- Joined
- 10 Dec 06
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04 Mar 10
2 edits
I'm just stuck on a problem
the problem is asking for the power supplied by the motor at a certain time t.
The force the motor supplies is a function of time
F = F(t)
and
P = Fv
am I in the right ballpark for logic
F(t) = ma
a = F(t)/m = dv/dt
v= Int[(F(t)/m)dt] = v(t)
Then P(t) = v(t)* F(t)
??
The problem incorporates some pulleys and friction, but I didn't want to go into that if my logic is flawed from the get go.
- Joined
- 10 Dec 06
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05 Mar 10
Originally posted by AThousandYoungok
You should offer up the problem.
Are you trying to determine power as a function of time given that you know the force as a function of time?
a crate has a mass of 210 kg and rests on a(horizontal) surface for which the coefficients of static "s", and kinetic friction"k" are 0.4 & 0.3 respectivley
If the motor M supplies a cable force of F = (8t^2 + 20)N , where t is in seconds, determine the power output developed by the motor when t = 7 s.
This part you'll have to take my word
let +x axis be to the left
The FBD
3T to the left (because of mechanical advantage of pulleys) and Friction force to right.
sum Fy is not needed except for detrermination of Friction force which is just c(Fw)
c stands for coefficient, and Fw force weight.
there it is.
06 Mar 10
Originally posted by joe shmoThat looks the right approach to me.
am I in the right ballpark for logic
F(t) = ma
a = F(t)/m = dv/dt
v= Int[(F(t)/m)dt] = v(t)
Then P(t) = v(t)* F(t)
You'll have to factor in the fact that the initial force isn't enough to overcome friction, so work out the time where the mass will start moving first. But then what you're doing here should work.