A mass of 310 g is suspended from a weightless, inextensible string of length toform a simple pendulum. The mass is now pulled aside so that the string makesan angle of 7.5o with the vertical and then released.The frequency of the resulting oscillation is measured and found to be 0.512 Hz..Determine the following, giving your answers to an appropriate number ofsignificant figures.i.) The length of the string[25%]ii.) The maximum speed of the mass[25%]iii.) The maximum acceleration of the mass[25%]iv.) The maximum tension in the string [25%]
A mass of 310 g is suspended from a weightless, inextensible string of length toform a simple pendulum. The mass is now pulled aside so that the string makesan angle of 7.5o with the vertical and then released.The frequency of the resulting oscillation is measured and found to be 0.512 Hz..Determine the following, giving your answers to an appropriate number ofsignificant figures.i.) The length of the string[25%]ii.) The maximum speed of the mass[25%]iii.) The maximum acceleration of the mass[25%]iv.) The maximum tension in the string [25%]
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.14P
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Question
A mass of 310 g is suspended from a weightless, inextensible string of length to
form a simple pendulum. The mass is now pulled aside so that the string makes
an angle of 7.5o
with the vertical and then released.
The frequency of the resulting oscillation is measured and found to be 0.512 Hz.
.
Determine the following, giving your answers to an appropriate number of
significant figures.
i.) The length of the string
[25%]
ii.) The maximum speed of the mass
[25%]
iii.) The maximum acceleration of the mass
[25%]
iv.) The maximum tension in the string
[25%]
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