1. 200W 1500 pro 150W R = ? IR = ? x = ? 2. Given A(2, -3,1), B(0, 0, 2)) and ((2, 2, 0), find OB.
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- Hi I am looking for help with e, f, and g, thank you.A.) i. Define the plane polar unit vectors ŕ and 0 and show that they are orthonormal. Determine dr dê and de de ii. Hence show that for the vector r(t) = r(t)ŕ dr · = rî +rðê, d²r and = - dt dt² († − rė²)ŕ + (2ŕė +rë)ê . iii. If a mass m moves in the plane along r(t) = a and (t) = 5t determine the shape of the motion and find its period. B) Show that the motion of an object under the universal gravitational force μη Fg is governed by the radial and angular equations of motion and μ = 0, 2r0+ rö = 0. Setting r(t) =R for some constant R, solve these equations of motion and determine the period of the motion. C) Consider the following non-linear differential equation *+5= x +4. Find the stationary solutions. Expand around each of the stationary so- lutions that you have found, in order to determine if they correspond to stable or unstable equilibria. D) Show that 1 5 E = 2 - 4x is a conserved quantity. Hence draw the phase-space diagram and de- termine for which values of E oscilations…Is my work good for 19 b)? I am not sure if it makes sense to do it this way please let me know :) the answer should be around 1.1 kN
- CLO 4 If the plane x+y+z-1=0 cuts the x-axis, y-axis, and z-axis at A, B, and C respectively. Find the perpendicular distance to the point P(2,6,9). В а. 9.24 b. 8.66 С. 9.81 d. None of the choices О е. 5.33 f. 5.67 N.Consider the following 3 planar circles with identical mass density per unit area of a. One of the circles is put between and above the other 2 identical circles (radius R). The radii of contact points betwoen the upper cirele and the lower cireles make an angle 0 with the horizontal. Ignoring all the frictions, what is the horizontal force, F, on each side of the lower circle in order to keep them stationary?K conditions 2 is 2.00 and K condition 1 is 1.88. Why should K condition 1 and 2 should be the same?
- he veclor equal to -4? 4/Youtaravel northeast Ci.e 45) at 2.0mls for 10s, Then travel Southeast Ci.e, at -450) at tHe sane speed vel for 20s. What 1 Your final poSítion relative to 5) lalso called thedot He tao vertors F=2i+8; and What is the scalar product (t)^pid OF. ー2ペ+399 6 What is te smailange vectors A-3i+4 and B= -59+123? betweenthetusA 0.500 kg block is sitting on a horizontal, frictionless surface. The block is connected to a horizontal spring with a force constant of 124 N/m. The other end of the horizontal spring rests against a wall. When a 100.0 g arrow is fired into the wooden block, the spring compresses by 25 cm. (a) What is the maximum potential energy of the spring? (b) What was the speed of the arrow and block just after collision?(c) What was the initial kinetic energy of the arrow?(d) Explain any difference between (a) and (c).Elliptical cylindrical (EC) coordinates are defined by the variables u, v and z, with aconstant a, in terms of Cartesian coordinates as follows:x = a cosh u cos v ;y = a sinh u sin v ; (75)z = z .a. Find the EC metric.b. Describe surfaces of constant u, v and z for various values of the constant a.c. Find the EC basis vectors for arbitrary a.d. Make vector field plots of the EC basis vectors in the x-y plane.e. Find the incremental area and volume expressions.f. Express the gradient, divergence, curl and Laplacian operators in EC coordinates.