Lets say you have a box at the bottom of a frictionless ramp and you give it a velocity (X) of lets say 10 m/s, so that when it gets on the ramp, the components velocities would be:(adsbygoogle = window.adsbygoogle || []).push({});

Vx = 10 * cos (angle)

Vy = 10 * sin (angle)

then once it gets ontp the ramp, the gravitational acceleration changes from

being -9.81 m/s^2 down (Y) to a combination of X and Y acceleration.

I am trying to find the X and Y acceleration, I have been looking at the diagram of the ramp and box and have drawn my force lines to indicate which direction everthing has a force exserted on it, but when I goto calculate the acceleration I get very confused.

So lets just say in this example the ramp is at an angle of 50 degrees, the box has in initial X velocity (before the ramp) of 10 m/s and we will esimate gravitational acceleration at -10 m/s^2.

so we now have the box on the ramp with:

Vx = 10 * cos (60) = 5 m/s

Vy = 10 * sin (60) = 8.7 m/s

acceleration X = ? -10 * sin (60) = -8.7 m/s^2 ?

acceleration Y = ? -10 * cos (60) = -5 m/s^2 ?

is that right? or is it:

acceleration Y = ? -10 * sin (60) = -8.7 m/s^2 ?

acceleration X = ? -10 * cos (60) = -5 m/s^2 ?

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# Homework Help: Box and Ramp problem

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