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2nd Law rolling objects, Cheat Sheet of Physics

Physics

Practice problems to help with studying

Typology: Cheat Sheet

2025/2026

Uploaded on 03/03/2026

nicholas-jones-3
nicholas-jones-3 🇺🇸

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NEWTON’S 2nd LAW
(ROLLING OBJECTS)
1. A disc of mass M = 4 kg and radius R = 0.30 meters rolls without sliding down an incline that
makes an angle Q = 30° with horizontal as shown. The length of the incline is d = 4.0 meters and
the coefficient of static friction is .8.
Draw a free body diagram on the disc. Be sure to draw the forces where they act.
2. What force causes the disc to rotate?
3. SFy
4. SFx
5. Stcw
6. Can we set Ff = µ FN? Why or why not?
7. Define and substitute the moment of inertia of a disc in terms of its mass and radius; and the
angular acceleration in terms of the tangential acceleration.
8. Calculate the linear velocity, v with which it leaves the ramp.
Q
pf2

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NEWTON’S 2nd^ LAW (ROLLING OBJECTS)

  1. A disc of mass M = 4 kg and radius R = 0.30 meters rolls without sliding down an incline that makes an angle Q = 30° with horizontal as shown. The length of the incline is d = 4.0 meters and the coefficient of static friction is .8. Draw a free body diagram on the disc. Be sure to draw the forces where they act.
  2. What force causes the disc to rotate?
  3. SFy
  4. SFx

5. Stcw

  1. Can we set Ff = μ FN? Why or why not?
  2. Define and substitute the moment of inertia of a disc in terms of its mass and radius; and the angular acceleration in terms of the tangential acceleration.
  3. Calculate the linear velocity, v with which it leaves the ramp.

Q

  1. What is the steepest angle that the incline can be raised to such that the disc rolls without sliding? Give the expression for the steepest angle that the incline can be raised to in terms of any of the relevant defined variables and fundamental constants along with the names of 3 group members for the steepest to which the incline can be raised such that the disc rolls without sliding.