- #1

Sulla

- 8

- 0

A diagram is illustrated as having a small disk (radius 1m) with a rope hanging on its edge with a mass of 12 kg attached to it. Another pulley disk (radius 2m) surrounds the smaller and first one; it has a rope attached to a 4 kg mass.

This is what I have so far:

T1 - m1g = m1a1

= t1-117.6 = 12a1

m2g - T2 = m2a2

= 2 [39.2 - T2 = 4a2]

= 78.4 - 2T2=8a2

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In order to find the accel., I calculated the velocity from the radii and distance using arc length.

d2= 2(theta)

d1= 1(theta)

d2/d1= 2(theta)

d2=2a1

v2=2v1

a2=2a1

a(tangential)= (alpha)r (alpha= angular accel.)

a2=2(alpha)

2a1=2(alpha)

(alpha) = a1

T1 - 177.6 = 12a1

78.4 - 2T2 = 8a2=8*2(alpha)=16(alpha)

+ 2T2 - T1 = 4a1

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-39.2 = 32a1

a1= -1.225

a2= 2(-1.225)

Having done that...are the objects decelerating not accelerating? And have I completed all the steps correctly?