Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Textbook Question

Chapter 10, Problem 1P

During a certain time interval, the angular position of a swinging door is described by θ = 5.00 + 10.0t + 2.00t², where θ is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door

(a) at t = 0 and
(b) at t = 3.00 s.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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Chapter 10, Problem 17CQ

Chapter 10, Problem 2P

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Chapter 10 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 10.1 - A rigid object is rotating in a counterclockwise...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Joseph are riding on a merry-go-round....Ch. 10.4 - Prob. 10.4QQ Ch. 10.5 - (i) If you are trying to loosen a stubborn screw...Ch. 10.7 - Prob. 10.6QQ Ch. 10.9 - A solid sphere and a hollow sphere have the same...Ch. 10.10 - A competitive diver leaves the diving board and...Ch. 10.12 - Two items A and B are placed at the top of an...Ch. 10 - A cyclist rides a bicycle with a wheel radius of...

Ch. 10 - Prob. 2OQ Ch. 10 - Prob. 3OQ Ch. 10 - Prob. 4OQ Ch. 10 - Assume a single 300-N force is exerted on a...Ch. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - Answer yes or no to the following questions. 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Consider the system shown in Figure P10.21...Ch. 10 - The fishing pole in Figure P10.22 makes an angle...Ch. 10 - Find the net torque on the wheel in Figure P10.23...Ch. 10 - Prob. 24P Ch. 10 - Prob. 25P Ch. 10 - Prob. 26P Ch. 10 - A force of F=(2.00i+3.00j) N is applied to an...Ch. 10 - A uniform beam resting on two pivots has a length...Ch. 10 - Prob. 29P Ch. 10 - Prob. 30P Ch. 10 - Figure P10.31 shows a claw hammer being used to...Ch. 10 - Prob. 32P Ch. 10 - A 15.0-m uniform ladder weighing 500 N rests...Ch. 10 - A uniform ladder of length L and mass m1 rests...Ch. 10 - BIO The arm in Figure P10.35 weighs 41.5 N. 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During a certain time interval, the angular position of a swinging door is described by θ = 5.00 + 10.0 t + 2.00 t 2 , where θ is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.

Solution Summary: The author compares the equation for angular position analogues to the kinematic equations in translational motion.

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Chapter 10 Solutions