Towing two stacked boxes up a ramp

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The discussion centers on calculating the forces and velocity involved in towing two stacked boxes up a ramp, with initial answers provided as approximately 675 N for force (a), 859 N for force (b), and 2.2 m/s for velocity (c). A participant expresses difficulty in obtaining the correct result for question b and seeks guidance. The conversation emphasizes the importance of drawing Free Body Diagrams for both boxes to analyze the forces acting on them. Participants are encouraged to clarify their understanding of the relevant equations needed for the problem. The thread highlights the necessity of following homework help guidelines for effective assistance.
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Homework Statement
A man pulls two boxes along a ramp of length L = 4.75 m and height H = 2.5 m. To do this, he pulls on a rope attached to the first box of mass m1 = 48 kg. The second box has a mass m2 = 32 kg and is placed on top of the first. The coefficient of friction between the first box and the floor is µ1 = 0.444 and the coefficient of friction between the two boxes is µ2 = 0.8.
Relevant Equations
(a) the force to be applied to move the two boxes at a constant speed constant v = 1.5 m/s. (b) the maximum force that can be applied to the string to ensure that the two boxes to remain stationary relative to each other. (c) What will be the speed of the boxes after travelling 1 m?
Answer is (a) F ≃ 675 (N); (b) F ≃ 859 (N) (c) v ≃ 2.2 (m/s).
 
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Sebee_ulg said:
Sorry, I hadn't read the instructions and my question is that I can't find the right result for question b.
Mainly: what is your best effort ?

And: what are the relevant equations you need to get going on this exercise ?

##\ ##
 
Last edited:
Sebee_ulg said:
Sorry, I hadn't read the instructions and my question is that I can't find the right result for question b.
Have you drawn Free Body Diagrams for both boxes?
If they do not stay together, what can you say about the forces between them?
 
Thread 'Chain falling out of a horizontal tube onto a table'
My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...

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