I have a block of ice sliding down a FRICTIONLESS ramp with an accelleration of 5.3 m/s.s.. If the ramp makes an angle of 32.7 degrees with the horizontal , find g, the acceleration due to gravity.
This is using the application of vectors, the only way that I can solve this.
But I am not sure. what to do, help get me started please.
October 28th 2010, 04:06 PM
Draw a figure. Always when you have a problem in classical kinematics and kinetics, draw a figure. There's a reason every single textbook on classical mechanics include a section about free body diagrams.
In this case, you have an inclining plane and a block on it. There are two forces involved - identify which they are and add them into the figure in the appropriate place. Gravity acts at the center and so on.
Also, don't forget to specify a set of coordinates. The convention for this type of problem is to have the positive x-direction in the direction of motion along the incline of the plane, and the positive y-direction then becomes in the direction of the normal force from the plane on the block.
After that it's application of Newton's second, F = ma all the way.