Understand the analogy between translational and rotational kinematics and dynamics. (Outcome 1) State the conditions for...

Understand the analogy between translational and rotational kinematics and dynamics. (Outcome 1) State the conditions for translational and rotational equilibrium and apply these conditions in analyzing the equilibrium of a rigid object (Outcome 2) Instructions For the Chapter 9 ORION discussion, you will create a unique Question Post

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Expert Solution

Understand the analogy between translational and rotational kinematics and dynamics.

Analogy between both is following:

State the conditions for translational and rotational equilibrium

Condition for translational equilibrium:

An object is in translational equilibrium when the sum of all the external forces acting on the object equals zero. This also means an object is in translational equilibrium when it is experiencing zero overall acceleration. Therefore, it is either not moving or moving at a constant velocity.

Condition for rotational equilibrium:

An object is in rotational equilibrium when the sum of all the external torques acting on it equals zero. In rotational equilibrium, an object either will not be moving or moving at a constant angular velocity. This must mean the object is experiencing zero angular acceleration.

Apply these conditions in analyzing the equilibrium of a rigid object:

A rigid object for example a ball lying at rest on a floor is in translatiobal as well as rotational equilibrium because it is not having any angular accleration as well as not having any linear acceleration.

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