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|    sci.physics.relativity    |    The theory of relativity    |    225,861 messages    |
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|    Message 225,383 of 225,861    |
|    Paul B. Andersen to All    |
|    Re: Galaxies don't fly apart because the    |
|    24 Jan 26 12:34:33    |
      From: relativity@paulba.no              Den 24.01.2026 07:51, skrev Maciej Woźniak:       > On 1/23/2026 8:32 PM, Paul B. Andersen wrote:       >> Den 22.01.2026 22:31, skrev Maciej Woźniak:       >>> On 1/22/2026 9:57 PM, Paul B. Andersen wrote:       >>>> Den 21.01.2026 16:11, skrev Maciej Woźniak:       >>>>> On 1/21/2026 3:31 PM, Paul B. Andersen wrote:       >>>>>>       >>>>>> You are swinging an object around you in a string.       >>>>>> Is the object accelerating towards you, or away       >>>>>> from you? Or is it not accelerating at all?       >>>>>       >>>>> Towards me.       >>>>       >>>> Right, well done.       >>>>       >>>> So you have understood that the object is accelerating       >>>> in the direction the force acting on it is pulling it.       >>>> This direction is along the string towards your hand.       >>>> The acceleration is:       >>>> a = F/m       >>>> where F is the tension in the string and m is the mass       >>>> of the object.       >>>>       >>>> Let us look at a concrete example.       >>>> The length of the string is L = 1.4142 m, and the mass m is 1 kg.       >>>> You swing the object such that it takes t = two seconds to make       >>>> a full turn.       >>>> You observe that the angle of the string to the ground is 45⁰.       >>>> That means that the radius of the circle the object is moving       >>>> along is:       >>>> r = L/√(2) = 1 m       >>>> It is then easy to calculate that the speed of the object is       >>>> v = 2⋅π⋅r/t = 3.14 m/s       >>>> The horizontal centripetal acceleration is:       >>>> aₕ = v²/r = 9.8 m/s² (towards centre of circle)       >>>> The horizontal component of the tension in the string is:       >>>> Fₕ = m⋅aₕ = 9.8 N       >>       >> The horizontal component of the force acting on the object is:       >> Fₕ = 9.8 N (constant towards centre of circle))       >>       >>>> Since the angle of the string to the ground is 45⁰, the vertical       >>>> component of of the tension in the string is:       >>>> Fᵥ = Fₕ       >>       >> The vertical component of the force acting on the object is:       >> Fᵥ = 9.8 N (constant upwards)       >       > So what?              Do you have a reading comprehension problem?              So according to Newton's law F = ma the acceleration       of the object is a = F/m = 9.8 m/s² (upwards)              >The vertical component of the velocity       > remains constant and 0. No vertical acceleration,       > sorry, poor trash.              I see. You think that if an object is stationary       in its rest frame, then its acceleration must be zero.              :-D              --       Paul              https://paulba.no/              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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