When A Mass is Falling from an Inclined Plane

AI Thread Summary
A mass released from rest on a smooth inclined plane at 14 degrees travels 1 meter down the incline, with discussions focusing on calculating the time taken and final velocity. The main confusion arises regarding the angle the mass makes with the ground after leaving the incline and its subsequent motion. Clarification is sought on whether the mass becomes a projectile after reaching the edge of the plane, with the consensus that it does, maintaining its final velocity from the incline. The mass's trajectory changes as it falls, leading to a different angle upon impact with the ground. Understanding this transition is crucial for solving the problem accurately.
Procrastinate
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A mass M is released from rest on a smooth plane inclined to the horizontal at 14 degrees. Find the time taken for the mass to travel 1m down the incline and the velocit attained at the end of that time.

I had no trouble with the first part - measuring the velocity and time for the part where it slides down the inclined plane.

However, the part where I am having trouble with is attempting to find the angle in which the mass makes with the ground and its line of motion when it completes the second part of its journey.

Anyone have any hints to do this? I drew a free body force diagram but I was really confused with the lines of motion.
 
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Hi Procrastinate! :smile:
Procrastinate said:
A mass M is released from rest on a smooth plane inclined to the horizontal at 14 degrees. Find the time taken for the mass to travel 1m down the incline and the velocit attained at the end of that time.

I had no trouble with the first part - measuring the velocity and time for the part where it slides down the inclined plane.

However, the part where I am having trouble with is attempting to find the angle in which the mass makes with the ground and its line of motion when it completes the second part of its journey.

Sorry, I don't understand what the second part of the question is. :confused:

Is the mass leaving the plane? If so, how and why?

(if the plane just comes to and end, then the mass is simply a projectile with the initial speed you found in the first part, at the same angel as the plane)
 
tiny-tim said:
Hi Procrastinate! :smile:


Sorry, I don't understand what the second part of the question is. :confused:

Is the mass leaving the plane? If so, how and why?

(if the plane just comes to and end, then the mass is simply a projectile with the initial speed you found in the first part, at the same angel as the plane)

Sorry, I think I must have looked over a part of the question and forgot to write it down.

A mass is released from rest 2m from the edge of a smooth plane inclined at 26 degrees to the horizontal. After reaching he edge of the plane, the mass falls to the floor,, 2m below.

Find the velocity and and the angle at which the mass strikes to the floor.

I just need a quick explanation of what happens when the mass is falling. Does it maintain the same angle, or does it change? Obviously, it changes because the answer is completely different angle but I just need to know how and I can complete the rest of the question. Thank you.
 
Procrastinate said:
Sorry, I think I must have looked over a part of the question and forgot to write it down.

he he :smile:
… After reaching he edge of the plane, the mass falls to the floor,, 2m below.
…
I just need a quick explanation of what happens when the mass is falling.

It's a free-falling projectile. It starts with the same velocity that the previous part of the motion finished with. :wink:

(ignore reference to angel o:) in my previous post! :biggrin:)​
 

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