Question

Consider the general plane motion of a rigid body. At any given instant, the velocities of the various particles of the rigid body are the same as if the body were rotating about a point on the plane, called the __________. Choose the best answer according to our textbook.

Question 4 options:

	instantaneous center of translation
	instantaneous axis of rotation
	velocity center
	mass center
	instantaneous center of rotation

Answer 1

ANSWER :- Consider the general plane motion of a rigid body.At any given instant, the velocities of the various particles of the rigid body are the same as if the body were rotating about a point on the plane, called the instantaneous center of translation.

When a rigid body in translation, all th points of the body have the same velocity and the same acceleration at any given instant.

Rigid Body :- A rigid body is a combination of a large number of particles occupying fixed positions with respect to each other.A rigid body is being defined as one which does not deform.

Properties of rigid body motion :- In the following, we identify the two properties of the motion of rigid body that simplify the kinematics significantly.In order to do this, observe that an arbitrary rigid body motion falls into one of three categories.

(1.) Translation(rectilinear and curvilinear):- Motion in which every line in the body remains parallel to its original position.The motion of the body is completely specified by the motion of any point in the body.All points of the body have the same velocity and sme acceleration.

In case of curvilinear translation, the velocity and acceleration change in direction as well as in magnitude at every instant.In case of rectilinear translation , all particles of the body moves along parallel straight lines, and their velocity and acceleration keep the same direction during the entire motion.

(2.) Rotation about a fixed axis :- All particles moves in a circular path about the axis of rotation.The motion of the body is completely determined by the angular velocity of the rotation.

(3.) General plane motion :- Any plane motion that is neither a pure rotation nor a translation is referred to as a general plane motion.