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A 1kg flat small box rests on a rough ramp near the SR1 Building of the...

A 1kg flat small box rests on a rough ramp near the SR1 Building of the U of H campus on a Sunday (Dec.the 1st) morning. Weather is fine, no wind and no trepidations: that box is really enjoying a full and complete rest. The Physics-Fairy tells you that the coefficient of static friction between that box and that ramp is 0.711.

You start raising slowly the upper end the ramp (which is a regular wooden plank), whatching if the box is sitting or sliding.  What is the value of the (minimum) angle that ramp makes with the horizontal when the box starts sliding?

Give your answer in radians with two decimals.

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Answer #1

the inclination angle is related to the coefficient of friction by

theta = atan(mu) = 0.618 radians

after the ramp has reached this angle it starts sliding

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  • A 1kg flat small box rests on a rough ramp near the SR1 Building of the...

    A 1kg flat small box rests on a rough ramp near the SR1 Building of the U of H campus on a Sunday (Dec.the 1st) morning. Weather is fine, no wind and no trepidations: that box is really enjoying a full and complete rest. The Physics-Fairy tells you that the coefficient of static friction between that box and that ramp is 0.8. What is the value of the force of static friction for a 0.662 radian angle of that ramp?...

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