Suggestions on Forces/Kinetic Problem

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SUMMARY

The discussion centers on solving a forces and kinetic problem involving a weight on a ramp at a 60-degree angle and a second mass hanging from a pulley system. The first mass, when released, travels in projectile motion and impacts a target at a specified distance and height. Key steps in the solution include visualizing the scenario, applying Newton's laws of motion, calculating acceleration using F=ma, and utilizing kinematic equations to find the initial velocity and time of flight. The final calculations involve determining the mass of the hanging weight using the established equations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with kinematic equations
  • Basic knowledge of projectile motion
  • Ability to visualize and sketch physics problems
NEXT STEPS
  • Study Newton's second law (F=ma) in detail
  • Learn about kinematic equations for projectile motion
  • Explore the concepts of tension in pulley systems
  • Practice visualizing and sketching physics problems for better understanding
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Physics students, educators, and anyone looking to enhance their problem-solving skills in mechanics and dynamics involving forces and motion.

dekoi
I have completed this problem; however, i am wondering how the rest of you -- more experienced -- students/teachers perform such a problem. How do you personally begin a problem like this (do you first attempt to visualize it, etc.).

I can not recall the main variables, although i will try to outline the problem.

One weight is on a ramp at e.g. 60 degrees. There is a second mass attached to the first and hanging at the end of the ramp (pully system). You are not given the mass of the second mass, but are given the mass of the first. Once the pully system is begun, the first mass on the ramp flies off (in a projectile motion) the ramp and hits a target. You are given the distances of the ramp, and from the end of the ramp to the target. You are also given the heigh of the target.

Personally, i calculated for the velocity the projectile has (its initial velocity) at the end of the ramp. I then calculated for acceleration. Then used the acceleration in the forces equations for the pully system to solve for m2.

Thank you.
 
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I'm sorry to sound arrogant, but this is the second thread (posted by me, and another by someone i know) that has not been asnwered in the Homework Help Zone. I am unsure why however, since PF has always been so informative to me and others . I am also confused whether my questions are too abstract and should be much more direct. :) --> :(
 
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As an experienced physics student/teacher, I would approach this problem by first visualizing the scenario and identifying the main variables involved. In this case, the main variables would be the angle of the ramp, the masses of the two objects, the distance of the ramp, and the height of the target. I would also make a rough sketch of the situation to help me better understand the setup.

Next, I would use Newton's laws of motion to analyze the forces acting on the objects. In this problem, we have a weight on a ramp at an angle, and a hanging mass attached to it. The forces acting on the weight would be its weight (mg) and the normal force from the ramp. The hanging mass would experience the force of gravity (mg) and the tension in the rope connecting it to the weight.

Using these forces, I would then apply Newton's second law (F=ma) to calculate the acceleration of the system. From there, I would use kinematic equations to determine the velocity of the weight at the end of the ramp. This would give me the initial velocity for the projectile motion.

Next, I would use the projectile motion equations to determine the time of flight and the horizontal distance traveled by the weight. With this information, I would be able to calculate the acceleration of the hanging mass using Newton's second law. This would allow me to solve for the mass of the hanging mass.

Finally, I would use the given distances and the height of the target to calculate the final velocity of the weight at the time of impact. This would complete the problem and provide a solution.

Overall, my approach would involve visualizing the problem, identifying the main variables, and using Newton's laws and kinematic equations to solve for the unknowns. I hope this helps and congratulations on completing the problem!
 

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