1. The motion of a vibrating particle is defined by the position vector r = 10(1 – e-")i+ (4e-24 sin 15t)j, where r and t are expressed in millimeters and seconds respectively. Determine the velocity and acceleration when (a) t 0, (b) t = 0.5 s.

1. The motion of a vibrating particle is defined by the position vector r = 10(1 – e-")i+ (4e-24 sin 15t)j, where r and t are expressed in millimeters and seconds respectively. Determine the velocity and acceleration when (a) t 0, (b) t = 0.5 s.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter10: Force And Force-related Variables In Engineering

Section: Chapter Questions

Problem 28P

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1. The motion of a vibrating particle is defined by the position vector r = 10(1 – e-3t)i +
(4e-24 sin 15t)j, where r and t are expressed in millimeters and seconds respectively. Determine the
velocity and acceleration when (a) t= 0, (b) t = 0.5 s.

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Step 1: Given data

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Step 2: Find the velocity at t= 0

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Step 3: velocity at t = 0.5 secs

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Step 4: determine the acceleration vector

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Step 5 Acceleration at t = 0 secs

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Step 6: determination of acceleration at t= 0.5 secs

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