The beam of the figure is embedded in the left end, supported on the right and subjected to a torque of Mo as shown. Determine the reaction in the right support. b. M. Sol. 3 Mala + 25) 21a + hp
Let R be a ring and let S {(r, r) : r E R). In the last homework it was shown that S is a subring of R × R. Let's prove that R and S are somorphic rings Consider the map f : R → S by f(r) = (r, r) First note that f is a one-to-one correspondence because for (r,r) E R, there is exactly one element, namely of R, with(r,r) Next we show that f preserves...
AAA +q +q +q r r r r r C +q r r +q q r positive to more negative 12. Rank the electric potential energy that eachpne of the arrangements have, from more UE(A)> U (B)> Up(C)> Up(D) c. Up(A)>U(B) = U,(C)> U,(D) e. Up(A)>UE(D)> U,(C)= U,(B) b. U(B) U(C)>Up(4) = U, (D) d. U(A) U(D)> U, (C) = U, (B) a.
Find B(r) for r < or = a r > or = a < or = 2a r > 2a Where B is the magnetic field, r is the radial distance, and a is the amperes. I is induction. Answer the questions qualitatively in finding B(r), the magnitude of the magnetic field given r. http://i.imgur.com/Go9xonf.jpg?1
What is the product of the following reaction? R-CX=CX-R 1? A) R-CHX-CHX-R B) R-CX2-CH2-R C) R-CX,CX2-R
R × R | x < y} . This means that R 10. Let R< = {(x, y) relation on R. is the "less than" 95 (a) What is the domain of the relation R<? (b) What is the range of the relation R<? (c) Is the relation R a function from R to R? Explai. Note: Remember that a relation is a set. Consequently, we can talk about one relation being a subset of another relation. Another thing to...
Prove the result (for a general vector r, vector r') \(del_r (e^{ikR}/R) = -vector (R)/R^{3} *e^{ikR} + ikvector(R)e^{ikR}/R^{2}\) where vector R = r-r', R = |R| and del_r denotes gradient with respect to r.
Prove ▽f(r) = (f,(r)/r)r, where r = Vx2 + y2 + ~2 and f'(r)-df/dr is assum ed to exist.
Problem 6. (20 pts.) Let R = R\{0, 1,2) = {r€R ]r#0,1,2} be the set of all real numbers except 0,1,2. Let G be a subgroup of the group of bijective functions Describe all elements of G and construct the Cayley diagram for G. What familiar group is G isomorphic to (construct the isomorphism erplicitly)? R, PR, generated by f(r) 2-r and g(z) 2/ . on Problem 6. (20 pts.) Let R = R\{0, 1,2) = {r€R ]r#0,1,2} be the...
Show that R(r) is a solution of the following differential equation for l = 1, R(r) = (r/ao) * e-r/2ao. What is the eigenvalue? Using this result, calculate the value of the principal quantum number (n) for this function. h21(L+1) 2mer2 h2 e2 d dR(r) ]R(r) 4περr ER(r) 2mer2 dr dr