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You are visiting your grandparents in Boston. There is an antique grandfather clock keeping time in one of the rooms. Your grandmother enters the room and tells you that she had it calibrated professionally in Denver and it kept perfect time for years. After they moved it here to their Massachusetts house, it has not been accurate. It runs too fast and has to be reset to the correct time every few days. You find some papers associated with the calibration of the clock when it was in Denver and find the following. The pendulum of the clock consists of a long, thin rod of length L = 1.14 m and mass m = 0.450 kg. On the rod is mounted a sliding bob, which is a uniform disk of radius R = 0.115 m and mass M 2.10 kg. The rod is suspended from pins mounted at its upper end. The calibration data show the acceleration due to gravity in Denver to be 9.796 m/s². You measure very carefully and find that the center of the disk is located at a distance r = 1.0140 m from the pivot point at the upper end of the rod. (a) Find the period of the pendulum (in s) when it was in Denver. (b) The acceleration due to gravity in Boston is 9.803 m/s2. If the Denver-calibrated clock is set to the correct time one morning in Boston, determine by how many seconds the clock is off at the same time the next morning. Is it fast or slow? O fast O slow (c) You decide to adjust the clock by turning a small knob located at the bottom of the bob. Turning the knob causes the bob to move up and down on the rod. Find the direction you should move the bob to restore the correct timekeeping capability of the clock: up or down. up down

You are visiting your grandparents in Boston. There is an antique grandfather clock keeping time in one of the rooms. Your grandmother enters the room and tells you that she had it calibrated professionally in Denver and it kept perfect time for years. After they moved it here to their Massachusetts house, it has not been accurate. It runs too fast and has to be reset to the correct time every few days. You find some papers associated with the calibration of the clock when it was in Denver and find the following. The pendulum of the clock consists of a long, thin rod of length L = 1.14 m and mass m = 0.450 kg. On the rod is mounted a sliding bob, which is a uniform disk of radius R = 0.115 m and mass M 2.10 kg. The rod is suspended from pins mounted at its upper end. The calibration data show the acceleration due to gravity in Denver to be 9.796 m/s². You measure very carefully and find that the center of the disk is located at a distance r = 1.0140 m from the pivot point at the upper end of the rod. (a) Find the period of the pendulum (in s) when it was in Denver. (b) The acceleration due to gravity in Boston is 9.803 m/s2. If the Denver-calibrated clock is set to the correct time one morning in Boston, determine by how many seconds the clock is off at the same time the next morning. Is it fast or slow? O fast O slow (c) You decide to adjust the clock by turning a small knob located at the bottom of the bob. Turning the knob causes the bob to move up and down on the rod. Find the direction you should move the bob to restore the correct timekeeping capability of the clock: up or down. up down

Elements Of Electromagnetics
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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You are visiting your grandparents in Boston. There is an antique grandfather clock keeping time in one of the rooms. Your grandmother enters the room and tells you that she had it calibrated professionally in Denver and it kept perfect time for years. After they moved it here to their Massachusetts house, it has not been accurate. It runs too fast and has to be reset to the correct time every few days. You find some papers associated with the calibration of the clock when it was in Denver and find the following. The pendulum of the clock consists of a long, thin rod of length L = 1.14 m and mass m = 0.450 kg. On the rod is mounted a sliding bob, which is a uniform disk of radius R = 0.115 m and mass M = 2.10 kg. The rod is suspended from pins mounted at its upper end. The calibration data show the acceleration due to gravity in Denver to be 9.796 m/s2. You measure very carefully and find that the center of the disk is located at a distance r = 1.0140 m from the pivot point at the upper end of the rod. (a) Find the period of the pendulum (in s) when it was in Denver. (b) The acceleration due to gravity in Boston is 9.803 m/s2. If the Denver-calibrated clock is set to the correct time one morning in Boston, determine by how many seconds the clock is off at the same time the next morning. Is it fast or slow? fast slow (c) You decide to adjust the clock by turning a small knob located at the bottom of the bob. Turning the knob causes the bob to move up and down on the rod. Find the direction you should move the bob to restore the correct timekeeping capability of the clock: up or down. dn down
Transcribed Image Text:You are visiting your grandparents in Boston. There is an antique grandfather clock keeping time in one of the rooms. Your grandmother enters the room and tells you that she had it calibrated professionally in Denver and it kept perfect time for years. After they moved it here to their Massachusetts house, it has not been accurate. It runs too fast and has to be reset to the correct time every few days. You find some papers associated with the calibration of the clock when it was in Denver and find the following. The pendulum of the clock consists of a long, thin rod of length L = 1.14 m and mass m = 0.450 kg. On the rod is mounted a sliding bob, which is a uniform disk of radius R = 0.115 m and mass M = 2.10 kg. The rod is suspended from pins mounted at its upper end. The calibration data show the acceleration due to gravity in Denver to be 9.796 m/s2. You measure very carefully and find that the center of the disk is located at a distance r = 1.0140 m from the pivot point at the upper end of the rod. (a) Find the period of the pendulum (in s) when it was in Denver. (b) The acceleration due to gravity in Boston is 9.803 m/s2. If the Denver-calibrated clock is set to the correct time one morning in Boston, determine by how many seconds the clock is off at the same time the next morning. Is it fast or slow? fast slow (c) You decide to adjust the clock by turning a small knob located at the bottom of the bob. Turning the knob causes the bob to move up and down on the rod. Find the direction you should move the bob to restore the correct timekeeping capability of the clock: up or down. dn down
A toddler with a mass of 14.4 kg bounces up and down in her crib. The crib mattress behaves like a light spring with force constant 1840 N/m. (a) The toddler bounces with at a frequency that allows her to reach a maximum amplitude with minimum effort. What is this frequency (in Hz)? Hz (b) The toddler now bounces high enough to lose contact with the mattress once each cycle, like a trampoline. What is the minimum amplitude of ocillation (in cm) required for this to occur? cm Need Help? Read It
Transcribed Image Text:A toddler with a mass of 14.4 kg bounces up and down in her crib. The crib mattress behaves like a light spring with force constant 1840 N/m. (a) The toddler bounces with at a frequency that allows her to reach a maximum amplitude with minimum effort. What is this frequency (in Hz)? Hz (b) The toddler now bounces high enough to lose contact with the mattress once each cycle, like a trampoline. What is the minimum amplitude of ocillation (in cm) required for this to occur? cm Need Help? Read It
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