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

In summary, the problem involves a cord connected to a block on an inclined plane, with the other end of the cord wrapped around a cylinder at the top of the plane. The goal is to determine the speed of the block after it has traveled 1.70 m along the plane, starting from rest. The two given circumstances are: (a) no friction, and (b) a coefficient of friction of μ = 0.035 between all surfaces. The solution involves drawing a free body diagram and considering the forces acting on the block.
  • #1
unrulypanda
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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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  • #2
Draw a FBD for the block and put in all the forces acting on the block.
 

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

What is a block sliding down an incline plane with a cord connected to a cylinder?

A block sliding down an incline plane with a cord connected to a cylinder is a classic physics problem that involves the motion of a block as it slides down an inclined plane while connected to a cylinder by a cord or string.

What are the key components of this problem?

The key components of this problem are the block, the incline plane, the cord, and the cylinder. These objects all interact with each other and play a role in the motion of the block.

What are some real-life examples of this scenario?

This scenario can be seen in various real-life situations, such as a roller coaster car going down a track, a ball rolling down a hill, or a sled sliding down a snowy slope.

What factors affect the motion of the block in this scenario?

The motion of the block is affected by several factors, including the angle of the incline, the mass of the block and cylinder, the coefficient of friction between the block and the incline, and the tension in the cord.

What equations can be used to analyze this problem?

The equations that can be used to analyze this problem include Newton's second law of motion, the equations of motion for uniform acceleration, and the equation for the force of friction. These equations can help determine the acceleration, velocity, and displacement of the block as it moves down the incline.

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