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

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The discussion centers on a two-mass system on a 30° inclined plane, where each mass is 400 kg. The acceleration of the system is calculated to be 0.67 m/s² for M1 and 4.7 m/s² for M2, indicating that M2 accelerates faster than M1. The tension in the cord is effectively zero due to the differing accelerations. The conversation also highlights the need for clarity on the calculations and the forces acting on each mass. Understanding the forces and accelerations is crucial for solving similar physics problems.
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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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