- #1

QED-Kasper

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## Homework Statement

Is the answer provided by the textbook solution manual wrong?

Here is the textbook exercise:

A bob with a mass of 0,500 kg is on the end of a long chord and suspended on a pivot (no friction). The distance of the center of mass of the the bob to the pivot-point is 250 cm. The bob is pulled 70 cm from its equilibrium state and then released.

a. Calculate the period.

b. Calculate the speed at which the bob passes its equilibrium state

c. How big is the Vibration energy?

## Homework Equations

T=2[tex]\pi[/tex][tex]\sqrt{}(l/g)[/tex]

V

_{max}=2[tex]\pi[/tex]A/T

E

_{vib}=0,5mv

^{2}

_{max}

## The Attempt at a Solution

a. T=2[tex]\pi[/tex][tex]\sqrt{}(2,5/9,81)[/tex]=3,17187=3,17 s

b. V

_{max}=2[tex]\pi[/tex]0,7/3,17187=1.386636=1,4 m/s

c. E

_{vib}=0,5 x 0,5 x 1,386636

^{2}=0,48 J

for c. the textbook got 0,49 J

The textbook calculations are the same except that they use the rounded answers in each consecutive calculation. I thought that the correct way to calculate is to use the unrounded answers and then round the final answer to the correct significant figures. Am I right? Any help will be so much appreciated. (I'm sorry the equations aren't very pretty, it's my first time trying to use this system)

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