Equations of motion

  • #1
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The problem is to determine the equation of motion for a point particle on which both the gravitational force and a friction force of magnitude
[tex]|\vec{F}_fr| = k|\vec{v}|[/tex]
act and to show that when the particle starts at rest, its velocity cannot exceed mg/k.
I have attached my calculations but something is wrong. The velocity cannot increase when the incline is almost flat..?
 
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Answers and Replies

  • #2
quasar987
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Incline? You can't be on an incline since additionally, there is a normal force. The problem makes no mention of such thing.

Just solve the equation of motion for F=Fgrav-kv. Plug in the initial value v0=0 and show that v(t) is a monotonous function that converge assymptotically towards mg/k as t-->+infty.
 
  • #3
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Of course. Thanks :)
 

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