Homework Answers
how do I solve these? Evaluate: -83 Evaluate: 362 5. Simplify: (x)*
how do I solve these?
Evaluate: -83 Evaluate: 362 5. Simplify: (x)*
1. A particle of mass m moves in three dimensions, and has position r(t)-(x(t), y(t), z(t)) at ti...
Mechanics. Need help with c) and d)
1. A particle of mass m moves in three dimensions, and has position r(t)-(x(t), y(t), z(t)) at time t. The particle has potential energy V(x, y, 2) so that its Lagrangian is given by where i d/dt, dy/dt, dz/dt (a) Writing q(q2.93)-(r, y, z) and denoting by p (p,P2, ps) their associated canonical momenta, show that the Hamiltonian is given by (show it from first principles rather than using the energy) H(q,p)H(g1, 92,9q3,...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we c...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
Consider electromagnetic waves in free space of the form Ē(x,y,z,t)= Ē. (x, y )e i kz-ot)...
Consider electromagnetic waves in free space of the form Ē(x,y,z,t)= Ē. (x, y )e i kz-ot) B(x, y, z,t)= B. (x, y )ek-et) where Ē. (x,y) and B. (x,y) lie in the x-y plane (no z-component). (a) Use Maxwell's equations to find the relationship between k and o. (b) Show that Ē.(x,y) and B. (x,y) satisfy the electrostatic/magnetostatic version of Maxwell's equations. Hint: It may be helpful to break up the curl into components.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
Simplify the following expressions as much as possible 100 200 m. i2 log(i + i'), log(i + i*) + i-101 k-1 l-25 50 50 50-t1 t-0 t-o Simplify the following expressions as much as possible 100...
Simplify the following expressions as much as possible 100 200 m. i2 log(i + i'), log(i + i*) + i-101 k-1 l-25 50 50 50-t1 t-0 t-o
Simplify the following expressions as much as possible 100 200 m. i2 log(i + i'), log(i + i*) + i-101 k-1 l-25 50 50 50-t1 t-0 t-o
RA hing LB R M + LA +L 81 i Assume that vgi(t) = 12 cos(at...
RA hing LB R M + LA +L 81 i Assume that vgi(t) = 12 cos(at – 30°) mV, igz(t) = 2 cos(ot – 45°)ŅA, R2 = 2 kN, 0C = 1 ms, R2 = 3 k12, R2 = 2 k12, OLA = 2 k12, oLg = 2 k12, and oM =1k12. Solve for v.(t).
In the following Venn diagram, calculate the values of x,y,z andt. 2.3 U-t M 50 3...
In the following Venn diagram, calculate the values of x,y,z andt. 2.3 U-t M 50 3 xty 8 4 14 N=60
Previous Answers The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the equation t (kz2) N - m/m, where z is in meters. A torque of T -50 N...
Previous Answers The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the equation t (kz2) N - m/m, where z is in meters. A torque of T -50 N m is applied to the bolt head. Assume the shank has a constant radius of 7 mm. The shear modulus of elasticity for A-36 steel is 75 GPa. (Figure 1) Correct Part B Determine the amount of twist...
4. Suppose that M C z2 is a non-zero Z-submodule. For each statement below, decide whether i t is...
4. Suppose that M C z2 is a non-zero Z-submodule. For each statement below, decide whether i t is TRUE or FALSE and explain your choice. If you use a theorem, clearly state the theorem and why any required hypotheses are satisfied. If you claim a statement is false, provide a counter-example. a. M is a free module. (b) If M happens to be a free Z-module of rank 2, then M -Z2
4. Suppose that M C z2 is...
how do I solve these?
Evaluate: -83 Evaluate: 362 5. Simplify: (x)*
Mechanics. Need help with c) and d)
1. A particle of mass m moves in three dimensions, and has position r(t)-(x(t), y(t), z(t)) at time t. The particle has potential energy V(x, y, 2) so that its Lagrangian is given by where i d/dt, dy/dt, dz/dt (a) Writing q(q2.93)-(r, y, z) and denoting by p (p,P2, ps) their associated canonical momenta, show that the Hamiltonian is given by (show it from first principles rather than using the energy) H(q,p)H(g1, 92,9q3,...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
Consider electromagnetic waves in free space of the form Ē(x,y,z,t)= Ē. (x, y )e i kz-ot) B(x, y, z,t)= B. (x, y )ek-et) where Ē. (x,y) and B. (x,y) lie in the x-y plane (no z-component). (a) Use Maxwell's equations to find the relationship between k and o. (b) Show that Ē.(x,y) and B. (x,y) satisfy the electrostatic/magnetostatic version of Maxwell's equations. Hint: It may be helpful to break up the curl into components.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
Simplify the following expressions as much as possible 100 200 m. i2 log(i + i'), log(i + i*) + i-101 k-1 l-25 50 50 50-t1 t-0 t-o
Simplify the following expressions as much as possible 100 200 m. i2 log(i + i'), log(i + i*) + i-101 k-1 l-25 50 50 50-t1 t-0 t-o
RA hing LB R M + LA +L 81 i Assume that vgi(t) = 12 cos(at – 30°) mV, igz(t) = 2 cos(ot – 45°)ŅA, R2 = 2 kN, 0C = 1 ms, R2 = 3 k12, R2 = 2 k12, OLA = 2 k12, oLg = 2 k12, and oM =1k12. Solve for v.(t).
In the following Venn diagram, calculate the values of x,y,z andt. 2.3 U-t M 50 3 xty 8 4 14 N=60
Previous Answers The A-36 steel bolt is tightened within a hole so that the reactive torque on the shank AB can be expressed by the equation t (kz2) N - m/m, where z is in meters. A torque of T -50 N m is applied to the bolt head. Assume the shank has a constant radius of 7 mm. The shear modulus of elasticity for A-36 steel is 75 GPa. (Figure 1) Correct Part B Determine the amount of twist...
4. Suppose that M C z2 is a non-zero Z-submodule. For each statement below, decide whether i t is TRUE or FALSE and explain your choice. If you use a theorem, clearly state the theorem and why any required hypotheses are satisfied. If you claim a statement is false, provide a counter-example. a. M is a free module. (b) If M happens to be a free Z-module of rank 2, then M -Z2
4. Suppose that M C z2 is...
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