Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter B.1, Problem 10P
To determine
The mass moment of inertia of the homogenous solid of revolution about
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Show work on how to obtain P2 and T2. If using any table, please refer to it. If applying interpolation method, please show the work.
cast-iron roller
FIGURE P11-3
Shaft Design for Problems 11-17
Chapter 11
BEARINGS AND LUBRICATION
677
gear
key
P
assume bearings act
as simple supports
11-18 Problem 7-18 determined the half-width of the contact patch for a 1.575-in-dia steel
cylinder, 9.843 in long, rolled against a flat aluminum plate with 900 lb of force to be
0.0064 in. If the cylinder rolls at 800 rpm, determine its lubrication condition with ISO
VG 1000 oil at 200°F. R₁ = 64 μin (cylinder); R₁ = 32 μin (plate).
11-19 The shaft shown in Figure P11-4 was designed in Problem 10-19. For the data in the
row(s) assigned from Table P11-1, and the corresponding diameter of shaft found in
Problem 10-19, design suitable bearings to support the load for at least 5E8 cycles at
1200 rpm. State all assumptions.
(a)
(b)
Using hydrodynamically lubricated bronze sleeve bearings with ON = 40,
1/ d=0.80, and a clearance ratio of 0.002 5.
Using deep-groove ball bearings for a 10% failure rate.
*11-20 Problem 7-20 determined the…
Calculate the shear force at the point D on the beam below. Take F=19 and remember that
this quantity is to be used to calculate both forces and lengths.
15F
A
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Chapter B Solutions
Engineering Mechanics: Dynamics
Ch. B.1 - Determine the mass moment of inertia of the bent...Ch. B.1 - Determine the mass moment of inertia of the...Ch. B.1 - Prob. 3PCh. B.1 - Prob. 4PCh. B.1 - Determine the mass moment of inertia of the...Ch. B.1 - Determine the mass moment of inertia about the...Ch. B.1 - Prob. 7PCh. B.1 - Prob. 8PCh. B.1 - Prob. 9PCh. B.1 - Prob. 10P
Ch. B.1 - Prob. 11PCh. B.1 - Prob. 12PCh. B.1 - Prob. 13PCh. B.1 - Prob. 14PCh. B.1 - Prob. 15PCh. B.1 - Prob. 16PCh. B.1 - Determine the moment of inertia about the...Ch. B.1 - Prob. 18PCh. B.1 - Prob. 19PCh. B.1 - Prob. 20PCh. B.1 - For the square pyramid of Prob. B/20, determine...Ch. B.1 - Prob. 22PCh. B.1 - Prob. 23PCh. B.1 - Prob. 24PCh. B.1 - Prob. 25PCh. B.1 - Prob. 26PCh. B.1 - Prob. 27PCh. B.1 - Determine the mass moment of inertia and...Ch. B.1 - Prob. 29PCh. B.1 - Prob. 30PCh. B.1 - Prob. 31PCh. B.1 - Prob. 32PCh. B.1 - Prob. 33PCh. B.1 - Prob. 34PCh. B.1 - Prob. 35PCh. B.1 - Prob. 36PCh. B.1 - Prob. 37PCh. B.1 - Prob. 38PCh. B.1 - Prob. 39PCh. B.1 - Calculate the moment of inertia of the steel...Ch. B.1 - Prob. 41PCh. B.1 - Prob. 42PCh. B.1 - Prob. 43PCh. B.1 - Prob. 44PCh. B.1 - Prob. 45PCh. B.1 - Prob. 46PCh. B.1 - Prob. 47PCh. B.1 - Prob. 48PCh. B.1 - Prob. 49PCh. B.1 - Determine the mass moment of inertia of the steel...Ch. B.1 - Prob. 51PCh. B.1 - Prob. 52PCh. B.1 - Prob. 53PCh. B.1 - Prob. 54PCh. B.1 - Prob. 55PCh. B.1 - Prob. 56PCh. B.2 - Determine the products of inertia about the...Ch. B.2 - Prob. 58PCh. B.2 - Determine the product of inertia Ixy for the...Ch. B.2 - Prob. 60PCh. B.2 - Prob. 61PCh. B.2 - Prob. 62PCh. B.2 - Prob. 63PCh. B.2 - Prob. 64PCh. B.2 - The homogeneous plate of Prob. B/7 is repeated...Ch. B.2 - Prob. 66PCh. B.2 - The aluminium casting consists of a 6-in. cube...Ch. B.2 - Prob. 68PCh. B.2 - Prob. 69PCh. B.2 - Prob. 70PCh. B.2 - Prob. 71PCh. B.2 - Prob. 73PCh. B.2 - The assembly of three small spheres connected by...
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- "II-1 The shaft shown in Figure P11-I was designed in Problem 10-1. For the data in the row(s) assigned from Table P11-1, and the corresponding diameter of shaft found in Problem 10-1, design suitable bearings to support the load for at least 7E7 cycles at 1500 rpm. State all assumptions. (a) Using hydrodynamically lubricated bronze sleeve bearings with Ox = 20, 1/d=1.25, and a clearance ratio of 0.001 5. assume bearings act as simple supports FIGURE P11-1 Shaft Design for Problem 11-1 11-2 The shaft shown in Figure P11-2 was designed in Problem 10-2. For the data in the row(s) assigned from Table P11-1, and the corresponding diameter of shaft found in Problem 10-2, design suitable bearings to support the load for at least 3E8 cycles at 2.500 rpm. State all assumptions. (a) Using hydrodynamically lubricated bronze sleeve bearings with ON=30, 1/d=1.0, and a clearance ratio of 0.002. FIGURE P11-2 Shaft Design for Problem 11-2 Table P11-1 Data for Problems assume bearings act as simple…arrow_forwardFor the frame below, calculate the shear force at point Q. Take P=13 and note that this value is used for both the loads and the lengths of the members of the frame. 1 A Q ✗ 19 KBP 2.5P- B R C 45 degrees ✗ 1 .2P- 4PhN -P→arrow_forwardCalculate the Bending Moment at point D in the frame below. Leave your answer in Nm (newton-metres) J J A 2m 2m <2m х D 不 1m X E 5m 325 Nm 4x 400N/marrow_forward
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- Calculate the y coordinate of the of the centroid of the shape below. Take A= 18.5 8 6A 4A X 6Aarrow_forwardIn MATLAB write out a program to integrate the equations of motion of a rigid body. The inertia matrix is given by I = [125 0 0; 0 100 0; 0 0 75] which is a diagonal, where diag operator provides a matrix with given elements placed on its diagonal. Consider three cases where the body rotates 1 rad/sec about each principal axis. Integrate the resulting motion and study the angular rates and the resulting attitude (use any attitude coordinates). For each principal axis case, assume first that a pure spin about the principal axis is performed, and then repeat the simulation where a small 0.1 rad/sec motion is present about another principal axis. Discuss the stability of each motion. The code should produce a total of 6 simulations results when it is ran.arrow_forwardQ. A strain gauge rosette that is attached to the surface of a stressed component C). If the strain gauge rosette is of the D° gives 3 readings (a = A, b = B, &c = type (indicating the angle between each of the gauges), construct a Mohr's Strain Circle overleaf. You should assume that gauge A is aligned along the x-axis. Using the Mohr's Strain Circle calculate the: [10 marks] 100 918 ucy evods gringiz ya mwo quoy al etsede 39 926919 (i) principal strains (1, 2)? (au) oniona [5 marks] (ii) principal angles (1, 2)? You should measure these anticlockwise from the y-axis. 20 [5 marks] (iii) maximum shear strain in the plane (ymax)? Ex = Ea Ey = εc [5 marks] (epol) (apob) é Ea = A = -210 2 B=E₁ = -50 E₁ = C = 340 D = 45° bril elled ✓A bedivordan nemigas olloho shot on no eonsoup Imeneo alubom shine sail-no viss ieqse sidetiva bnat sabied 2arrow_forward
- 1) Solve and show which is converage or diyverage a = 2+(0.1)" 3 16) a = n 1-2n 2) a = In n 1+2n 17) a = n 1-5n4 3) an = n* +8n³ 18) a =√4"n n² -2n+1 n! 20) a = 4) a₁ = 10 n-1 (Ina) 5) a=1+(-1)" 21) a= 6) a 7) an = * = (12+) (1-1) 2n (-1)+1 2n-1 3n+1 22) a= 3n-1 x" 23) a= .x>0 2n+1 2n 3"x6" 8) a = 24) a = n+1 π 9) a = sin 2 sin n 10) an = n + 2 x n! 25) a = tanh(n) n² 1 26) a = -sin- 2n-1 27) a = tan(n) n n 11) a = 2" 12) a = n 13) a = 8/ +=(1+2)" 14) a = 15) a = √10n In(n+1) 29) a = n 30) an-√n²-1 1 28) a = + √2" (In n)200 n 31) a=- = 1 dx nixarrow_forwardHW12 A multiple-disc clutch has five plates having four pairs of active friction surfaces. If the intensity of pressure is not to exceed 0.127 N/mm², find the power transmitted at 500 r.p.m. The outer and inner radii of friction surfaces are 125 mm and 75 mm respectively. Assume uniform wear and take the coefficient of friction = 0.3.arrow_forwardThe sketch below gives some details of the human heart at rest. What is the total power requirement (work/time) for an artificial heart pump if we use a safety factor of 5 to allow for inefficiencies, the need to operate the heart under stress, etc.? Assume blood has the properties of water. p pressure above atmosphere blood going to the lungs for a fresh charge of oxygen p = 2.9 kPa 25v pulmonary artery d = 25mm fresh oxygenated blood from the lungs p = 1.0 kPa vena cava d=30mm right auricle pulmonary vein, d = 28mm aorta, d=20mm spent blood returning from left auricle the body p = 0.66 kPa right left ventricle ventricle blood to feed the body, p 13 kPa normal blood flow = 90 ml/sarrow_forward
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moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY