1) Whats the Amplitud for X & Y motion? 2) Whats the Period the X & Y motion? (s

Question

1) Whats the Amplitud for X & Y motion?

2) Whats the Period the X & Y motion? (show work)

3) Whats time do they reachmaximum velocity in x-direction & y-direction?

4) Why are the times to maximum position of X & Y different?

3) Whats time do they reach maximum acceleration in x-direction & y-direction?

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Explanation / Answer

a) The amplitude for x-motion is = 15 and for y it is 7. (units need to be considered)

b) Time taken in x-motion to reach negative peak from positive peak = 2sec

time period T = 2*2 = 4 sec

It is same for y-motion also.

c) The velocity will be maximum at zero positions.

for x-motion the position is zero at 0.4 sec and 2.4 sec at which the velocity is maximum.

for y-motion the position is zero at 1.7 sec and 3.7 sec at which the velocity is maximum.

d) Although both have the same period but the starting points are different thats why they takes different times to reach the maximum position.

e) The acceleration will be maximum at maximum position as F = -kx.

for x-motion the position is maximum at 1.5 sec and 3.5 sec at which the acceleration is maximum.

for y-motion the position is maximum at 0.75 sec and 2.75 sec at which the acceleration is maximum.

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