A cord is wrapped around each of the two 20-kg disks. They are released from res

Question

A cord is wrapped around each of the two 20-kg disks. They are released from rest. Suppose that r = 76 nun Neglect the mass of the cord. (Figure 1) Determine the angular acceleration of disk A. measured clockwise. Express your answer using three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. Determine the angular acceleration of disk B measured clockwise. Express your answer using three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise Determine the tension in the cord C. Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

Angular acceleration alpha = T*0.076/(0.5×20*0.076^2) = 1.316T

Also mg - T = m alpha R

T = m*(g-alphaR)

now alpha = 20*(9.8 -0.076 alpha)*1.316

alpha = 196*1.316 - 2alpha

alpha = 196*1.316/3

= 8.60 rad/s^2

B) alpha = -8.60 rad/s^2

C) Tension = alpha/1.316

= 8.6/1.316

= 6.53 N

  

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