need help with #4 and #5 please thank you! 4. Compute the net torque acting on t

Question

need help with #4 and #5 please thank you!

4. Compute the net torque acting on the pulley in the diagram if the radius of the pulley is 0.25 m and the tensions are T, 50 N and T 30 N T2 = 30 N T, = 50 N 5. Four masses of 20.0, 40.0, 60.0, and 80.0 g are located at the respective distances of 10.0 20.0, 30.0, 40.0 cm from an origin. Find the center of mass of the system. 6. Three masses of 15.0, 45.0 and 25.0 g are located on the x-axis at 10.0, 25.0, 45.0 cm. Two masses of 25.0 and 33.0 g are located on the y-axis at 35.0 and 50.0 cm, respectively. Find the center of mass of the system.

Explanation / Answer

4. torque = r x F

net torque = r T1 - r T2

= 0.25 ( 50 -30)

= 5 N m  

5. r_cm = (m1 r1 + m2 r2 + m3 r3 + m4 r4) / (m1 + m2 +m3 + m4)

r_cm = [ 20x10 + 40x20 + 60x30 + 80x40] / (20 + 40 + 60 + 80)

= 30 cm

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