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A mass on a string of unknown length oscillates as a
Chapter 14, Problem 19E(choose chapter or problem)
Problem 19E
A mass on a string of unknown length oscillates as a pendulum with a period of 4.00 s. What is the period if
a. The mass is doubled?
b. The string length is doubled?
c. The string length is halved?
d. The amplitude is halved?
Parts a to d are independent questions, each referring to the initial situation.
Questions & Answers
QUESTION:
Problem 19E
A mass on a string of unknown length oscillates as a pendulum with a period of 4.00 s. What is the period if
a. The mass is doubled?
b. The string length is doubled?
c. The string length is halved?
d. The amplitude is halved?
Parts a to d are independent questions, each referring to the initial situation.
ANSWER:
Step 1 of 4
The oscillation time period is given as,
\(T=4 s\)
The mass is \(\mathrm{m}\)
The length of the string is \(l\).
a)
If the mass is doubled, mears \(m \rightarrow 2 m\), then what will be the time period.
We know that,
\(T=2 \pi \sqrt{\frac{l}{g}} \ldots \ldots(1)\)
Where \(\mathrm{g}\) is the acceleration due to gravity.
The above equation is independent of the mass attached to the string.