Assuming friction forces arc negligible. write an expression, using only the variables provided, for the acceleration that the block of mass m_1experiences in the x- direction. Your answer should involve the tension, T. Under the same assumptions, write an expression for the acceleration, a_2, the block of mass m_2 experiences in the y-direction. Your answer should be in terms of the tension, T and m_2. Carefully consider how the accelerations a_1 and a_2 are related. Solve for the magnitude of the acceleration, a_1, of the block of mass m_1, in meters per square second. Find the magnitude of the tension in the rope, T, in newtons. T =

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Hangs vertically as the rope passes over an ideal (frictionless and massless) pulley.

Which kind of surfaces experience greater frictional force?

  • Since there is no resistance to body motion on smooth surfaces due to lack of unevenness, there is no frictional force.
  • The imperfections between two surfaces that are in touch are what produce friction.
  • The more irrational the surface, the rougher it is and the more friction there is between the two surfaces.
  • Therefore, there is a greater frictional force between rough surfaces.
  • This kind of arrangement of masses is frequently referred to as a modified Atwood machine because the circumstance that is being described is a variant of the Atwood machine.
  • We always begin our approach with the free-body diagram to ensure that the calculation of the acceleration of each mass is error-free.
  • Fnet=ma or aFnetm or aFnet& a1m[m is the object's mass.an is the object's acceleration.The net force exerted on the object is called F n et.]

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