A cyclist moving on a level road

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Homework Help Overview

The problem involves a cyclist moving on a level road who stops pedaling, leading to the wheels coming to rest. The retardation of the cycle is described by two components: a constant value due to friction and a velocity-dependent resistance. The context suggests a focus on differential equations related to motion and deceleration.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formulation of a differential equation to describe the motion, questioning how to express the total retardation as a function of velocity. There are attempts to rewrite the equation and integrate it, with some participants expressing uncertainty about solving the differential equation.

Discussion Status

The discussion reflects a progression where participants are exploring the formulation of the problem and the necessary mathematical steps. Some guidance has been offered regarding the structure of the differential equation, but there is no clear consensus on the next steps or resolution of the problem.

Contextual Notes

Participants are reminded of forum rules requiring them to demonstrate more effort before receiving assistance, indicating a focus on individual problem-solving efforts.

norhh
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Homework Statement



a cyclist is moving on a level road at 4m/s stops pedaling and let's the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)

2. Homework Equations



The Attempt at a Solution

 
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norhh said:

Homework Statement



a cyclist is moving on a level road at 4m/s stops pedaling and let's the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)

You understand that this is a differential equation right. You need to write an equation in the form:

\frac{dv}{dt} = -f(v)
Are you able to write this equation? This is your starting point.BTW. f(v) here is the total retardation as a function of velocity.
 
yes after that i do not know what to do
 
norhh said:
yes after that i do not know what to do

Rewrite it as:

\frac{dt}{dv} = \frac{-1}{f(v)}

and integrate.
 
norhh said:
yes after that i do not know what to do

Are you saying you do not know how to solve a differential equation?

RGV
 
norhh said:

Homework Statement



a cyclist is moving on a level road at 4m/s stops pedaling and let's the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)

2. Homework Equations



The Attempt at a Solution



norhh said:
yes after that i do not know what to do
Per the forum rules, you need to show more effort to receive help here.
 
finally got it thanks
 

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