Solve a problem relating to IMA HELP

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SUMMARY

The discussion focuses on calculating the Ideal Mechanical Advantage (IMA) of an inclined plane, specifically a hill with a 12.5-degree angle. The scenario involves a dolly with a total mass of 72 kg, requiring a constant force of 356.2 N to maintain a constant velocity while pushing it up a distance of 15 m. The formula for IMA is established as IMA = De / Dr, where De is the distance pushed along the incline, and Dr is the vertical distance traveled against gravity. Participants seek to determine the vertical distance (Dr) to complete the IMA calculation.

PREREQUISITES
  • Understanding of basic physics concepts, specifically forces and motion.
  • Familiarity with inclined planes and mechanical advantage calculations.
  • Knowledge of trigonometry, particularly how to calculate vertical distances using angles.
  • Ability to apply Newton's laws of motion in practical scenarios.
NEXT STEPS
  • Calculate the vertical distance (Dr) using trigonometric functions based on the incline angle.
  • Explore the concept of mechanical advantage in different types of simple machines.
  • Investigate the relationship between force, mass, and acceleration in inclined plane scenarios.
  • Learn about the applications of IMA in real-world engineering problems.
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Students studying physics, engineers working with mechanical systems, and anyone interested in understanding the principles of inclined planes and mechanical advantage calculations.

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solve a problem relating to IMA! HELP!

a dolly with cans has a combined mass of 72kg (x 9.8 = Fr) and is pushed up a hill.
the hill has an angle of inclination of 12.5 degrees and the cans are pushed a distance of 15m (De) in a time of 8.21 seconds. a constant force of 356.2 N (Fe) is necessary to push the loaded dolly up the hill at a constant velocity. calculate the following:

ideal mechanical advantage of the inclined plane (hill):IMA = De / Dr

IMA = 15m / Dr

How do I find distance resistance?
 
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That's the distance that the cart travels vertically (against gravity), since without the dolly, you'd have to lift the cans upwards.
 

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