14. Torque & Rotational Dynamics

Torque & Acceleration (Rotational Dynamics)

Rotational Dynamics Intro With Formula & Examples (AP Physics)

A cord is wrapped around the rim of a solid uniform wheel 0.250 m in radius and of mass 9.20 kg. A steady horizontal pull of 40.0 N to the right is exerted on the cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless bearings on a horizontal axle through its center. (b) Find the magnitude and direction of the force that the axle exerts on the wheel. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/e777f4a45f222235-1671221160082.jpg" alt="" />

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?

CP A 2.00-kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.150 m, to a hanging book with mass 3.00 kg. The system is released from rest, and the books are observed to move 1.20 m in 0.800 s. (a) What is the tension in each part of the cord?

Rotational Dynamics

CP A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in Fig. 10.10. The pulley is a uniform disk with mass 10.0 kg and radius 30.0 cm and turns on frictionless bearings. You measure that the stone travels 12.6 m in the first 3.00 s starting from rest. Find (b) the tension in the wire.

Rotational Dynamics - Basic Introduction

30.1 Introduction to Torque and Rotational Dynamics

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

A playground merry-go-round has radius 2.40 m and moment of inertia 2100 kg•m^2 about a vertical axle through its center, and it turns with negligible friction. A child applies an 18.0-N force tangentially to the edge of the merry-go-round for 15.0 s. If the merry-go-round is initially at rest (b) How much work did the child do on the merry-go-round?

The flywheel of an engine has moment of inertia 1.60 kg/m^2 about its rotation axis. What constant torque is required to bring it up to an angular speed of 400 rev/min in 8.00 s,
starting from rest?

Rotational Dynamics - A-level Physics (Engineering)

CP A 15.0-kg bucket of water is suspended by a very light rope wrapped around a solid uniform cylinder 0.300 m in diameter with mass 12.0 kg. The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls 10.0 m to the water. (b) With what speed does the bucket strike the water?

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

A machine part has the shape of a solid uniform sphere of mass 225 g and diameter 3.00 cm. It is spinning about a frictionless axle through its center, but at one point on its equator it is scraping against metal, resulting in a friction force of 0.0200 N at that point. (a) Find its angular acceleration.

A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a thin, light wire that passes over a frictionless pulley (Fig. E10.16). The pulley has the shape of a uniform solid disk of mass 2.00 kg and diameter 0.500 m. After the system is released, find <img src="https://lightcat-files.s3.amazonaws.com/problem_images/ee754b27c482f780-1671132397380.jpg" alt="" /> (b) the acceleration of the box, and

AP Physics 1: Rotational Dynamics Review

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