A vertical rectangular object of uniform mass M = 6 kg has sides a = 0.31 m and b= 0.46 m. It is pivoted from point O as shown in the figure below. If a constant force of F = 145 N along the diagonal is applied as shown below, determine the angular acceleration of the rectangle in SI units at the instant shown. Express your answer using one decimal place. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint 1: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass (CM) is Icm = M(a² + b²). Hint 2: Don't forget the force of gravity!! Take g 9.80 m/s?.
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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