Two blocks of mass m1 = 4 ?? and m2 = 6 kg are connected by a rope that goes over a  frictionless pulley and provides a tension T. m2 is accelerating upwards with an acceleration a and m1 is accelerating to the right with an acceleration a. m1 is being pulled to the right by a  force F= 80 N that makes an angle 20∘ above the horizontal.  a) What is a, the acceleration of the system?  b) What is T, the tension on the rope connecting m1 and m2?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 29PQ: Two forces F1=(62.98i15.80j) N and F2=(23.66i78.05j) are exerted on a particle. The particles mass...
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Two blocks of mass m1 = 4 ?? and m2 = 6 kg are connected by a rope that goes over a 
frictionless pulley and provides a tension T. m2 is accelerating upwards with an acceleration a and m1 is accelerating to the right with an acceleration a. m1 is being pulled to the right by a 
force F= 80 N that makes an angle 20∘ above the horizontal. 
a) What is a, the acceleration of the system? 
b) What is T, the tension on the rope connecting m1 and m2?

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