What Is the Acceleration and Tension in a Two-Mass System on an Inclined Plane?

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SUMMARY

The discussion focuses on calculating the acceleration and tension in a two-mass system on an inclined plane, specifically with two 400 kg masses connected by a cord. The system is subjected to a force of 120 N, with a 30° incline and a friction coefficient of 0.5 for mass M1. The calculated accelerations are a1 = 0.67 m/s² for M1 and a2 = 4.7 m/s² for M2, indicating that there is no tension in the cord due to the differing accelerations of the two masses.

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two masses, each of 400 kg, connect with a thin cord and pull up a plane inclined 30 °, as shown in Figure The coefficient of friction between M and the, inclined plane is 0.5; the coefficient of friction between M2 and the piano is negligible.
(a) determine the acceleration of the system and the tension in the cord that connects the two masses if the magnitude of the force F is of 120N.

Answer
(a) there is no tension on the rope since the acceleration of M2 is greater than the M1: a1 = 0,67 m/s^2 and a2 = 4.7 m/s^2View attachment 2102.
 

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Well, what have you tried? We can't really help you effectively if we don't know where you are stuck. :D
 
MarkFL said:
Well, what have you tried? We can't really help you effectively if we don't know where you are stuck. :D

Ok why are two accelerations??
maybe For M1 = f-(px1-T)= m1a1
y for M2 = T-px2 = m2a2
 

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