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Then & has the dimenaior A) T/M 1) MAP OTML The dieplacement of in orijst is...
Linear Algebra 1. Consider the following map T : R2 → R. Is T a linear...
Linear Algebra
1. Consider the following map T : R2 → R. Is T a linear transformation? Explain 2. Suppose that A is a 3 × 4 matrix. The following elementary row operation has the same effect as multiplying a matrix E on the left of A. What is that matrix E?
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.' Calculate: a. the yielding moment Mv 19 Ma...
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.' Calculate: a. the yielding moment Mv 19 Marks b. the plastic moment Mp; 8 Marks] c. the shape factor f 3 Marks]
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.'...
15 marks] B. A toroidal core with a mean diameter of 200 mm and a cross-sectional area of 800 mm has an air gap of length 1.1 mm cut in it Fringing and leakage of flux around the air gap may be negle...
15 marks] B. A toroidal core with a mean diameter of 200 mm and a cross-sectional area of 800 mm has an air gap of length 1.1 mm cut in it Fringing and leakage of flux around the air gap may be neglected (i) Determine the current required in a coil of 1100 turns to produce a flux density of 1 T The relative permeability , of the core material (iron) may be assumed to be 3000 for this level...
The high E-string of a steel string guitar is about L = 0.7m long. It has a mass per unit length of p = 5.3 *10^-4 kg/m....
The high E-string of a steel string guitar is about L = 0.7m
long. It has a mass per unit length of p = 5.3 *10^-4 kg/m. Find
the tension T required to properly tune the string, given that a
high E has a frequency of f = 1318.51 hertz
(a) The high E-string of a steel string guitar is about L 0.7 m long. It has a mass per unit length of ρ= 5.3 x 10-4 kg/m. Find the...
Q.1 (a) Soil sample has been collected in a compacted embankment at a dry density (Pty)...
Q.1 (a) Soil sample has been collected in a compacted embankment at a dry density (Pty) of 1950 kg/m, air void ratio (A.) of 15% and mass of solid (M.) of 3 kg. The value of G, is 2.7. Determine the following: O mass of water (MX) and total mass (M), (4 marks) (i) volume of air (V.), water (V.x) and solid (V.); (6 marks) (iii) void ratio (e), porosity (n), moisture content (w), and degree of saturation (S) and;...
1. If another group measured the density of a cube made out of the same material...
1. If another group measured the density of a cube made out of the same material as you did, should they come out with the same density? Could you have measured the volume of your cube using volume displacement? 2. 3. Could you have measured the volume of your irregularly shaped object using an equation? If a substance has a density of 1.345 g/mL, how many grams would the substance weigh if the sample 4. has a volume of 22.1...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet)...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
Suppose that a rv Y has mgf m(t)- (a) 1-bt) Differentiate this mgf twice and thereby obtain the mean and variance of Y. [5 marksj] (b) Suppose m(t) is the mgf of a rv W. Let r(t) be the natural logar...
Suppose that a rv Y has mgf m(t)- (a) 1-bt) Differentiate this mgf twice and thereby obtain the mean and variance of Y. [5 marksj] (b) Suppose m(t) is the mgf of a rv W. Let r(t) be the natural logarithm of m(t), ie·r(t) = login(1). Find r'() and r"(t), and express r'(0) and r"(0) in terms of EW and VarW. [5 marks] Use the result in (b) to find the mean (d) Find the mean and variance of the...
Two objects are sitting on a frictionless surface. Object 1 has mass mi, while object 2...
Two objects are sitting on a frictionless surface. Object 1 has mass mi, while object 2 has twice as large a mass, m2=2mı. You push with force F on object 1 for 3 s, and then push on object 2 for the same length of time with the same force F. A. After the push, what is the ratio of the momentum of object 2 to the momentum of object 1? Explain your answer. [5] a) 4/1 b) 2/1 c)...
x H Neutral Line Point A L2 [ f(t) L/2 + A double-clamped polyethylene cantilever has...
x H Neutral Line Point A L2 [ f(t) L/2 + A double-clamped polyethylene cantilever has length L=5X cm and circular cross section H=4mm. An Impulse force f(t) = 1048(t) applied to the beam at point A. The maximum beam deflection Xmax (at point A) can be obtained from the equation Xmax 192E1 where fis the force, E=2GPa and is the cross-section moment of inertia. Assume the material has internal damping property and system damping ratio is 5 = 0.5....
Linear Algebra
1. Consider the following map T : R2 → R. Is T a linear transformation? Explain 2. Suppose that A is a 3 × 4 matrix. The following elementary row operation has the same effect as multiplying a matrix E on the left of A. What is that matrix E?
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.' Calculate: a. the yielding moment Mv 19 Marks b. the plastic moment Mp; 8 Marks] c. the shape factor f 3 Marks]
The T-section beam (single symmetry) represented in Figure 3 has cross sectional dimensions a-12 cm, b 1 5 cm. t# 3 cm, and is made of AISI 1018 steel.'...
15 marks] B. A toroidal core with a mean diameter of 200 mm and a cross-sectional area of 800 mm has an air gap of length 1.1 mm cut in it Fringing and leakage of flux around the air gap may be neglected (i) Determine the current required in a coil of 1100 turns to produce a flux density of 1 T The relative permeability , of the core material (iron) may be assumed to be 3000 for this level...
The high E-string of a steel string guitar is about L = 0.7m
long. It has a mass per unit length of p = 5.3 *10^-4 kg/m. Find
the tension T required to properly tune the string, given that a
high E has a frequency of f = 1318.51 hertz
(a) The high E-string of a steel string guitar is about L 0.7 m long. It has a mass per unit length of ρ= 5.3 x 10-4 kg/m. Find the...
Q.1 (a) Soil sample has been collected in a compacted embankment at a dry density (Pty) of 1950 kg/m, air void ratio (A.) of 15% and mass of solid (M.) of 3 kg. The value of G, is 2.7. Determine the following: O mass of water (MX) and total mass (M), (4 marks) (i) volume of air (V.), water (V.x) and solid (V.); (6 marks) (iii) void ratio (e), porosity (n), moisture content (w), and degree of saturation (S) and;...
1. If another group measured the density of a cube made out of the same material as you did, should they come out with the same density? Could you have measured the volume of your cube using volume displacement? 2. 3. Could you have measured the volume of your irregularly shaped object using an equation? If a substance has a density of 1.345 g/mL, how many grams would the substance weigh if the sample 4. has a volume of 22.1...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
Suppose that a rv Y has mgf m(t)- (a) 1-bt) Differentiate this mgf twice and thereby obtain the mean and variance of Y. [5 marksj] (b) Suppose m(t) is the mgf of a rv W. Let r(t) be the natural logarithm of m(t), ie·r(t) = login(1). Find r'() and r"(t), and express r'(0) and r"(0) in terms of EW and VarW. [5 marks] Use the result in (b) to find the mean (d) Find the mean and variance of the...
Two objects are sitting on a frictionless surface. Object 1 has mass mi, while object 2 has twice as large a mass, m2=2mı. You push with force F on object 1 for 3 s, and then push on object 2 for the same length of time with the same force F. A. After the push, what is the ratio of the momentum of object 2 to the momentum of object 1? Explain your answer. [5] a) 4/1 b) 2/1 c)...
x H Neutral Line Point A L2 [ f(t) L/2 + A double-clamped polyethylene cantilever has length L=5X cm and circular cross section H=4mm. An Impulse force f(t) = 1048(t) applied to the beam at point A. The maximum beam deflection Xmax (at point A) can be obtained from the equation Xmax 192E1 where fis the force, E=2GPa and is the cross-section moment of inertia. Assume the material has internal damping property and system damping ratio is 5 = 0.5....
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