Solving Inclined Plane Motion: Find Force for Acceleration

AI Thread Summary
The discussion revolves around solving a physics problem involving an object on a frictionless inclined plane at a 30-degree angle, with a gravitational force of 17 Newtons acting on it. Key equations include F = m×a for acceleration and the components of forces acting on the object. The user expresses confusion about how to proceed after setting up the equations for motion along the incline. Suggestions include drawing a free-body diagram to clarify the forces and ensuring the correct application of sine and cosine functions for the angle. The focus remains on accurately summing the forces to find the required acceleration force.
Ockonal
Messages
30
Reaction score
0

Homework Statement


There is inclined, smooth plane whish is sloped with angle 30 degrees. Some objects moves on it. The attraction power is 17 Newtons. Find the force which gives acceleration for the body.


Homework Equations


F = m×a;
F_attraction = m×g;
L = 30⁰;
F_friction = u×N;


The Attempt at a Solution


X: ma = N×cos(L) + F - F_friction
Y: 0 = F_attraction×sin(L) + N

Now I'm "freezed"
What to do?
 
Physics news on Phys.org
http://i115.photobucket.com/albums/n283/Baryon/General Physics/Inclined_Coordinate_System.jpg

I'm assuming that's an accurate representation of the plane you've described? And that you're making an attempt to keep your coordinate system in that fashion (x-along the incline, y-perpendicular to the incline)?

In the problem, it says you have a "smooth plane," which to me suggests "frictionless."

Try drawing the free-body-diagram to make sure that you have your component vectors correct; that is, make sure your sines and cosines are indeed where they need to be so that you can sum the forces in either direction accurately.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top