classroom demonstration is done with an Atwood machine. The masses are m 1 = 1.0

Question

classroom demonstration is done with an Atwood machine. The masses are m1 = 1.0  kg and m2 = 1.06  kg. If the larger mass descends a distance of 2.7 m from rest in 4.3363  s, what is the acceleration of gravity at that place? (Ignore the effects of pulley mass and friction.)

classroom demonstration is done with an Atwood machine. The masses are m1 = 1.0 kg and m2 = 1.06 kg. If the larger mass descends a distance of 2.7 m from rest in 4.3363 s, what is the acceleration of gravity at that place? (Ignore the effects of pulley mass and friction.) Atwood Machine

Explanation / Answer

Second equatioin of motion:

s=ut+1/2at^2

2.7= 0 +.5* a * 4.3363*4.3363 = 9.4 *a

=> a = 0.287 m/s-square

a = (m1-m2)*g/(m1+m2)

=> 0.6 * g / 2.06 = 0.287

so g= 9.853 m/s^2

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