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April 18, 2014

April 18, 2014

Posted by **Anon** on Tuesday, December 7, 2010 at 7:43pm.

(a) Determine the period of the motion.

T= .4979201367s

Determine the frequency of the motion.

f= 2.008354 Hz

(b) Determine the amplitude.

(c) Determine the maximum acceleration.

(d) Determine the position as a function of time.

(e) Determine the total energy.

- Physics -
**Damon**, Tuesday, December 7, 2010 at 7:55pmm = 0.785 kg

k = 125 N/m

w = sqrt (k/m) = 2 pi f

T = 1/f

KE at center of motion = total energy = (1/2) mv^2

KE = E = (1/2)(m )(2.70)^2

so

U at max swing amplitude A = E = (1/2) k A^2

so

A^2 = 2 E/k

max acceleration = w^2 A

x = A sin w t

we already did total energy because I chose to find amplitude that way.

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