A weight of mass 1.32 kg is suspended by a string wrapped around a pulley wheel, whichconsists of a solid disk of mass 4.47 kg and radius 1.03 m. The system is released fromrest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignorefriction and drag forces, and assume that the string does not slip.Hint: If the string had 0 length, it would be obvious that the point mass contributesIpt = mR² to the total rotational inertia, since the point mass would be directly stuckon the outside of the pulley. What's the difference if the string has nonzero length, so thatthe point mass hangs below the pulley as in the diagram? None at all! The pulley can't tellthe difference between a point mass attached to it by a 0 length string or a 20 meter longstring. All it knows is that there's a point mass m attached to its outer edge.

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A weight of mass 1.32 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.47 kg and radius 1.03 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip. Hint: If the string had 0 length, it would be obvious that the point mass contributes directly stuck

A weight of mass 1.32 kg is suspended by a string wrapped around a pulley wheel, which consists of a solid disk of mass 4.47 kg and radius 1.03 m. The system is released from rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore friction and drag forces, and assume that the string does not slip. Hint: If the string had 0 length, it would be obvious that the point mass contributes directly stuck

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 59P: A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m)...

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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.

Question

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A weight of mass 1.32 kg is suspended by a string wrapped around a pulley wheel, which
consists of a solid disk of mass 4.47 kg and radius 1.03 m. The system is released from
rest. Over what vertical distance does the hanging mass move in 3.0 seconds? Ignore
friction and drag forces, and assume that the string does not slip.
Hint: If the string had 0 length, it would be obvious that the point mass contributes
Ipt = mR² to the total rotational inertia, since the point mass would be directly stuck
on the outside of the pulley. What's the difference if the string has nonzero length, so that
the point mass hangs below the pulley as in the diagram? None at all! The pulley can't tell
the difference between a point mass attached to it by a 0 length string or a 20 meter long
string. All it knows is that there's a point mass m attached to its outer edge.

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Step 1: GIVEN AND REQUIRED

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Step 2: FBD FOR PULLEY

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Step 3: FBD FOR HANGING MASS

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Step 4: CALCULATION

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