Answered: front and rear wheels. There is a loss…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section8.2: Rotational Dynamics

Problem 35SSC

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Question

A mountain biker tries to start pedalling in the mud. The total mass (80 kg, bike + biker) is distributed equally between the front and rear wheels. There is a loss of 10% of moment of force between pedal and the rear wheel. The diameter of wheels is 70 cm, and the static friction coefficient between tyre and the mud is 0.3. The pedal angle is 25° from the vertical and has a length of 20 cm. The force exerted by the cyclist is vertical. What is the maximal force that the biker can produce without skidding?
Hint 1: Image
Hint 2: the value of Mp, the moment around the pedals, is about 50 Nm.

Hint 1:
moment
to give
(step 2)
a force
Step 3 what moment (Mp)
around pedals if
10% loss gives Mw?
For step 1
1)
Copposing slippage
of the wheel)
FN
(normal force
Ne: total normal
force is opposite
to weight force)
step 4 zoom in on
pedals: Faydint
-25*
5
what is Fagdist to
give Mp? What is
moment arm?

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