Calculating Forces on a Crate on a Frictionless Ramp

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To solve the physics problem involving a crate on a frictionless ramp, the mass of the crate is 210 kg and the ramp angle is 26.0°. The normal force cannot be calculated simply as mg cos(θ) due to the presence of the horizontal force F. Instead, all forces acting on the crate, including gravitational force (Fg), the horizontal force (F), and the normal force (Fn), must be considered to apply equilibrium conditions. Understanding the interaction of these forces is crucial for accurately determining the magnitude of the normal force exerted by the ramp on the crate.
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please help me with this phy problem, thx

In Figure 5-39, a crate of mass m = 210 kg is pushed at constant speed up the frictionless ramp ( = 26.0°) by a horizontal force F.

http://www.webassign.net/hrw/hrw7_5-39.gif

What is the magnitude of the force exerted by the ramp on the crate?




I use m*g to find Fg, and then using Fg*cos⊙(26) to find Fn(normal Force) but I got it wrong, can anybody help me, thx.
 
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The normal force would be mg cos\theta only if there were no horizontal force F. Instead, consider all the forces acting on the crate (I see three) and apply the conditions for equilibrium.
 
three? is it Fg, F and Fn?
 
1stcool said:
three? is it Fg, F and Fn?
That's correct.
 
Doc Al said:
That's correct.
ok, thanks Doc Al
 

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