Answered: The spool has a mass of 50 kg and a…

The spool has a mass of 50 kg and a radius of gyration ko 0.280 m. If the 20-kg block A is released from rest, determine the velocity of the block when it descends 0.5 m.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter11: Fluid Statics

Section: Chapter Questions

Problem 79PE: (a) How high will water rise in a glass capillary tube with a 0.500-mm radius? (b) How much...

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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

The spool has a mass of 50 kg and a radius of gyration
ko 0.280 m. If the 20-kg block A is released from rest,
determine the velocity of the block when it descends 0.5 m.
=
A
0.3 m 0.2 m
op

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Step 1: Given data

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Step 2: Calculation for moment of inertia of the spool about point O.

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Step 3: Calculation for potential energy of the block A.

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Step 4: Determining the expression for kinetic energy.

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Step 5: Calculation for velocity of block A using conservation of energy.

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