for the system of masses and pulley displayed in the figure m1= 5 kg, m2= 2 kg,

Question

for the system of masses and pulley displayed in the figure m1= 5 kg, m2= 2 kg, m3= 6 kg and the pulley is a disk of mass M = 5 kg and radius R = 0.2m that totaes about an axis through its center. The moment of inertia of the disk is I = 1/2MR^2. The rope has negligible mass. The tension in the rope between m1 and the pulley is T1, between the pulley and m2 is T2, and between m2 and m3 is T3. The pulley rotates driven by the rope without slipping.

1) The magnitude of the acceleratioin of the masses is,......

2) The megnitude of the angular acceleration of the pulley is,....

3) Is the total linear momentum of the masses and pulley system conserved?

4) the tension T1 is,..

5) the tension T3 is....

Please

Explanation / Answer

T1-5*9.8 = 5a 8*9.8-T2 = 8a T1= T2 solving a = 2.26 T1 - 49 = 11.3 T1 = T2 = 60.3N T3 = 6*9.8 = 58.8N

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