Sample Problem Force And Motion

Sample Problem Force And Motion

In the overhead view of  cookie tin is accelerated in the direction shown by a, over a friction less horizontal surface.

SOLUTION: One Key Idea here is that the pet force on the tin is the sum of the three forces and is related to the acceleration a of the tin via Newton’s  law Thus,

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A second Key Idea is that this is a two-dimensional problem; so we cannot find merely by substituting the magnitudes for the vector quantities on the right side . We must vector the reverse the reverse as is shown.

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An overhead view of two of three horizontal forces that act on a cookie tin, resulting in acceleration ii. F3 is not shown. (b) An aqangement of vectors md, - FI' and - ~ to find force F3•
An overhead view of two of
three horizontal forces that act on a cookie tin, resulting in acceleration
is not shown. (b) An arrangement of vectors
 to find force.

 

 

 

 

 

 

 

 

 

 

Then, substituting known data, we find

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Similarly, along the y axis we find

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We can now use a vector-capable calculator to get the magnitude and the angle .We can also use obtain the magnitude and the angle (from the  positive direction of the x axis) as

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