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

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In summary, in a system where two masses, each weighing 400 kg, are connected by a thin cord and pulling up a plane inclined at 30°, with a coefficient of friction of 0.5 between one mass and the inclined plane and negligible friction between the other mass and the piano, the acceleration of the system and tension in the cord can be determined with a force of 120N. The acceleration of M2 is greater than M1, with values of 0.67 m/s^2 and 4.7 m/s^2 respectively. The equations used to determine these values are M1 = f-(px1-T)= m1a1 and M2 = T-px2 = m2a
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leprofece
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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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  • #2
Well, what have you tried? We can't really help you effectively if we don't know where you are stuck. :D
 
  • #3
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
 

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

What is dynamics in science?

Dynamics in science refers to the study of motion and how objects move and interact with each other. It involves understanding the forces and energy involved in motion and how they affect the behavior of objects.

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Dynamics is a fundamental concept in many branches of science, including physics, chemistry, biology, and engineering. It is used to explain and predict the behavior of systems and processes, such as the movement of planets, the flow of fluids, and the behavior of living organisms.

What are the different types of dynamics?

There are several different types of dynamics, including classical dynamics, quantum dynamics, fluid dynamics, and molecular dynamics. Each type focuses on a specific aspect of motion and has its own set of principles and equations to describe and analyze it.

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