
Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 9.2, Problem 86P
To determine
The center of mass
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
for this 4 figuredarw the Kinematic Diagram:DoF:F=Type/Name ofmechanismEvolution:
Two channels and two plates are used to formthe column section shown. For b = 200 mm,determine the moments of inertia and theradii of gyration of the combined section withrespect to the centroidal x and y axes.For the section of problem, determine thefirst moment of the upper plate about thecentroidal x-axis
Determine by direct integration the moment of inertia of theshaded area at right with respect to the x axis shown.
Determine by direct integration the moment of inertia of theshaded area of the figure with respect to the y axis shown.
Chapter 9 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 9.1 - In each case, use the element shown and specify...Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid of the shaded area. Prob....Ch. 9.1 - Locate the center of mass x of the straight rod if...Ch. 9.1 - Locate the centroid of the homogeneous solid...Ch. 9.1 - Locate the centroid z of the homogeneous solid...Ch. 9.1 - Locate the center of mass of the homogeneous rod...Ch. 9.1 - Prob. 2PCh. 9.1 - Locate the center of gravity x of the homogeneous...
Ch. 9.1 - Locate the center of gravity of the homogeneous...Ch. 9.1 - Prob. 5PCh. 9.1 - Locate the centroid of the area.Ch. 9.1 - Locate the centroid x of the parabolic area. Prob....Ch. 9.1 - Prob. 8PCh. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9.1 - Locate the centroid of the area. Probs. 9-13/14Ch. 9.1 - Prob. 15PCh. 9.1 - Prob. 16PCh. 9.1 - Prob. 17PCh. 9.1 - Prob. 18PCh. 9.1 - Prob. 19PCh. 9.1 - Prob. 20PCh. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Prob. 23PCh. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Prob. 25PCh. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Prob. 28PCh. 9.1 - Prob. 29PCh. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Prob. 31PCh. 9.1 - Prob. 32PCh. 9.1 - Prob. 33PCh. 9.1 - The steel plate is 0.3 m thick and has a density...Ch. 9.1 - Prob. 35PCh. 9.1 - Prob. 36PCh. 9.1 - Prob. 37PCh. 9.1 - Determine the location r of the centroid C for the...Ch. 9.1 - Locate the center of gravity of the volume. The...Ch. 9.1 - Prob. 40PCh. 9.1 - Locate the centroid z of the frustum of the...Ch. 9.1 - Prob. 42PCh. 9.1 - Locate the centroid of the quarter-cone. Prob....Ch. 9.1 - Prob. 44PCh. 9.1 - Locate the centroid z of the volume. Prob. 9-45Ch. 9.1 - Prob. 46PCh. 9.1 - Prob. 47PCh. 9.1 - Prob. 48PCh. 9.1 - Prob. 49PCh. 9.1 - Prob. 50PCh. 9.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9.2 - Prob. 8FPCh. 9.2 - Prob. 9FPCh. 9.2 - Prob. 10FPCh. 9.2 - Prob. 11FPCh. 9.2 - Prob. 12FPCh. 9.2 - Prob. 51PCh. 9.2 - Prob. 52PCh. 9.2 - Prob. 53PCh. 9.2 - Prob. 54PCh. 9.2 - Locate the centroid (x,y) of the metal cross...Ch. 9.2 - Prob. 56PCh. 9.2 - Prob. 57PCh. 9.2 - Determine the location of the centroidal axis xx...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Prob. 60PCh. 9.2 - Determine the location of the centroid C of the...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Determine the location of the centroid of the...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Determine the location (x,y) of the centroid C of...Ch. 9.2 - Determine the location of the centroid C for a...Ch. 9.2 - Locate the centroid of the cross-sectional area...Ch. 9.2 - A triangular plate made of homogeneous material...Ch. 9.2 - A triangular plate made of homogeneous material...Ch. 9.2 - Prob. 70PCh. 9.2 - Prob. 71PCh. 9.2 - Prob. 72PCh. 9.2 - Prob. 73PCh. 9.2 - Prob. 74PCh. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - The sheet metal part has the dimensions shown....Ch. 9.2 - Prob. 77PCh. 9.2 - The wooden table is made from a square board...Ch. 9.2 - Prob. 79PCh. 9.2 - Prob. 80PCh. 9.2 - Prob. 81PCh. 9.2 - Prob. 82PCh. 9.2 - Prob. 83PCh. 9.2 - Prob. 84PCh. 9.2 - Determine the distance z to the centroid of the...Ch. 9.2 - Prob. 86PCh. 9.2 - Prob. 87PCh. 9.2 - Prob. 88PCh. 9.2 - Prob. 89PCh. 9.3 - Prob. 13FPCh. 9.3 - Prob. 14FPCh. 9.3 - Prob. 15FPCh. 9.3 - Prob. 16FPCh. 9.3 - Prob. 90PCh. 9.3 - Prob. 91PCh. 9.3 - Prob. 92PCh. 9.3 - Prob. 93PCh. 9.3 - Prob. 94PCh. 9.3 - Prob. 95PCh. 9.3 - Prob. 96PCh. 9.3 - Determine the volume of concrete needed to...Ch. 9.3 - Determine the surface area of the curb. Do not...Ch. 9.3 - Prob. 99PCh. 9.3 - Prob. 100PCh. 9.3 - Prob. 101PCh. 9.3 - Prob. 102PCh. 9.3 - Prob. 103PCh. 9.3 - Prob. 104PCh. 9.3 - Prob. 105PCh. 9.3 - Prob. 106PCh. 9.3 - Prob. 107PCh. 9.3 - Prob. 108PCh. 9.3 - Prob. 109PCh. 9.3 - Prob. 110PCh. 9.3 - Prob. 111PCh. 9.3 - Prob. 112PCh. 9.3 - Prob. 113PCh. 9.3 - Prob. 114PCh. 9.5 - Determine the magnitude of the hydrostatic force...Ch. 9.5 - Determine the magnitude of the hydrostatic force...Ch. 9.5 - Prob. 19FPCh. 9.5 - Prob. 20FPCh. 9.5 - Prob. 21FPCh. 9.5 - The pressure loading on the plate varies uniformly...Ch. 9.5 - The load over the plate varies linearly along the...Ch. 9.5 - Prob. 117PCh. 9.5 - Prob. 118PCh. 9.5 - Prob. 119PCh. 9.5 - When the tide water A subsides, the tide gate...Ch. 9.5 - The tank is filled with water to a depth of d = 4...Ch. 9.5 - Prob. 122PCh. 9.5 - The factor of safety for tipping of the concrete...Ch. 9.5 - Prob. 124PCh. 9.5 - The tank is used to store a liquid having a...Ch. 9.5 - Prob. 126PCh. 9.5 - Prob. 127PCh. 9.5 - Prob. 128PCh. 9.5 - Determine the magnitude of the resultant force...Ch. 9.5 - The semicircular drainage pipe is filled with...Ch. 9.5 - Prob. 1RPCh. 9.5 - Prob. 2RPCh. 9.5 - Prob. 3RPCh. 9.5 - Prob. 4RPCh. 9.5 - Prob. 5RPCh. 9.5 - Prob. 6RPCh. 9.5 - Prob. 7RPCh. 9.5 - Prob. 8RPCh. 9.5 - The gate AB is 8 m wide. Determine the horizontal...Ch. 9.5 - Prob. 10RP
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
- For the following MATLAB code, I need to answer a few questions. Can you identify the curves as elliptic functions? Which curves reflect the sn, cn, and dn functions?From the curves, determine the maximum amplitudes and the period corresponding toeach angular velocity component. clc; clear all; I = [500; 125; 425]; w = [0.2; 0.1; 0.2]; rev = 0:0.01:10; C = eye(3); % Using ode45 to integrate the KDE and DDE options = odeset('RelTol',1e-9,'AbsTol',1e-9); result = ode45(@K_DDE, rev, [w; I; C(:)], options); v = result.x; % Extracting information from the ode45 solver w = result.y(1:3, :); C_ode = reshape(result.y(7:end, :), [3,3,length(v)]); plot(v, w) xlabel('rev') ylabel('w (rad/s)') legend('w1', 'w2', 'w3') % Functions function dwCdt = K_DDE(~, w_IC) % Extracting the initial condtions to a variable w = w_IC(1:3); I = w_IC(4:6); C = reshape(w_IC(7:end), [3, 3]); I1 = I(1); I2 = I(2); I3 = I(3); K1 = -(I3-I2)/I1; K2 = -(I1-I3)/I2; K3 = -(I2-I1)/I3; %…arrow_forwardplease show a drawing/image and explain how to properly do the question. thanksarrow_forwardFor the four-bar- linkage shown in the following figure. BC=68mm, CD=100mm, AD=120mm. Determine the range of AB to make it a crank-rocker mechanism. B Darrow_forward
- all of those 4 fi 1)Draw kinematic diagram: 2)DOF: 3)type/name of mechanism 4)evolution:arrow_forward7.4 Impeller viscometer The rheology of a Penicillium chrysogenum broth is examined using an impeller viscometer. The density of the cell suspension is approximately 1000 kg m³. Samples of broth are stirred under laminar conditions using a Rushton turbine of diameter 4 cm in a glass beaker of diameter 15 cm. The average shear rate generated by the impeller is greater than the stirrer speed by a factor of about 10.2. When the stirrer shaft is attached to a device for measuring torque and rotational speed, the following results are recorded. Stirrer speed (s¹) Torque (Nm) 0.185 3.57 × 10-6 0.163 3.45 × 10-6 0.126 3.31 x 10-6 0.111 3.20×10-6 Can the rheology be described using a power-law model? If so, evaluate K and n.arrow_forward(read image)arrow_forward
- (read image) Answer Providedarrow_forwardThis is part B Part A's question and answer was find moment of inertia (Ix = 3.90×10^5) and radius of gyration (kx = 21.861) Determine the centroid ( x & y ) of the I-section, Calculate the moment of inertia of the section about itscentroidal x & y axes. How or why is this result different fromthe result of a previous problem?arrow_forwardDetermine by direct integration the moment of inertia of theshaded area of figure with respect to the y axis shownarrow_forward
- Consider the feedback controlled blending system shown below, which is designed to keep theoutlet concentration constant despite potential variations in the stream 1 composition. The density of all streamsis 920 kg/m3. At the nominal steady state, the flow rates of streams 1 and 2 are 950 and 425 kg/min,respectively, the liquid level in the tank is 1.3 m, the incoming mass fractions are x1 = 0.27, x2 = 0.54. Noticethe overflow line, indicating that the liquid level remains constant (i.e. any change in total inlet flow ratetranslates immediately to the same change in the outlet flow rate). You may assume the stream 1 flowrate andthe stream 2 composition are both constant. Use minutes as the time unit throughout this problem. Identify any controlled variable(s) (CVs), manipulated variable(s) (MVs),and disturbance variable(s) (DVs) in this problem. For each, explain how you know that’show it is classified.CVs: ___________, MVs: _____________, DVs: ______________ b) Draw a block diagram…arrow_forwardA heat transfer experiment is conducted on two identical spheres which are initially at the same temperature. The spheres are cooled by placing them in a channel. The fluid velocity in the channel is non-uniform, having a profile as shown. Which sphere cools off more rapidly? Explain. V 1arrow_forwardMy ID# 016948724 last 2 ID# 24 Last 3 ID# 724 Please help to find the correct answer for this problem using my ID# first write le line of action and then help me to find the forces {fx= , fy= mz= and for the last find the moment of inertial about the show x and y axes please show how to solve step by steparrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L

International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Mechanical Engineering: Centroids & Center of Gravity (1 of 35) What is Center of Gravity?; Author: Michel van Biezen;https://www.youtube.com/watch?v=Tkyk-G1rDQg;License: Standard Youtube License