Find the principal moments of inertia about the centre of mass of a flat rigid body in the shape of an isosceles right angled triangle. What are the principal axes of inertia.
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- Find parametrizations The portion of the hemisphere x2 + y2 + z2 = 10, y>= 0, in the first octantSOLVE STEP BY STEP IN DIGITAL FORMAT Find the moment of inertia with respect to its axis of the solid generated in the rotation of the flat area delimited by the curve 4x^2 +9y^2 =36 around the x axisThe figure shows the side view of a portable traffic signal. The upper portion of the signal with attached frame has a mass of 90 kg with mass center at G. The signal and frame are hinged at point E and rest on a vertical post at H. In operation, member DEH is positioned vertically by means of the hand-operated winch so that the lights are directed to the left. Determine the necessary input force F that will just start to rotate the signal from its horizontal position. Note that handle A is rigidly attached to gear B. The dimension (AB) ̅=200 mm.
- Consider the motion of a soccer ball that is kicked from the point x0,y0=⟨0,0⟩ with an initial velocity of u0,v0=⟨35,9⟩ m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. Determine the maximum height of the soccer ball.find a parametrization of the surface Circular cylinder band The portion of the cylinder (x - 2)2 +z2 = 4 between the planes y = 0 and y = 3find a parametrization of the surface Circular cylinder band The portion of the cylinder y2 +(z - 5)2 = 25 between the planes x = 0 and x = 10