How Does Friction Affect Momentum on an Inclined Plane?

AI Thread Summary
Friction significantly impacts the momentum of a block transitioning from an inclined plane to a horizontal surface. The problem involves calculating the block's distance traveled after leaving the incline, considering the angle of inclination, height, and friction coefficients. The key point of confusion is the velocity of the block upon entering the horizontal plane, where the solution incorporates friction's effect, stating that the initial horizontal velocity is reduced by the term (miu) * sin(alpha). This adjustment accounts for the frictional force acting against the block's motion on the horizontal surface. Understanding this relationship is crucial for accurately determining the block's trajectory after it leaves the inclined plane.
RingNebula57
Messages
56
Reaction score
2
Hello everyone, I have this problem at which I don't understand the solution. So we have an inclined plane and a block of mass m standig on it , at it's highest point. Knowing the angle of the inclined plane(alpha) , the height of the inclined plane, the friction coefficient between the 2 objects (miu) and that is the same with the friction coefficient of the horizontal plane( the inclined plane is fixed) , and that the horizontal plane and the inclined plane ARE NOT CONNECTED to each other we have to dermine the distance traveled by the block after leaving the inclined plane.

The thing that I didn't understand is the conservation of momentul on the horizontal axis. If we say that the velocity of the block , before entering the horizontal surface is v ( that can be found via cnoservation of total energy of the system) , than I would say that, because we consider the time for the object to "hop" from the inclined plane to the horizontal one almost instantaneous, the momentum on the vertical direction cancels and so the velocity at the beginning of the horizontal plane would be v'=v * cos(alpha) . What the solution is saying is that this speed is v'= v* (cos(alpha) - (miu)* sin(alpha) )
Why?

Thank you
 
Physics news on Phys.org
Do you have a diagram? How do you understand the fact that they "are not connected"?
 

Thread '1:1 versus 2:1 Mechanical Advantage debate'

The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
View full post »

Thread 'Newton's first law?'

Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
View full post »

Thread 'Free fall of person in a sled to direct horizontal motion by atmospheric resistance'

Let there be a person in a not yet optimally designed sled at h meters in height. Let this sled free fall but user can steer by tilting their body weight in the sled or by optimal sled shape design point it in some horizontal direction where it is wanted to go - in any horizontal direction but once picked fixed. How to calculate horizontal distance d achievable as function of height h. Thus what is f(h) = d. Put another way, imagine a helicopter rises to a height h, but then shuts off all...
View full post »

Similar threads

B Normal Force Discrepancy for Wedge Vs. Ramp
Replies
9
Views
3K
B Can energy be decomposed?
Replies
2
Views
1K
Understanding Static Friction on a Ramp: Why is the Object Stationary?
Replies
4
Views
3K
B How Does Inclined Load Affect Weight Distribution When Moving a Cabinet?
Replies
1
Views
1K
I How does a screw roll down an inclined plane?
Replies
5
Views
3K
Is there a better method to solve the Box Tipping on Inclined Plane problem?
Replies
1
Views
6K
Rope between inclines with maximum length of hanging middle portion
Replies
46
Views
2K
Projectile motion on an inclined plane
Replies
7
Views
2K
B Normal force in case of inclined plane and banked turn
Replies
3
Views
2K
Do Mass and Friction Affect Velocity on an Inclined Plane?
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top