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Snowball problem

  • Thread starter sheelbe999
  • Start date
  • #1
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Homework Statement


"A snowball, initially of mass m, slides down a slope inclined at an angle φ with
respect to the horizontal. As it moves, the mass of additional snow Δm = αx that it
accumulates is proportional to the distance travelled x. Write the differential equation
of translational motion for the snowball, ignoring rotation and friction. [6]"

I was sure mass was irrelevant in this situation? But judging by the question its not. Could anyone help me out?


Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
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6
As always, I'd begin by drawing a picture; what Force(s) act on the snowball, and which direction do they point?
 
  • #3
6
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F=d(mv)/dt
F=v dm/dt + m dv/dt

m=m+ax
dm/dt=av

F=mg sin(*)

mg sin(*)=m dv/dt + a v^2
 

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