Help Needed - Two bodies, inclined plane, some friction, and pulley problem

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SUMMARY

The discussion focuses on a physics problem involving two blocks connected by a cord over a pulley, with one block on a frictionless inclined plane and the other on a horizontal surface with friction. Block A has a mass of 4.0 kg and Block B has a mass of 2.0 kg, with a coefficient of kinetic friction of 0.50. The solution requires calculating the tension in the cord and the acceleration of the blocks using the equations of motion and forces acting on the blocks. Key calculations include determining the normal forces and gravitational forces acting on both blocks.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of forces, including gravitational and frictional forces
  • Familiarity with inclined plane mechanics
  • Ability to apply free body diagrams to analyze forces
NEXT STEPS
  • Calculate the tension in the cord using the equation FT = Fg - fk for Block B
  • Determine the net force acting on Block A along the inclined plane
  • Use kinematic equations to find the acceleration of both blocks
  • Explore the effects of varying the angle of the inclined plane on tension and acceleration
USEFUL FOR

Students studying physics, particularly those tackling problems involving dynamics, inclined planes, and pulley systems. This discussion is beneficial for anyone looking to deepen their understanding of forces and motion in a multi-body system.

katzmeow9
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Homework Statement


Block A has mass m = 4.0 kg, and block B has mass m= 2.0 kg. The coefficient of kinetic friction between block B and the horizontal plane is 0.50. The inclined plane is frictionless at the angle 30 degrees and Block A sits on it. The pulley serves only to change the direction of the cord connecting the blocks. The cord has negligible mass. Find (a) the tension in the cord and (b) the magnitude of the acceleration of the blocks.


Homework Equations


FN = Fgx
Fg = mg
a = Fnet/m


The Attempt at a Solution


I found the normal force of block A to be 33.95 N and the Fg to be 39.2 N. For block B, FN should be 19.6 N and fk should be 9.8 N.

Now I'm just confused about what forces cause the tension force (I don't know what to add, subtract, etc. to get FT)

I need help tonight if possible!
 
Physics news on Phys.org
Take the components of mg along the inclined plane. It is in the downward direction. Find the net force acting on it.
Then the acceleration of the sliding body. Equate it to that of the body on the table.
 

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