Problem 9.6 Consider an object initially at rest that begins a uniform rotational motion with constant angular acceleration in the xy-plane about a fixed axis that is perpendicular to the xy- plane. If the magnitude of the constant angular acceleration is a = 0.95 rad/s², determine: (a) the angular velocity o of the object at ti = 1.5 s, t2 = 2.0 s, and t3 motion began; (b) the angular position 0 of the object with respect to its initial position at t = 1.5 s, t2 = 2.0 s, and 3.5 s after the rotational motion began; and (c) convert 3.5 s after the rotational t3 angles obtained in radians into corresponding angles in degrees.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
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