Solving for Time: Piano Falling Down Ramp

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SUMMARY

The discussion focuses on calculating the time it takes for a piano to slide down a 3-meter ramp inclined at a 20-degree angle, assuming no friction. The relevant equation for this problem is Xf = Xi + Vi t + 0.5at², where initial velocity (Vi) is confirmed to be 0 m/s. The main challenge lies in determining the acceleration (a) of the piano as it moves down the ramp, which requires a free body diagram to analyze the forces acting on the piano.

PREREQUISITES
  • Understanding of kinematic equations, specifically Xf = Xi + Vi t + 0.5at²
  • Basic knowledge of physics concepts such as acceleration and forces
  • Ability to create and interpret free body diagrams
  • Familiarity with trigonometric functions to resolve forces along the ramp
NEXT STEPS
  • Calculate the acceleration of the piano using gravitational force components along the ramp
  • Learn how to draw and analyze free body diagrams for inclined planes
  • Explore the effects of friction on motion down an incline
  • Study the relationship between angle of inclination and acceleration in physics
USEFUL FOR

Students studying physics, particularly those focused on kinematics and dynamics, as well as educators looking for practical examples of motion on inclined planes.

blee2x2
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You have a piano that you have just pushed to the top of the 3m long ramp that goes into the truck. The ramp is at a 20-degree angle. You think your friend has a grip on it and she think you do when you all let go. How long do you have before the piano gets to the bottom of the ramp? Assume no friction.

1. Homework Statement

How long will it take for the piano at the top of the ramp to get to the bottom of the ramp.
We know the length of the ramp is 3 meter and is angled 20 degrees to the truck. There is no friction.

Can we assume initial velocity is 0m/s?

Homework Equations


Xf = Xi + Vi t + .5at^2

The Attempt at a Solution


i am not quit sure if i am using the right equation to solve for time here.
 
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blee2x2 said:
You have a piano that you have just pushed to the top of the 3m long ramp that goes into the truck. The ramp is at a 20-degree angle. You think your friend has a grip on it and she think you do when you all let go. How long do you have before the piano gets to the bottom of the ramp? Assume no friction.

1. Homework Statement

How long will it take for the piano at the top of the ramp to get to the bottom of the ramp.
We know the length of the ramp is 3 meter and is angled 20 degrees to the truck. There is no friction.

Can we assume initial velocity is 0m/s?

Homework Equations


Xf = Xi + Vi t + .5at^2

The Attempt at a Solution


i am not quit sure if i am using the right equation to solve for time here.
Yes, initial velocity is zero, and that is the right equation to use, but what will the acceleration be?
 
EDIT: Posted before seeing post #2

blee2x2 said:
Can we assume initial velocity is 0m/s?

Yes, I would think so.

Homework Equations


Xf = Xi + Vi t + .5at^2

The Attempt at a Solution


i am not quit sure if i am using the right equation to solve for time here.

That equation will work.

The hard part is finding a (acceleration parallel to the ramp). Have you drawn a free body diagram of the piano?
 

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