ToughSTEM
Sign Up
Log In
ToughSTEM
A question answer community on a mission
to share Solutions for all STEM major Problems.
Cant find a problem on ToughSTEM?
0
A bicycle wheel has radius R = 32.0 cm and mass M = 1.82 kg which you may assume to be concentrated on the outside radius. A resistive force f = 100 N (due to friction with the ground) is applied to the rim of the tire.  A force F is applied to the sprocket at radius r by the bicycle chain such that the wheel has an angular acceleration of alpha(a) = 4.50 rad/s2. The tire does not slip with the ground, and the lower part of the chain (not shown) exerts no force.

What is the combined mass of the bicycle and rider?

Hint: The force F also acts on the front sprocket of the bicycle.
Edit
Added Fri, 03 Jul '15
Community
1
Comment
Add a Comment
Solutions
0
You know the angular acceleration of the wheels so you also know the linear acceleration of the bike
= ang accel x 0.32 ( the radius of the wheel ) = 4.50 x 0.32 = 14.4 m/s2

The friction force is the forward driving force , operating on the mass of the bike and rider
F = ma
m = F/a = 100/14.4 = 6.944
Edit
Added Fri, 03 Jul '15
Community
1
Comment
Add a Comment
Add Your Solution!
Close

Click here to
Choose An Image
or
Get image from URL
GO
Close
Back
Add Image
Close
What URL would you like to link?
GO
α
β
γ
δ
ϵ
ε
η
ϑ
λ
μ
π
ρ
σ
τ
φ
ψ
ω
Γ
Δ
Θ
Λ
Π
Σ
Φ
Ω
Copied to Clipboard

Add Your Solution
Sign Up
to interact with the community. (That's part of how we ensure only good content gets on ToughSTEM)
OR
OR
ToughSTEM is completely free, and its staying that way. Students pay way too much already.
Almost done!
Please check your email to finish creating your account!
Welcome to the Club!
Choose a new Display Name
Only letters, numbers, spaces, dashes, and underscores, are allowed. Can not be blank.
Great! You're all set, .
A question answer community on a mission
to share Solutions for all STEM major Problems.
Why
The Purpose
How
The Community
Give Feedback
Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.