#$&*
Phy 121
Your 'cq_1_17.2' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** **
A 5 kg cart rests on an incline which makes an angle of 30 degrees with the horizontal.
Sketch this situation with the incline rising as you move to the right and the cart on the incline. Include an x-y coordinate system with the origin centered on the cart, with the x axis directed up and to the right in the direction parallel to the incline.
The gravitational force on the cart acts vertically downward, and therefore has nonzero components parallel and perpendicular to the incline.
Sketch the x and y components of the force, as estimate the magnitude of each component.
What angle does the gravitational force make with the positive x axis, as measured counterclockwise from the positive x axis? Which is greater in magnitude, the x or the y component of the gravitational force?
answer/question/discussion: ->->->->->->->->->->->-> :
60 degrees and the x is greater
#$&*
@& The positive y axis makes an angle of 60 degrees with the positive x axis.
The gravitational force does not act in the positive y direction; it is downward, not upward.*@
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: ->->->->->->->->->->->-> :
wParallel = wcos(270deg - theta) goes in the direction of x
wPerpendicular= wsin(270deg - theta) goes in the direction of y
@& You are given the mass of the car and the angle of the incline with horizontal so you can answer with specific numerical quantities.*@
#$&*
How much elastic or compressive force must the incline exert to support the cart, and what is the direction of this force?
answer/question/discussion: ->->->->->->->->->->->-> :
vertical downward direction and 90 degrees
@& You can give a specific answer here.*@
#$&*
If no other force is exerted parallel to the incline, what will be the cart's acceleration?
answer/question/discussion: ->->->->->->->->->->->-> :
9.8m/s^2
#$&*
@& If the car was free to accelerate in the vertical downward direction this would be the acceleration. However the incline is in the way.*@
@& Only one component of the acceleration is in the direction of motion allowed by the incline.*@
*#&!*#&!
@&
&#See any notes I might have inserted into your document, and before looking at the link below see if you can modify your solutions. If there are no notes, this does not mean that your solution is completely correct.
Then please compare your old and new solutions with the expanded discussion at the link
Solution
Self-critique your solutions, if this is necessary, according to the usual criteria. Insert any revisions, questions, etc. into a copy of this posted document. Mark any insertions with &&&& so they can be easily identified.If your solution is completely consistent with the given solution, you need do nothing further with this problem. &#
*@
#$&*
Phy 121
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: ->->->->->->->->->->->-> :
60 degrees and the x is greater
#$&*
@& The positive y axis makes an angle of 60 degrees with the positive x axis.
The gravitational force does not act in the positive y direction; it is downward, not upward.*@
Using the definitions of the sine and cosine, find the components of the cart's weight parallel and perpendicular to the incline.
answer/question/discussion: ->->->->->->->->->->->-> :
wParallel = wcos(270deg - theta) goes in the direction of x
wPerpendicular= wsin(270deg - theta) goes in the direction of y
@& You are given the mass of the car and the angle of the incline with horizontal so you can answer with specific numerical quantities.*@
#$&*
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: ->->->->->->->->->->->-> :
vertical downward direction and 90 degrees
@& You can give a specific answer here.*@
#$&*
If no other force is exerted parallel to the incline, what will be the cart's acceleration?
answer/question/discussion: ->->->->->->->->->->->-> :
9.8m/s^2
#$&*
@& If the car was free to accelerate in the vertical downward direction this would be the acceleration. However the incline is in the way.*@
@& Only one component of the acceleration is in the direction of motion allowed by the incline.*@
*#&!*#&!
@&
&#See any notes I might have inserted into your document, and before looking at the link below see if you can modify your solutions. If there are no notes, this does not mean that your solution is completely correct.
Then please compare your old and new 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. &#
*@