Solving Box Pulling Problem: Accelerating Comics to Stuart's Store

AI Thread Summary
To solve the box pulling problem, the forces acting on the box must be analyzed, including the applied force, friction, and gravitational force. The applied force of 90 N at a 30-degree angle needs to be broken down into its horizontal and vertical components using trigonometric functions. The coefficient of kinetic friction is 0.5, which affects the net force and ultimately the acceleration of the box. The final calculated acceleration is 0.12 m/s², confirming the solution. Drawing a force vector diagram is essential for visualizing the forces involved in the problem.
Evan Johnson
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Homework Statement


Sheldon moves a box of comic books to stuarts comic book store by attaching a rope to the box and pulling with a force of 90 N at an angle of 30. The box of comic books has a mass of 20 kg and the coefficient of kinetic friction between the bottom of the box and the sidewalk is .5. Find the acceleration of the box

Homework Equations


F=ma

The Attempt at a Solution


i know the answer is A=.12 m/s^2 but i have no idea how to get to that answer, please explain!
 
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Draw the force vectors. You have not even started to solve such a problem until you have drawn the force vectors.
 
i did i drew a fbd
 
and i think its Facos(30) for x-axis and Fasin(30) for y axis
 
I say again, draw the force vector diagram (and show it here).
 
I actually just figured it out! :) but thanks for your help anyways!
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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