What is Rotational dynamics: Definition and 271 Discussions

Rotation around a fixed axis is a special case of rotational motion. The fixed-axis hypothesis excludes the possibility of an axis changing its orientation and cannot describe such phenomena as wobbling or precession. According to Euler's rotation theorem, simultaneous rotation along a number of stationary axes at the same time is impossible; if two rotations are forced at the same time, a new axis of rotation will appear.
This article assumes that the rotation is also stable, such that no torque is required to keep it going. The kinematics and dynamics of rotation around a fixed axis of a rigid body are mathematically much simpler than those for free rotation of a rigid body; they are entirely analogous to those of linear motion along a single fixed direction, which is not true for free rotation of a rigid body. The expressions for the kinetic energy of the object, and for the forces on the parts of the object, are also simpler for rotation around a fixed axis, than for general rotational motion. For these reasons, rotation around a fixed axis is typically taught in introductory physics courses after students have mastered linear motion; the full generality of rotational motion is not usually taught in introductory physics classes.

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  1. T

    What is the torque exerted by the flywheel on the machine?

    Homework Statement Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. An industrial flywheel has a 2.0 m diameter and a mass of 260 kg . Its maximum angular velocity...
  2. J

    How Do Friction and Force Affect the Angular Velocity of Connected Wheels?

    Homework Statement A uniform cylindrical wheel of mass ##m_{1}## and radius ##R_{1}## rotates with angular velocity ##\omega_{1}##. It lies a certain distance (along the same axis) from a static wheel of radius ##R_{2}## and mass ##m_{2}##. The wheels are then pushed against each other with a...
  3. A

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  4. J

    Rotational Momentum: Calculating Angular Speed After Cockroach Stops

    Homework Statement A Texas cockroach of mass 0.17 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has radius 15 cm,rotational inertia 4.9 ✕ 10^−3 kg · m2, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.0...
  5. V

    How long would it take to stop the rotation of the Earth?

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  6. D

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  7. P

    I Free Precession animation - body frame to space frame

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  8. J

    Which sphere reaches the bottom of the inclined plane first

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  9. Elvis 123456789

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  10. Alexander350

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  11. lc99

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  12. Hamza Qayyum

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  13. K

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  14. K

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  15. H

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  16. A

    Rotational Dynamics of a Grindstone

    Homework Statement A grindstone is used to sharpen knives and consists of a stone cylinder and a central axle There are bearings between the axle and the frame to reduce any friction. This grindstone has a mass of 60 kg, a diameter of 0.600 m and has a moment of Inertia (I) of 4.50 kg.m2 ...
  17. SciencyBoi

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  18. K

    Can yaw motion still occur in a quadcopter in vacuum?

    So I recently developed an interest in quad-rotors and was getting stated with its dynamics. I am particularly intrigued by the yaw motion of a quad-copter which comes into effect as a result of torques of the motors. When the motor torques are variable, we observe the yaw motion as result of a...
  19. W

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  20. T

    Statics and Rotational Dynamics

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  21. Alettix

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  22. Toby_phys

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  23. X

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  24. Y

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    Homework Statement A tangential force F acts at the top of a thin spherical shell of mass m and radius R. Find the acceleration of the shell if it rolls without slipping. Homework Equations Since the shell is rolling, friction does not act at the bottom. So equating the torque, F*R= I*α The...
  25. J

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  26. H

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  27. 1

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  28. ikihi

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  29. C

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  30. A

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  31. A

    Is the Proof Behind Choosing Any Point on an Axis to Calculate Torque?

    I know that to calculate the torque about an axis, we can choose any point on that axis and find the torque about that point and take the component along the direction of the axis.Buy what is the proof behind this theorem?
  32. M

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  33. L

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  34. Clara Chung

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  35. Sahil Kukreja

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  36. F

    [Rotational dynamics] cube sliding on a dish

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  37. V

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  38. V

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  39. Narwhalest

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  40. S

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  41. S

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  42. A

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  43. A

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  44. REVIANNA

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  45. A

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  46. **Mariam**

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  47. faradayscat

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  48. Dusty912

    How do I solve for rotational dynamics using Newton's second law?

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  49. B

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  50. D

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