Solving Masses and Pulley for Acceleration and Tension

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SUMMARY

The discussion focuses on solving a physics problem involving two blocks connected by a massless string over a solid disk pulley. The blocks have masses of m1 = 1.80 kg and m2 = 6.05 kg, with the pulley having a radius of R = 0.250 m and mass M = 10.0 kg. The coefficient of kinetic friction is 0.360, and the angle of the incline is θ = 30.0°. The solution involves applying Newton's second law to analyze the forces on each block and calculating the acceleration and tension in the system.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of torque and rotational dynamics
  • Familiarity with the equations of motion for inclined planes
  • Basic grasp of frictional forces and their impact on motion
NEXT STEPS
  • Study the concept of torque in rotational dynamics
  • Learn how to apply Newton's second law to systems involving pulleys
  • Explore the effects of friction on motion in inclined planes
  • Investigate the moment of inertia for different shapes, particularly disks
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Students studying physics, particularly those focusing on mechanics involving pulleys and inclined planes, as well as educators looking for problem-solving strategies in dynamics.

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Homework Statement




A block of mass m1 = 1.80 kg and a block of mass m2 = 6.05 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. These blocks are allowed to move on a fixed block-wedge of angle θ = 30.0° as in Figure P10.37. The coefficient of kinetic friction is 0.360 for both blocks

Determine the acceleration of the two blocks, and the tension on the right side of the pulley.

Homework Equations



tNET=Iw<---omega
I(disk)=(1/2)mr^2

The Attempt at a Solution



I used the equation above for net torque and found that a(tangential)=(r*tNET)/I. I know the tensions of the blocks times the radius gives me the torque but wouldn't one of them be negative? I am also having trouble finding the net forces on the blocks.
 

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00PS said:
I used the equation above for net torque and found that a(tangential)=(r*tNET)/I.
OK.
I know the tensions of the blocks times the radius gives me the torque but wouldn't one of them be negative?
One tension force exerts a clockwise torque, the other a counterclockwise torque.
I am also having trouble finding the net forces on the blocks.
Analyze the forces on each block and apply Newton's 2nd law. That will give you two more equations.
 
thanks Doc, I figured out the problem...I forgot to compensate for the second mass on an incline hence, trig. ughhh...
 

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