Concept explainers
(a) To Determine:
What is the period
Answer to Problem 1CQ
Solution:
The period
Explanation of Solution
Given:
The period
Formula used:
The period
Where:
•
•
•
Calculation:
The period
Now, when the mass is doubled, period
Inserting (2) into equation (3) we have:
But:
Inserting (5) into (4) we obtain:
(b) To Determine:
What is the period
Answer to Problem 1CQ
Solution:
When the constant spring
Explanation of Solution
Given:
The period
According to equation (1), period
Now, when the spring constant
Replacing (7) into equation (8) we have:
But
(c) To determine:
What is the period
Answer to Problem 1CQ
Solution:
Explanation of Solution
Given:
The oscillation amplitude
According to equation (1) the period does not depend on oscillation amplitude
Conclusion:
From the equations (6) and (10) it can be established that if the mass of a block tied to a spring is doubled (for a period
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