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9. A 1.90 kg box rests on a plank that is inclined at an angle of...

9. A 1.90 kg box rests on a plank that is inclined at an angle of 29° above the horizontal. The upper end of the box is attached to a spring with a force constant of 18 N/m, as shown in the figure. If the coefficient of static friction between the box and the plank is 0.79, what is the maximum amount the spring can be compressed and the box remain at rest?

9. A 1.90 kg box rests on a plank that is inclined

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Answer #1

Making a free-body diagram, we find that the component of the box's weight normal to the surface of the incline is given by

The force of friction is therefore given as:

The maximum corresponding compression of the spring is given as:

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