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A teacher has been asked by his mom to clean some of his spare physics stuff out of the basement. To do so, he puts

A teacher has been asked by his mom to clean some of his spare physics stuff out of the basement. To do so, he puts a ramp on the stairs which are at an angle of above the horizontal. The crate of stuff has a mass C but mass D (a cat) jumps on top of it. Despite this, the teacher pulls on the rope and manages to make the crate and cat accelerate up the ramp together at a rate of A. As the crate accelerates, the cat remains stationary on top if it. Note that there is no friction between the ramp and the crate but there is some coefficient of friction between the cat and the crate and we call it .

QUESTIONS: 1a: Is the type of friction found between the cat and the crate static or kinetic friction?

1b: What is the maximum acceleration (A) the teacher can get without the cat slipping off the box? Answer in terms of g, , and only.

1c: Assuming the cat doesn't slip, what is the tension in the rope? Answer in terms of g, , C, D, and only.

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