q: Kindly show a step-by-step solution. Thank you A 6m rod with a 4mm gap between one of its ends and…

Q: A normal shock wave propagates into atmosphere where the atmospheric temperature is equal to T₁ =…

A: please refer handwritten solution

Q: The 420-kg uniform beam is subjected to the three external loads shown. Compute the reactions at the…

Q: The water-gate articulated in point B and inclined at an alfa angle to the horizontal retains an H…

A: Given:Depth of water, H=4.0 mInclination angle of the gate with the horizontal, α=60oWidth of the…

Q: 7.35 and 7.36 For the beam and loading shown, (a) draw the shear and bending- moment diagrams, (b)…

Q: Required information A 1.76-m³ rigid tank contains steam at 220°C. One-third of the volume is in the…

A: To Find : The pressure of the steam. Given : The volume of container is v=1.76 m3 The properties of…

Q: Crude oil (SG=0.95) from a tanker dock flows through a pipe of 0.25 m diameter in the configuration…

Q: The rotor of an impulse turbine is 60 cm diameter and runs at 9,610 r.p.m. The nozzles are at 20° to…

A: Given Data: Impulse turbine Diameter D=60 cm=0.6 m Impulse turbine rotation N=9610 rpm Nozzle Angle…

Q: The pulley wheels are subjected to the loads shown. Determine the equivalent force-couple system at…

Q: KA = 2kB, then

A: mass of the body A and B are equal - MA=MB KA=2KB where K is radius of gyration.

Q: Boiler 16 13 Turbine Low-P Turbine 19

A: T-S plot is given below

Q: The side AB of an equilateral field ABC with an area of 692.80 sq.m. has a magnetic bearing of…

Q: Using ultimate strength method to design a rectangular beam 16. for a 10 m simple span to support a…

Q: Required Information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

Q: Problem-5. For the systems given below, where the input is unit step function, (a) Obtain the time…

A: c1(s)R(s)=5(s+3)s2+8s+15=5(s+3)s2+(2×4s)+16-1=5(s+3)(s+4)2-1 for (s+4)2=1, s=3,5therefore…

Q: Use the method of SECTIONS to find the true magnitude a direction in bar HG of the truss shown below…

A: Give. Data is

Q: with the initial conditions v(0) = 0.7 in and v(0) = 5.6 in/sec, determine the displacement and…

A: Let's solve the problem step by step. First, lets's start with part a and then part b

Q: Y| A W W -L- H4² Beam and Loading Elastic Curve M B B M y A Mc A wL² ܐ ܝ a max +++ D Умах X Ymax x…

Q: 1. A single acting 12 cylinder, 4-stroke cycle diesel engine with a bore stroke of 8" x 10" operates…

Q: For the beam and loading shown, determine the maximum normal stress due to bending on section a-a.…

Q: 4. A student followed strictly correct procedure in the lab during the experiment of moment of…

Q: The light bracket ABC is freely hinged at A and is constrained by the fixed pin in the smooth slot…

Q: complete 1-F on part a and b

A: Given Data: md2xdt2+cdxdt+kx=f(t)m=2 kgc=3 kg/sk=20 N/mf(t)=10 N To Find: (a) Determine the…

Q: An engineer is interested in the horizontal displacement of the dynamic system depicted in Fig. Q1.…

A: Given: m = 2 kgk = 1 N/mc= 4 Ns/mf1t=-1 Nf2t=2 N To find: Equations of motion Response

Q: Determine the forces in members BE and CE of the loaded truss. The forces are positive if in…

Q: Determine the length of the key to be used based on the compression.

A: Given Data Width of the key b = 32.5 mm Height of the key h = 22.5 mm Diameter of the shaft d = 125…

Q: Compute the force matrix [Q],displacement matrix[D]and element axial force for the following truss…

A: Given: To find: Force matrix Displacement matrix

Q: 4. If the bearing pads at A and B support only vertical forces, determine the greatest magnitude of…

A: The bending stress allowable is σallo=15 MPa The shear stress allowable is τallow=1.5 MPa

Q: A hollow cylinder 2 m long has an out 30mm. If the cylinder is carrying a load of 25 KN. FInd the…

A: Given L = 2 m = 2 000 mm D = 50 mm d = 30 mm W = 25…

Q: A nozzle receives 14 kg/s of air at a pressure of 2800 kPa and a velocity of 62 m/s and with an…

Q: The uniform bar with end rollers weighs 61 lb and is supported by the horizontal and vertical…

Q: An electric wire, with 2 mm in diameter, is insulated by a rubberized liner (k = 0.13 W/m.K) of 2 mm…

Q: Consider a constant-charge piston-cylinder device that initially contains 0.1 kg of refrigerant-134a…

A: Given data: m1=0.1 kgT1=20°Cp1=60 kPaT2=80 °C

Q: For the beam and loading shown (Fig. 5.18a) and using singularity functions, express the shear and…

Q: A nozzle is attached to a 6-cm-diameter hose but the horizontal nozzle turns the water through an…

A: Given: Nozzle inlet diameter, d1=6 cm=0.06 mNozzle exit diameter, d2=3 cm=0.03 mFlow rate through…

Concept explainers

Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

Question

Find the mass and the angle at which it should be positioned in planes A and D at a radius of 70
mm in order to produce complete balance of the system shown below.
Radius of B is 80 mm
Mass of B is 5 kg
A
225 mm
B
300 mm
400 mm
C
Radius of C is 55 mm
Mass of C is 2 kg
D
B
60⁰
с

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: Given

VIEW

Step 2: Table

VIEW

Step 3: Couple polygon

VIEW

Step 4: Force Polygon

VIEW

Step 5: Final Position Diagram

VIEW

Solution

VIEW

Step by step

Solved in 6 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

The shaft, bearing two unbalanced masses, rotates at a constant speed of ω = 20 r/s. In the case of balancing in the DI and DII planes, find the balancing values (kg.mm) and their positions.
Dimensions and dimensions in the system given in the figure: L1 = 850 mm; L2 = 1700 mm; L3 = 2400 mm; U4 = 3100 mm m1 = 2 kg; m2 = 3 kg; m3 = 4 kg R1 = 1135 mm; R2 = 820 mm; R3 = 1040 mm θ1 = 113o; 2 = 50o; θ1 = 250o Find in mA, RA, θA and mB, RB, θB required to achieve dynamic balance?
The hanging mobile pictured above consists of two masses, m1 and m2, suspended from a uniform 10 cm long rod, which is in turn suspended from the ceiling at an angle of 70 as pictured above. The mass m1 is 0.02 kg, while the mass of the rod is mr = 0.01 kg. Assuming the mobile is in a state of static equilibrium, find the value of mass m2.
Four masses m1, m2, m3 and m4 are 10 kg, 20 kg, 30 kg and 40 kg respectively. The corresponding radii of rotation are 0.1 m, 0.15 m, 0.3 m and 0.35 m respectively and the angles between successive masses are 40°, 60° and 120°. Find the position and magnitude of the balance mass required, if its radius of rotation is 0.5 m.
Find the torque T, in Nm, that will keep the mechanism balanced at q = 30 degrees in the system shown. The limbs AE and CD are connected to each other at their midpoints, each having a length of L = 3.7 meters and a mass of m = 117 kg. The mass of the upper horizontal platform-shaped limb is 248 kg and the mass of the car is 1.123 kg and they have the centers of gravity shown in the figure.
A, B, C and D are the four masses carried by a shaft in this order. Radii of rotation of the masses are 20cm, 25 cm, 10 cm and 15 cm respectively. The masses of B, C and D are 3 kg, 5 kg and 4 kg respectively.The planes containing B and C are 25 cm apart. Angle between B and C is 90o and between B and D is220o measured in anticlockwise direction. For complete dynamic balance, find (i) The mass and angularposition of A, (ii) The position of planes A and D.
550 g static mass Time to Complete 60 Revolutions 39 sec Radius of Rotation for the Rotating Mass . 144 m Mass of the Rotating Mass . 449 kg % Difference Between the Static ans Centripetal Forces
1) Diagram below shows four masses M,E,R,S carried by a rotating shaft at radii 100, 125, 200 and 150 mm respectively. The mass of E,R,S are 10 kg, 5 kg, and 4 kg respectively. The planes in which the masses revolve between M and E are 2mm, E and R are 1mm, R and S are 1mm. Determine the required mass of A, mA and the angles a,b,c relative to mass B so that the shaft shall be in complete balance.
Consider a disc of mass, M with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the equation describing the linear acceleration of the centre of mass of the disc down the slope in terms of the angular acceleration of the disc.
The forces exerted by the bicep muscle and acting on the elbow when a 12 kg barbell is being curled can be modeled based on the diagram above. The bicep muscle can be treated as a vertical cable. The mass and length of the forearm are 2 kg and 32 cm, respectively. The center of mass of the forearm is a distance of 14 cm from the point P, while the bicep connects to the forearm at a point 4.5 cm from P. a) Determine the tension in bicep muscle and the force of the humerus acting downward on the elbow at point P. b) Assuming the tension in the bicep muscle continues to be oriented vertically, determine the tension in the bicep muscle and the force acting at P after the barbell has been raised by an angle of 30 relative to the horizontal.
the proel governor shown as each ball weighs 3 kg and central sleeve weight is 25 kg. The arms are of 20 cm length and pivoted about axes displaced from central axis of rotation by 3.75 cm, y = 23.8 cm, x = 30 35 cm, CE = 8.5 cm, MD = 14.25 cm. Determine equilibrium speed.
find the mass of the automobile by treating it as an undamped single-degree-of-freedom system?(Need handwritten solution only please otherwise downvote)