A frictionless incline with a block sliding down it....

In summary, the conversation discusses a frictionless incline with a block of mass m sliding down the slope at an angle with the horizontal. The conversation also asks for a free-body diagram, a description of the forces acting on the block, the magnitude of the normal force, and the magnitude of the acceleration of the block down the slope. However, no numerical values are provided, making it a theoretical problem.
  • #1
Ella1777
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Member advised to use the formatting template for all homework help requests
A frictionless incline (the triangle below) is bolted to the floor so that it can not move. A block of mass m slides down the slope, which makes an angle
theta.gif
with the horizontal.a)Draw a free-body diagram for the block, labeling all forces uniquely.

b)Describe all the forces listed above in the following format:F1 acts on ________________ and is caused by _________________ .c)What is the magnitude of the normal force acting on the block?d)What is the magnitude of the acceleration of the block down the slope?Here is my problem the first part I'm sure I'm right since it was just a free body diagram.
The only information given was a right triangle and a block inclined on it. The problem is nothing else was given except for a theta | \
----- theta is at bottom right corner.

That is all that was given I don't see how in the world I can solve these with such little information unless they're just asking for the formula please help asap!
Thank you!
 

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  • #2
They are asking for a non-numerical solution. One that you could plug numbers into if you had specifics. This is a perfectly reasonable type of problem.
 
  • #3
phinds said:
They are asking for a non-numerical solution. One that you could plug numbers into if you had specifics. This is a perfectly reasonable type of problem.
Thank you thank you! I was not sure.
 

1. What is a frictionless incline?

A frictionless incline is a hypothetical surface that has no friction or resistance to motion. This means that when an object is placed on the incline, it will slide down without slowing down due to friction.

2. How is the acceleration of an object on a frictionless incline calculated?

The acceleration of an object on a frictionless incline is calculated using the equation a = gsinθ, where a is the acceleration, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the incline.

3. Does the mass of the object affect its acceleration on a frictionless incline?

No, the mass of the object does not affect its acceleration on a frictionless incline. This is because in the absence of friction, all objects will accelerate at the same rate regardless of their mass.

4. What is the relationship between the angle of the incline and the acceleration of an object on a frictionless incline?

The angle of the incline and the acceleration of an object on a frictionless incline have an inverse relationship. This means that as the angle of the incline increases, the acceleration of the object decreases.

5. Can an object reach a constant velocity on a frictionless incline?

Yes, an object can reach a constant velocity on a frictionless incline if it is allowed to slide down the incline for a long enough time. This is because in the absence of friction, there is no force acting on the object to slow it down, and it will continue to move at a constant velocity once it reaches it.

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