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January 31, 2015

January 31, 2015

Posted by **Christa** on Sunday, July 25, 2010 at 9:38pm.

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_______________._______________

A . B

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(SIMPLE DRAWING)

The distance from A to B si 20 centimeters. Let d(t) be the horizontal distance from the pendulum to the center line at time t seconds (with distances to the right of the line measured by positive numbers and distances to the left by negative ones.) Assume that the pendulum is on the center line at time t= 0 adn moving to the right. Assume that the motion of the pendulum is simple and harmonic. Find the rule of d(t).

- Math-Pre Cal & Trig -
**Henry**, Monday, July 26, 2010 at 1:22pmvelocity = 20cm / 2sec. = 10 cm /sec.

A B

d(cm) -10 -8 -6 -4 -2 0 2 4 6 8 10.

t(sec) 1 .8 .6 .4 .2 0.2.4.6.8 1.

The period of the oscillations or

vibrations is the time required for

the pendulum to go from A to B and

back to A ( 40 cm ).

T = 40 cm / 10cm/sec. - 4 sec. =

Period

f = 1 / T = 1 / 4 = .25 cycles per

sec = 0.25 hertz.

- Math-Pre Cal & Trig -
**Henry**, Monday, July 26, 2010 at 1:44pmA B

d(cm)-10 -8 -6 -4 -2 0 2 4 6 8 10

t(se) 1 .8 .6 .4 .2 0 .2 .4 .6.8 1

- Math-Pre Cal & Trig -
**Henry**, Monday, July 26, 2010 at 1:51pmChrista, the data on the time line

should be shifted one space to the right.

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