A thin rod (length = 2.63 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The mass of the rod may be ignored, compared to the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. (a) What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b) What is the magnitude of the angular acceleration of the rod just before it strikes the floor? L (0)

A thin rod (length = 2.63 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The mass of the rod may be ignored, compared to the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. (a) What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b) What is the magnitude of the angular acceleration of the rod just before it strikes the floor? L (0)

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter8: Rotational Equilibrium And Rotational Dynamics

Section8.7: Angular Momentum

Problem 8.5QQ: A horizontal disk with moment of inertia I1 rotates with angular speed 1 about a vertical...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

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A thin rod (length = 2.63 m) is oriented vertically, with its bottom end attached to the
floor by means of a frictionless hinge. The mass of the rod may be ignored, compared to
the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over
and rotates downward. (a) What is the angular speed of the rod just before it strikes
the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b) What
is the magnitude of the angular acceleration of the rod just before it strikes the floor?
L

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