quation of mot
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Q: M x= -G +G M x2 (x — L)²' -
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Derive Euler equation of motion under negligible body force.
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- Compute the ratios of the intial velocities values below when final velocity is near zero with error of velocity ± 0.01m/s and weight 0.1g. Mass1: 195.2g ± 0.1g Mass2: 182.8 g ± 0.1g M1 Intial Velocity 0.32m/s Final -0.4m/s M2 Intial Velocity 0.43m/s Final Velocty -0.4m/sConsider the “Foucault pendulum”, as shown below. Foucault set up his 1851 spherical pendulum (of mass m and length L) experiment in the Pantheon dome of Paris, showing that the plane of oscillation rotates and takes about 1.3 days to fully revolve around. This demonstrated the extent to which Earth’s surface is not an inertial reference frame (e.g., role of the Coriolis force). Your task here is to determine (but not solve) the equations of motion.Compute for the mass of an the mystery box. Given: vi=0m/s Vf= 40m/s Time: 19.08 seconds
- This would be all of g. how do you get just the z component of the gravitational fieldThe free-fall acceleration on the surface of Jupiter is about two and one half times that on the surface of the Earth. The radius of Jupiter is about 11.0 RE (RE= Earth's radius = 6.4 x 106 m). Find the ratio of their average densities, Pjupiter/PEarth-Prove that there is no work done by the Coriolis pseudoforce acting on a particle moving in a rotating frame. If the Coriolis pseudoforce were the only force acting on a particle, what could you conclude about the particle’s speed in the rotating frame?
- Suppose there is a correction term to Newton's law of universal gravitation where the letters have their usual meaning and are given in SI units and, in particular, r is the separation distance between the two masses m1 and m2 and A is some new constant of nature. Find the units of this constant A.Given the time series below. Which of these can be interpreted as a generic chaotic trajectory of some dynamical system? 1) Acos(b sin(t)) 2) A1cos(f1t)+A2sin(f2t) 3) Acos(at2 +b) 4) Atang[at/(1+t)]