Block sliding down an incline plane with a cord connected to a cylinder.

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SUMMARY

This discussion focuses on calculating the speed of a block sliding down an inclined plane connected to a cylinder via a cord. Two scenarios are analyzed: one without friction and another with a coefficient of friction (μ = 0.035). The solution involves understanding the forces acting on the block, including gravitational force and normal force, as well as the torque applied to the cylinder. Participants emphasize the importance of drawing a free body diagram (FBD) to visualize the forces involved in the problem.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with concepts of torque and rotational dynamics
  • Knowledge of free body diagrams (FBD)
  • Basic principles of friction and normal force calculations
NEXT STEPS
  • Study the principles of torque in rotational motion
  • Learn how to calculate normal force in inclined planes
  • Explore the effects of friction on motion and acceleration
  • Practice drawing and analyzing free body diagrams (FBD) for various scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of inclined plane problems and the effects of friction on motion.

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Homework Statement


A cord connected at one end to a block which can slide on an inclined plane has its other end wrapped around a cylinder resting in a depression at the top of the plane as shown in the figure. Determine the speed of the block after it has traveled 1.70 m along the plane, starting from rest for the following circumstances.

10-72.gif


(a) Assume there is no friction.
(b) Assume the coefficient of friction between all surfaces is μ = 0.035. [Hint: First determine the normal force on the cylinder, and make any reasonable assumptions needed.]

Homework Equations





The Attempt at a Solution


Where should I start? I know this has something to do with torque but I don't know how to calculate it.
 
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Draw a FBD for the block and put in all the forces acting on the block.
 

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