Problem 3: A simple pendulum, consisting of a mass on a string of length L, is undergoing small oscillations with amplitude A. Part (a) The mass is increased by a factor of four. What is true about the period? Choose the best answer. MultipleChoice: 1) The period doubles. 2) The period remains unchanged. 3) The period is halved. 4) The period decreases by a factor of four. 5) The period increases by a factor of four. Part (b) The length is increased by a factor of four. What is true about the period? Choose the best answer. MultipleChoice: 1) The period is halved. 2) The period doubles. 3) The period decreases by a factor of four. 4) The period remains unchanged. 5) The period increases by a factor of four.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
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can you please solve (a) & (b)? 

Problem 3: A simple pendulum, consisting of a mass on a string of length L, is undergoing small oscillations
with amplitude A.
Part (a) The mass is increased by a factor of four. What is true about the period? Choose the best answer.
MultipleChoice :
1) The period doubles.
2) The period remains unchanged.
3) The period is halved.
4) The period decreases by a factor of four.
5) The period increases by a factor of four.
Part (b) The length is increased by a factor of four. What is true about the period? Choose the best answer.
MultipleChoice :
1) The period is halved.
2) The period doubles.
3) The period decreases by a factor of four.
4) The period remains unchanged.
5) The period increases by a factor of four.
Part (c) The amplitude is doubled. What is true about the period? Ch0oose the best answer.
MultipleChoice :
1) The period doubles.
2) The period remains unchanged.
3) The period is halved.
4) The period decreases by a factor of four.
5) The period increases by a factor of four.
Part (d) The pendulum is taken to the Moon. Which of the following is true about the period? Choose the best ans
MultipleChoice :
1) The period decreases.
2) The period increases.
3) The period changes because it depends on the mass, and the mass is different on Moon than on Earth.
4) The period remains unchanged.
Transcribed Image Text:Problem 3: A simple pendulum, consisting of a mass on a string of length L, is undergoing small oscillations with amplitude A. Part (a) The mass is increased by a factor of four. What is true about the period? Choose the best answer. MultipleChoice : 1) The period doubles. 2) The period remains unchanged. 3) The period is halved. 4) The period decreases by a factor of four. 5) The period increases by a factor of four. Part (b) The length is increased by a factor of four. What is true about the period? Choose the best answer. MultipleChoice : 1) The period is halved. 2) The period doubles. 3) The period decreases by a factor of four. 4) The period remains unchanged. 5) The period increases by a factor of four. Part (c) The amplitude is doubled. What is true about the period? Ch0oose the best answer. MultipleChoice : 1) The period doubles. 2) The period remains unchanged. 3) The period is halved. 4) The period decreases by a factor of four. 5) The period increases by a factor of four. Part (d) The pendulum is taken to the Moon. Which of the following is true about the period? Choose the best ans MultipleChoice : 1) The period decreases. 2) The period increases. 3) The period changes because it depends on the mass, and the mass is different on Moon than on Earth. 4) The period remains unchanged.
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