Problem 9.2 Consider an object undergoing a rotational motion in the xy-plane about a fixed axis perpendicular to the plane of motion (Fig. 9.35). Let O be a point in the xy-plane along the axis of rotation, and P is a fixed point on the object. Due to the rotation of the object, point P will move in a circular path with a radius r = 0.8 m. The relative position of point P along its circular path is given as a function of time S = mine the distance (S) traveled by point P along its path, and the magnitude of its linear velocity (v), tangential (a), normal (an), and net accelerations 3 s after the motion began. at a P an 0.45 t3. Deter- Ay Answers: S=1.95 m; v=0.86m/s; at=0.1 m/s²; an=0.92 m/s2; a = 0.93 m/s² Fig. 9.35 Problems 9.2 and 9.3

Problem 9.2 Consider an object undergoing a rotational motion in the xy-plane about a fixed axis perpendicular to the plane of motion (Fig. 9.35). Let O be a point in the xy-plane along the axis of rotation, and P is a fixed point on the object. Due to the rotation of the object, point P will move in a circular path with a radius r = 0.8 m. The relative position of point P along its circular path is given as a function of time S = mine the distance (S) traveled by point P along its path, and the magnitude of its linear velocity (v), tangential (a), normal (an), and net accelerations 3 s after the motion began. at a P an 0.45 t3. Deter- Ay Answers: S=1.95 m; v=0.86m/s; at=0.1 m/s²; an=0.92 m/s2; a = 0.93 m/s² Fig. 9.35 Problems 9.2 and 9.3

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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).

Question

Problem 9.2 Consider an object undergoing a rotational motion
in the xy-plane about a fixed axis perpendicular to the plane of
motion (Fig. 9.35). Let O be a point in the xy-plane along the axis
of rotation, and P is a fixed point on the object. Due to the
rotation of the object, point P will move in a circular path with
a radius r = 0.8 m. The relative position of point P along its
circular path is given as a function of time S = 0.45 3. Deter-
mine the distance (S) traveled by point P along its path, and the
magnitude of its linear velocity (v), tangential (a+), normal (an),
and net accelerations 3 s after the motion began.
h
at
a
an
Ay
Answers: S= 1.95 m; v=0.86m/s; a=0.1 m/s²; an=0.92 m/s²;
a =0.93 m/s²
Fig. 9.35 Problems 9.2 and 9.3

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