What Is the Tension Required for the Box to Slip on a Snow-Covered Hill?

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Homework Help Overview

The problem involves a wood sled and a box on an incline, focusing on the tension required for the box to slip off the sled as it is pulled up a snow-covered hill. The scenario includes specific masses and an incline angle but lacks information about friction.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to consider the friction between the box and the sled, noting that the absence of this information complicates the analysis. There are attempts to calculate the tension based on weight components, but discrepancies arise regarding the role of friction.

Discussion Status

The discussion is ongoing, with participants highlighting the missing coefficient of friction as a critical factor. Some suggest that without friction, the box would inevitably slide, while others emphasize the need for further information to proceed with calculations.

Contextual Notes

The problem statement does not provide the coefficient of friction, which is essential for determining the conditions under which the box will slip. This missing information is a focal point of the discussion.

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Homework Statement


A rope attached to a 18.0kg wood sled pulls the sled up a 22.0 degree snow-covered hill. A 9.00kg wood box rides on top of the sled.

Mass of Sled: 18kg
Mass of Box: 9kg
Angle of Incline: 22 Deg

If the tension in the rope steadily increases, at what value of the tension does the box slip?

Homework Equations


F=ma

The Attempt at a Solution


So I tried getting the overall tension that keeps the sled and box in equilibrium. So the tension is equal to the weight component down the slope which would be (27)(9.8)(sin 22). That gives that the tension is ~99N. So anything over that would make it slip but nope... apparently it's wrong.
 
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Consider the friction between box and sled. (Looks like information is missing from your problem statement.)
 
The friction is not given in the problem.
 
octopus41092 said:
The friction is not given in the problem.
If there's no friction between box and sled, the box will slide. Does your book give a coefficient of friction for wood on wood?
 
you need the coefficient of friction between box and sledge and then work with fbd of box and sled
 

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