A person is riding a unicycle (a one wheeled bicycle) when she pushes the pedal of the unicycle down vertically with a force Fo and accelerates to the right. The mass of the person and unicycle is 4M, the radius of the unicycle wheel is 5R and the length of the pedal lever is 3R. The moment of inertia of the unicycle wheel (and pedal) is 20MR2. a. Draw the extended free body diagram showing the +y forces acting on the unicycle/rider. b. Write out Newton's 2nd law in the x and y directions in terms of the forces and givens. Be careful to use the correct mass in the "ma". > +x X: y: c. Write the rotational form of the 2nd law for the wheel (with pedal). Choose the + rotation direction to be in the
A person is riding a unicycle (a one wheeled bicycle) when she pushes the pedal of the unicycle down vertically with a force Fo and accelerates to the right. The mass of the person and unicycle is 4M, the radius of the unicycle wheel is 5R and the length of the pedal lever is 3R. The moment of inertia of the unicycle wheel (and pedal) is 20MR2. a. Draw the extended free body diagram showing the +y forces acting on the unicycle/rider. b. Write out Newton's 2nd law in the x and y directions in terms of the forces and givens. Be careful to use the correct mass in the "ma". > +x X: y: c. Write the rotational form of the 2nd law for the wheel (with pedal). Choose the + rotation direction to be in the
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Transcribed Image Text:1. A person is riding a unicycle (a one wheeled bicycle)
when she pushes the pedal of the unicycle down
vertically with a force F, and accelerates to the
right. The mass of the person and unicycle is 4M,
the radius of the unicycle wheel is 5R and the length
of the pedal lever is 3R. The moment of inertia of
the unicycle wheel (and pedal) is 20MR?.
a. Draw the extended free body diagram showing the
forces acting on the unicycle/rider.
+y
b. Write out Newton's 2nd law in the x and y directions
in terms of the forces and givens. Be careful to use
+x
the correct mass in the "ma".
X:
y:.
c. Write the rotational form of the 2nd law for the wheel (with pedal). Choose the + rotation direction to be in the
direction of the angular acceleration.
Er = I a:
d. Determine the angular acceleration of wheel. Comment: be careful to use the correct "r" when applying the
relation a = r a".
e. What is the coefficient of static friction if this is the maximum force she can apply before the wheels begin to
slip?
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