14. Torque & Rotational Dynamics

Torque & Acceleration (Rotational Dynamics)

30.1 Introduction to Torque and Rotational Dynamics

Suppose that piano has a long, thin bar ran through it (totally random), shown below as the vertical red line, so that it is free to rotate about a vertical axis through the bar. You push the piano with a horizontal 100 N (blue arrow), causing it to spin about its vertical axis with 0.3 rad/s2 . Your force acts at a distance of 1.1 m from the bar, and is perpendicular to a line connecting it to the bar (green dotted line). What is the piano’s moment of inertia about its vertical axis?<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/27b69176"alt=""/>

A hollow sphere with a radius of 0.31 m is placed on an inclined plane that makes an <math display=“inline”><mrow><mn>11</mn><mo>&#x00B0;</mo></mrow></math> angle with the floor. Assuming the sphere rolls without slipping, what will be the magnitude of the acceleration of the sphere down in the incline?

Rotational Dynamics

Rotational Dynamics - Basic Introduction

Physics - Mechanics: Application of Moment of Inertia and Angular Acceleration (2 of 2)

Rotational Dynamics - A-level Physics (Engineering)

A <math display="inline"><mrow><mn>400</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">g</mi></mrow></math> particle is moving in circular motion with a radius of <math display="inline"><mrow><mn>2.3</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">m</mi></mrow></math>. At one instant in time its speed was <math display="inline"><mrow><mn>3.4</mn><mo rspace="thickmathspace">&#x2062;</mo><mrow><mi mathvariant="normal" class="MathML-Unit">m</mi><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">s</mi></mrow></mrow></math> and it was slowing down at a rate of <math display="inline"><mrow><mn>2.2</mn><mo rspace="thickmathspace">&#x2062;</mo><mrow><mi mathvariant="normal" class="MathML-Unit">m</mi><mo>/</mo><msup><mi mathvariant="normal" class="MathML-Unit">s</mi><mn>2</mn></msup></mrow></mrow></math>. What was the magnitude of the net force on the particle at this instant?

Torque & Acceleration of a Point Mass

AP Physics 1: Rotational Dynamics Review

Rotational Dynamics Intro With Formula & Examples (AP Physics)

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Torque on Discs & Pulleys

Net Torque & Sign of Torque

Torque Due to Weight

Intro to Torque

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