Acceleration, friction, pulleys

AI Thread Summary
The discussion revolves around calculating the acceleration of a system involving a 27.5kg box and a 13.75kg box connected by a frictionless pulley. The initial question seeks clarification on whether the acceleration calculation includes both horizontal and vertical components, and how to isolate the downward acceleration. There is confusion about the setup, specifically whether both boxes are suspended or if one is on a surface. Ultimately, the original poster resolves their query independently. The conversation highlights the importance of clearly defining physical setups in physics problems.
jshaner858
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a 27.5kg box is connected to a 13.75kg box on a frictionless pulley. my question is if you calculate the acceleration does that include horizontal and vertical acceleration, and if so, how do you just find the downward acceleration?
 
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This is too vague, please explain the setup better. Are they both in the air, one on a table the other in the air?
 
nevermind, i figured it out myself...thanks
 
my work here is done! :-P
 
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 .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

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