The rectangular block shown rotates about the diagonal OA with a constant angular velocity of 5.8 rad/s. Knowing that the rotation is counterclockwise as viewed from A, determine the velocity and acceleration of point B at the instant shown. 5 in. 12 in. y B 15.6 in. 15.6 in. The velocity of corner Bis -( 32.123 in./s)i + ( 10.295 in./s)j The acceleration of corner Bis -(186.3134 in./s²)i – 31.0764 in./s2)j + ( 13.38 in./s)k. o | in./s²)k.

The rectangular block shown rotates about the diagonal OA with a constant angular velocity of 5.8 rad/s. Knowing that the rotation is counterclockwise as viewed from A, determine the velocity and acceleration of point B at the instant shown. 5 in. 12 in. y B 15.6 in. 15.6 in. The velocity of corner Bis -( 32.123 in./s)i + ( 10.295 in./s)j The acceleration of corner Bis -(186.3134 in./s²)i – 31.0764 in./s2)j + ( 13.38 in./s)k. o | in./s²)k.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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 rectangular block shown rotates about the diagonal OA with a constant angular velocity of 5.8 rad/s.
Knowing that the rotation is counterclockwise as viewed from A, determine the velocity and acceleration of
point B at the instant shown.
5 in.
12 in.
15.6 in.
15.6 in.
The velocity of corner Bis -( 32.123 in./s)i + ( 10.295 in./s)j - ( 13.38 in./s)k.
The acceleration of corner Bis -(186.3134| in./s²)i – (| 31.0764 in.
in./s²)j +
o in./s2)k.

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Step 2: Calculation of the angular velocity vector.

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Step 3: Calculation of the linear velocity of point B.

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Step 4: Calculation of acceleration at the point B

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