Coin w/ diameter of 2.04 cm rolls UP?

Question

a 74.7 degree inclined plane. The coin starts with an initial angular speed of 56.2 rad/s and rolls in a straight line witout slipping. How far does the coin roll up the inclined plane (in units of m)? Acceleration of gravigy is 9.81 m/s^2.

Answer 1

Equate Kinetic and Potential energies

K (Rot) + K (Linear) = mgh

or (0.0204*56.2)^2/4 + (56.2*0.0204)^2/2 = 9.81 * h

or h = 0.1 m

So, l = 0.1/sin(74.7) = 0.104 m

Answer 2

9.81 x 56.2 x 74.7cos


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