Calculate the required value 1mA different pendulum has length 32 inches and is released from rest when 0 = 5° (theta = 5 degrees). What is the magnitude of the normal accelerationof the bob 1.6 seconds after release?O A. Less than 0.25 ft/s²O B. Between 0.25 and 0.5 ft/s²O C. Between 0.5 and 1.5 ft/s²O D. Between 1.5 and 2.5 ft/s²O E. Greater than 2.5 ft/s²

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Answered: magnitude of the normal acceleration

Engineering

Mechanical Engineering

magnitude of the normal acceleration

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

Calculate the required value

1
m
A different pendulum has length 32 inches and is released from rest when 0 = 5° (theta = 5 degrees). What is the magnitude of the normal acceleration
of the bob 1.6 seconds after release?
O A. Less than 0.25 ft/s²
O B. Between 0.25 and 0.5 ft/s²
O C. Between 0.5 and 1.5 ft/s²
O D. Between 1.5 and 2.5 ft/s²
O E. Greater than 2.5 ft/s²

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Step 1: Draw the free body diagram.

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Step 2: Write the net moment equation for pendulum about its rotating point O.

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Step 3: Write the equation for given imaginary roots.

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Step 4: Calculate the angular velocity equation and substitute the initial values.

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Step 5: Substitute the constant values.

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Step 6: Calculate the angular velocity at t=1.6 sec after release.

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Solution

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