PHY 201
Your 'cq_1_17.2' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** **
A 5 kg cart rests on an incline which makes an angle of 30 degrees with the horizontal.
• Sketch this situation with the incline rising as you move to the right and the cart on the incline. Include an x-y coordinate system with the origin centered on the cart, with the x axis directed up and to the right in the direction parallel to the incline.
The gravitational force on the cart acts vertically downward, and therefore has nonzero components parallel and perpendicular to the incline.
Sketch the x and y components of the force, as estimate the magnitude of each component.
What angle does the gravitational force make with the positive x axis, as measured counterclockwise from the positive x axis? Which is greater in magnitude, the x or the y component of the gravitational force?
answer/question/discussion: ->->->->->->->->->->->-> :
I think that the angle of the gravitational force will be the same, 30 degrees. I think that the x component will be greater.
The x axis is no longer horizontal; it is directed up the incline. However the gravitational force is still vertical.
In the rotated coordinate system, what angle does the downward vertical force vector make with the x axis?
#$&*
• Using the definitions of the sine and cosine, find the components of the cart's weight parallel and perpendicular to the incline.
answer/question/discussion: ->->->->->->->->->->->-> :
The definition of sine is: side opposite / hypotenuse. The definition of the cosine is: side adjacent / hypotenuse. I am not sure how to get the weight parallel and perpendicular to the incline from the sides of the vectors??
The Intro Problem Sets assignment for Asst 14 gives you the rules for finding the components of a force, given its magnitude and direction.
#$&*
• How much elastic or compressive force must the incline exert to support the cart, and what is the direction of this force?
answer/question/discussion: ->->->->->->->->->->->-> :
Elastic energy can be obtained by getting the potential energy of the cart. The potential energy is the gravitational energy which would be 5 kg * 9.8 m/s = 49 N. Since the incline is 30 degrees or .30, then the PE will be: 49 N * .30 = 163.33 N.
#$&*
• If no other force is exerted parallel to the incline, what will be the cart's acceleration?
answer/question/discussion: ->->->->->->->->->->->-> :
The acceleration can be found from the net force and the mass, which is: 163.33 N / 5 kg = 32.7 m/s^2. I am not sure about the acceleration????
#$&*
** **
30 minutes
** **
See my notes, then check the link. You will need to do a revision on this one.
&#See any notes I might have inserted into your document. If there are no notes, this does not mean that your solution is completely correct.
Then please compare your solutions with the expanded discussion at the link
Solution
Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified.If your solution is completely consistent with the given solution, you need do nothing further with this problem. &#