A point moves along the intersection of the elliptic paraboloid z = 9x + 4y and the plane y = 4. At what rate is z changing with respect to x when the point is at (5, 4, 289)? Rate = i
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Q: X1(t) = 50 Cos(2πt) X2(t) = 175 Cos(0.8πt) X3(t) = 30 Sin(8.78πt) X4(t) = 225 Cos(πt/7) X(t) = ?…
A: given; X1(t) = 50 Cos(2πt)X2(t) = 175 Cos(0.8πt)X3(t) = 30 Sin(8.78πt)X4(t) = 225 Cos(πt/7) X(t) = ?…
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- A rod assembly rotates around the z-axis. The mass C is 10 kg and its initial velocity is 7 m/s. A moment and force both acts as shown in the figure where M = 8t2+5 N.m and F = 60 N. Find the velocity of mass C after 2 seconds.Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, −2.4, 2.1), Q(1.8, 0.3, 2.1) vector equationr(t)= parametric equations (x(t), y(t), z(t)) =A point P is located at (0 0 100) in a body coordinate frame. If the rigid body rotates 60deg about the global X-axis and the origin of the body translates to (X, Y, Z)=(500, 0 600), find the final position (X2, Y2, Z2) in the Global frame by using 4X4 matrix.
- 3 points are plotted in the x, y, & z-plane as follows: A(-1,0,3); B(4, 2, 0); C(0,-1,-1). Establish a position vector from point B to point A. Please include a free-body diagram if possible. Choices are as follows: a) 0.81i + 0.32j - 0.49kb) 0.78i + 0.59j - 0.20kc) 0.24i - 0.24j - 0.94kd) 0.81i + 0.32j + 0.49ke) 0.81i - 0.32j + 0.49kf) 0.24i + 0.24j + 0.94kg) 0.78i - 0.59j - 0.20kh) 0.81i - 0.32j - 0.49ki) 0.78i + 0.59j + 0.20kj) 0.78i - 0.59j + 0.20kk) 0.24i - 0.24j + 0.94kl) 0.24i + 0.24j - 0.94k1) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L)where Jo is a constant.The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0 Find Φ(z) and graph (1/GJo)Φ(Z), and (1/GJo)(dΦ(Z)/dz) ?X1(t) = 50 Cos(2πt) X2(t) = 175 Cos(0.8πt) X3(t) = 30 Sin(8.78πt) X4(t) = 225 Cos(πt/7) X(t) = ? Find The Sum Of Vibration Vectors Given
- Find the scalar x- and y-components of the following displacements in the xy-plane: (a) 300 cm at 127° and （b) 500 cm at 220°.As in the figure, in an amusement vehicle rotating in the amusement park, the center shaft rotates at a speed of n=7 rpm. Meanwhile, the child is moved with the position equations r = (2 sinθ + 5) m and z = (3 cosθ) m. Find the forces generated in the child in all three axes (r, θ, z). The weight of the child is m = 34 kg. At the time the photo was taken, θ=123 degrees.5. Explain the following motion for Planar Kinematics of Rigid Bodies a) Translation b) Rotation c) General Motion
- As shown, a 2.7-lblb ball is suspended at point D inside a box with dimensions w=8.90 ft, ft, d=6.50ft . The ball is held in place by three cables anchored at points A, B, and C on the surface of the box. point D is the origin of the Cartesian coordinate system, point A is located at (−4.60,−3.60,2.80)ft, point B is located at (1.90,−3.60,1.90) ft, and point C is located at (1.90,5.30,−1.70) ft. 1.The tension in cable DA has a magnitude of TDA lb. Find the Cartesian components of tension TDA , which is directed from D to A. 2.If the tensions in cables DA and DB are TDA =7.23 lb and TDB =5.20 lb, respectively, what is the tension in cable DC?As shown in the figure below two boats are traveling in circular paths. Boat A is traveling at a constant vA = 19m/s and Boat B is traveling at a constant vB = 17m/s but in the opposite direction. Radius of Curvature for boat A is ρA = 199m, and for boat B is ρB = 110m. Find the e^tA component of v¯B/A in m/s: Find the e^nA component of v¯B/A in m/s: Find the e^tA component of a¯B/A in m/s^2: Find the e^nA component of a¯B/A in m/s^2: (Remember: Boat A is traveling at a constant vA = 19m/s and Boat B is traveling at a constant vB = 17m/s but in the opposite direction. Radius of Curvature for boat A is ρA = 199m, and for boat B is ρB = 110m) e^nA=−e^nB at this moment Select one: True False4) As in the figure, in an amusement vehicle rotating in the amusement park, the center shaft rotates at a speed of n=7 rpm. Meanwhile, the child is moved with the position equations r = (2 sinθ + 5) m and z = (3 cosθ) m. Find the forces generated in the child in all three axes (r, θ, z). The weight of the child is m = 39 kg. It was θ=122 degrees at the time the photo was taken.