NRamp Force Problem: Find F and Normal Force on 87kg Crate

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In summary, the problem involves a crate with a mass of 87 kg being pushed up a frictionless ramp at a constant speed. The crate is subject to a gravitational force of m*g which can be broken down into two components, Fy and Fx. The goal is to find the magnitude of F and the normal force on the crate. To solve this, first calculate Fx by using the equation F=ma and then use the sum of forces in the x and y directions to solve for F and the normal force.
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Homework Statement


a crate of mass m = 87 kg is pushed at a constant speed up a frictionless ramp (θ = 29°) by a horizontal force F. The positive direction of an x-axis is up the ramp, and the positive direction of a y-axis is perpendicular to the ramp. (a) What is the magnitude of F? What is the magnitude of the normal force on the crate?

Homework Equations


I'm not sure I know F=ma


The Attempt at a Solution



I know gravitational force=mg cos(theta)=87(9.8)(cos(29))=745.7
 
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  • #2
Actually the gravitational force is simply m*g and acts straight down. You are trying to find the two components of the gravitation force or weight in the directions of the shifted x,y coordinates. These components are usually called the perpendicular force 'Fy' and the parallel force 'Fx' (because one acts parallel to the incline and the other perpendicular).

So when you said you calculated the gravitational force you really calculated 'Fy'. Next calculate 'Fx'...

Last you need to sum forces in the x & y directions to solve for your unknowns.
 

1. What is NRamp Force Problem?

The NRamp Force Problem is a physics problem that involves determining the force and normal force acting on a crate on an inclined plane with a non-constant ramp angle.

2. How do you find the force and normal force on an 87kg crate?

To find the force and normal force on an 87kg crate, you will need to use the equations F = ma and N = mgcosθ, where m is the mass of the crate, a is the acceleration due to gravity (9.8 m/s²), g is the force of gravity, and θ is the angle of the inclined plane.

3. What is the purpose of finding the force and normal force on an 87kg crate?

The purpose of finding the force and normal force on an 87kg crate is to understand the forces acting on the crate and how they affect its motion. This can help in determining the crate's stability and how much force is needed to move it up or down the inclined plane.

4. What are some assumptions made in solving the NRamp Force Problem?

Some of the assumptions made in solving the NRamp Force Problem include assuming a frictionless surface, neglecting air resistance, and assuming that the crate is in equilibrium or moving at a constant velocity. These assumptions may not always hold true in real-life scenarios, but they simplify the problem and make it easier to solve.

5. What are some common mistakes to avoid when solving the NRamp Force Problem?

Some common mistakes to avoid when solving the NRamp Force Problem include using the wrong angle for the inclined plane, forgetting to account for the mass of the crate, and using incorrect units. It is important to double-check all inputs and calculations to ensure accuracy in the final answer.

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