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The components of tensor A are equal to the corresponding components of tensor B in one particular coordinate system denoted, by the superscript 0; that is,
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4.1.2 The components of tensor A are equal to the corresponding components of tensor B in...
6. Let the components of the Cauchy stress tensor for an object B at time t...
6. Let the components of the Cauchy stress tensor for an object B at time t be 0 CX3 T = [Tj] = | bx3 ax2 cx1 MPa, where b, c, and d are constants . - 0 -bx10 (a) Determine the body forces required if the object B is at rest for all times t. (b) At the location x - (4,7,-4), calculate the traction vector acting on the surface defined by -X1 + 2x2 + 2x3-2-0 and the...
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system....
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system. (30 T = 10 (15 10 15 -35 0 ksi 0 40) The material has a modulus of elasticity equal to 10 psi and a Poisson's ratio of 0.3. The principal stresses are 51, 20, and -37 ksi. (A) Determine the nine elements of the strain tensor € (in/in). (B) Determine the largest principal shear stress (ksi). (C) Determine the Von Mises stress (ksi)....
3. Find all the eigenvalues and corresponding eigenspaces for the matrix B = 4. Show that...
3. Find all the eigenvalues and corresponding eigenspaces for the matrix B = 4. Show that the matrix B = 0 1 is not diagonalizable. 0 4] Lo 5. Let 2, and 1, be two distinct eigenvalues of a matrix A (2, # 12). Assume V1, V2 are eigenvectors of A corresponding to 11 and 22 respectively. Prove that V1, V2 are linearly independent.
Heres example 10.2 (3) (30 points) In Example 10.2, the moment of inertia tensor for a...
Heres example 10.2
(3) (30 points) In Example 10.2, the moment of inertia tensor for a uniform solid cube of mass Mand side a is calculated for rotation about a corner of the cube. It also worked out the angular momentum of the cube when rotated about the x-axis - see Equation 10.51. (a) Find the total kinetic energy of the cube when rotated about the x-axis. (b) Example 10.4 finds the principal axes of this cube. It shows that...
The probability of A, B, C, and D all equal .98. Please show calculations. 2.3 Conditional...
The probability of A, B, C, and D all equal .98. Please show
calculations.
2.3 Conditional probability and independence Example 3 An electrical system consists of four components as illustrated on the whiteboard. The system works if components A and B work and either of the components C or D works. The reliability (probability of working) of each component is also shown. Find the probability that [a] the entire system works and b] the component C does not work, given...
California and Nevada are adopting electronic medical records (EMR) systems, provided by either Kareo or Praxis....
California and Nevada are
adopting electronic medical records (EMR) systems, provided by
either Kareo or Praxis. Each state has a preference for using one
of these systems rather than the other, but all else equal, both
states would like to use the same system since doing so makes it
easier to coordinate healthcare for people who commute across state
lines.
3 Coordinated care (9 pts.) California and Nevada are adopting electronic medical records (EMR) systems, provided by either Kareo or...
4. A parallel system functions whenever at least one of its components works. Suppose you have...
4. A parallel system functions whenever at least one of its components works. Suppose you have two separate parallel systems, A and B, each consisting of n identical components that work independently with probability p. a) Consider parallel system A. Given that the system is functioning, what is conditional probability that component 1 works? (This has nothing to do with B yet.) Suppose system B breaks down (all n of its components fail), but system A remains functional. To get...
Let A and B be events with probabilities not equal to 0 or 1. Show that...
Let A and B be events with probabilities not equal to 0 or 1. Show that if P(B|A) = 1, then P(A0 |B0 ) = 1. You may use the axioms of probability, all the theorems from the notes, and anything that was proven on the homework or in the notes. Hint: Consider slide 9 in chapter 4 for event A and show that P (A|B0 ) = 0.
4. Reliability of Systems - Take n components to have failure times Ti, T2, ..., Tn...
4. Reliability of Systems - Take n components to have failure times Ti, T2, ..., Tn If we construct a complex system out of these distribution of the failure time T of the entire svstem in terms of the distributions of Ti, T2, ..., Tn. There are two basic networks. In a series hookup, the system fails as soon as any one of the components fails. Hence T - min(T1, T2, ...,Tn). In a parallel hookup the system is operational...
B. One Commodity Assisted Labor model (number questions B.1, B.2,.., B.8) Let the system be characterized...
B. One Commodity Assisted Labor model (number questions B.1, B.2,.., B.8) Let the system be characterized by the following: 111UX1 1. What is the net product? Set up the net congruency relation. 2. What are the three productvity parameters? Define them and provide for you numeric example. Draw the economy in factor productivity space. 3. Solve the value system for configuration of exchange using both corn and labor as numeraire for the following regimes o 0 24 Rp . Associate...
6. Let the components of the Cauchy stress tensor for an object B at time t be 0 CX3 T = [Tj] = | bx3 ax2 cx1 MPa, where b, c, and d are constants . - 0 -bx10 (a) Determine the body forces required if the object B is at rest for all times t. (b) At the location x - (4,7,-4), calculate the traction vector acting on the surface defined by -X1 + 2x2 + 2x3-2-0 and the...
1. Consider the stress tensor T at a particular point in a xyz Cartesian coordinate system. (30 T = 10 (15 10 15 -35 0 ksi 0 40) The material has a modulus of elasticity equal to 10 psi and a Poisson's ratio of 0.3. The principal stresses are 51, 20, and -37 ksi. (A) Determine the nine elements of the strain tensor € (in/in). (B) Determine the largest principal shear stress (ksi). (C) Determine the Von Mises stress (ksi)....
3. Find all the eigenvalues and corresponding eigenspaces for the matrix B = 4. Show that the matrix B = 0 1 is not diagonalizable. 0 4] Lo 5. Let 2, and 1, be two distinct eigenvalues of a matrix A (2, # 12). Assume V1, V2 are eigenvectors of A corresponding to 11 and 22 respectively. Prove that V1, V2 are linearly independent.
Heres example 10.2
(3) (30 points) In Example 10.2, the moment of inertia tensor for a uniform solid cube of mass Mand side a is calculated for rotation about a corner of the cube. It also worked out the angular momentum of the cube when rotated about the x-axis - see Equation 10.51. (a) Find the total kinetic energy of the cube when rotated about the x-axis. (b) Example 10.4 finds the principal axes of this cube. It shows that...
The probability of A, B, C, and D all equal .98. Please show
calculations.
2.3 Conditional probability and independence Example 3 An electrical system consists of four components as illustrated on the whiteboard. The system works if components A and B work and either of the components C or D works. The reliability (probability of working) of each component is also shown. Find the probability that [a] the entire system works and b] the component C does not work, given...
California and Nevada are
adopting electronic medical records (EMR) systems, provided by
either Kareo or Praxis. Each state has a preference for using one
of these systems rather than the other, but all else equal, both
states would like to use the same system since doing so makes it
easier to coordinate healthcare for people who commute across state
lines.
3 Coordinated care (9 pts.) California and Nevada are adopting electronic medical records (EMR) systems, provided by either Kareo or...
4. A parallel system functions whenever at least one of its components works. Suppose you have two separate parallel systems, A and B, each consisting of n identical components that work independently with probability p. a) Consider parallel system A. Given that the system is functioning, what is conditional probability that component 1 works? (This has nothing to do with B yet.) Suppose system B breaks down (all n of its components fail), but system A remains functional. To get...
4. Reliability of Systems - Take n components to have failure times Ti, T2, ..., Tn If we construct a complex system out of these distribution of the failure time T of the entire svstem in terms of the distributions of Ti, T2, ..., Tn. There are two basic networks. In a series hookup, the system fails as soon as any one of the components fails. Hence T - min(T1, T2, ...,Tn). In a parallel hookup the system is operational...
B. One Commodity Assisted Labor model (number questions B.1, B.2,.., B.8) Let the system be characterized by the following: 111UX1 1. What is the net product? Set up the net congruency relation. 2. What are the three productvity parameters? Define them and provide for you numeric example. Draw the economy in factor productivity space. 3. Solve the value system for configuration of exchange using both corn and labor as numeraire for the following regimes o 0 24 Rp . Associate...
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