For g, can you explain how did they got Vr = Vc?
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A: we can use the properties of commutator brackets.
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- The dimensional formula for velocity is O [L^2T] O [L^-1T] O [LT] O [LT^-1]what is the equation for the density p(x,y,z) if the density at any point in G is equal to the point’s distance from the origin1 Replace the polar equation r= sin 0-4 cos 0 with an equivalent Cartesian equation. Then identify the graph. The equivalent Cartestian equation is y =
- Find the components of vtot along the x and y axes in Figure 3.25, where ? = 24.5° and vtot = 5.68 m/s.vtot, x = _______ m/s vtot, y =______m/sR = 2m 30 ≤ θ ≤ 90 30 ≤ φ ≤ 60 T =(R2)aR +(R)aθ + (cosφ)aφ Since it is in the normal +R direction on this surface, find the total circulation using the stokes theorem.The cables at A and B have velocities of 2 m/sec in the direction of arrows. Find the velocity of the crate (m). (6-STEP METHOD) VA = 2 mls 2 mls B (42-4,)
- Can you walk me through using STK to verify this result? I have STK 12 for referance.Use the chain rule for multivariable functions to find where ay f(u, v) = u + v, u(x, y, z) = x²+y, and v(x, y, z) = =-y %3DFind dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 3t, y = 2t dw dt Value t = 2 Evaluate dw/dt at the given value of t.
- F = (2x - y) i - yz² j - y²zk , surface 0S z for x2 + y2 + z? = 16 is the surface of the hemisphere. Show the validity of Stokes' theorem on this surface. Validity by calculation of both sides of the -frm (curl F) dS OF dr equation will be displayed. %3Da) Find the x−coordinate and y− coordinate of the point E=(x,y,−0.35m) on the line of action of F¯. x = ___m y = ___m b) If the x−component of F is known, and F=−104Ni+Fyj+Fzk, calculate the values of Fy and Fz. Fy = ___ N Fz = ___ N c) What will the equivalent force and couple moment at point A be for the force system consisting of your calculated force F in part (b) and the couple with moment M=860Nm? Answer the question by completing the statements. Equivalent force at point A = ( __ i + __ j + __?) k) N. Equivalent couple moment at point A = ( __ i + __ j + __k ) Nm. Part (d) is not related to Parts (a), (b) and (c); this question stands on its own. d) The line of action of the force F is set so that the moment of F about A is a maximum. If it is known that F=100Ni − 100Nj + vk , calculate the value of v. v = N Part (e) is not related to Parts (a), (b), (c) and (d); this question stands on its own. e) Let F=(150i−150j+100k)N. Calculate the…