You want to drag a 150 kg wooden box up a 25° slope into a moving truck. The coefficient of static friction between the wooden box and the wooden slope is μ, = 0.5. What is the minimum tension force T you need to apply to the rope so the box starts moving? (a) Draw a coordinate system and all forces on the picture. (b) Draw a complete Free-Body Diagram. (c) Derive equations for x- and y-components. (d) Solve for the minimum tension force T. T 0=25° Continuing your work from Problem 4, the rope you used was not strong 0.2, enough to support your 150 kg wooden box and broke. Turns out you used cheap twine rather than sturdy rope. Given the coefficient of kinetic friction between the wooden box and the wooden slope is μk = calculate the acceleration of your wooden box as it slides down the slope. What is the acceleration of your wooden box down the slope if your rope breaks? (a) Draw a complete Free-Body Diagram (adjusted from Problem 4). (b) Derive equations for x- and y-components. (c) Solve for the acceleration a.

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Chapter1: Units, Trigonometry. And Vectors
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do the one in yellow and the one above it can be used to help solve the one on the b

You want to drag a 150 kg wooden box up a 25° slope into a moving truck. The coefficient
of static friction between the wooden box and the wooden slope is μ, = 0.5.
What is the minimum tension force T you need to apply to the
rope so the box starts moving?
(a) Draw a coordinate system and all forces on the picture.
(b) Draw a complete Free-Body Diagram.
(c) Derive equations for x- and y-components.
(d) Solve for the minimum tension force T.
T
0=25°
Continuing your work from Problem 4, the rope you used was not strong
0.2,
enough to support your 150 kg wooden box and broke. Turns out you used cheap twine rather than sturdy
rope. Given the coefficient of kinetic friction between the wooden box and the wooden slope is μk =
calculate the acceleration of your wooden box as it slides down the slope.
What is the acceleration of your wooden box down the slope if your rope breaks?
(a) Draw a complete Free-Body Diagram (adjusted from Problem 4).
(b) Derive equations for x- and y-components.
(c) Solve for the acceleration a.
Transcribed Image Text:You want to drag a 150 kg wooden box up a 25° slope into a moving truck. The coefficient of static friction between the wooden box and the wooden slope is μ, = 0.5. What is the minimum tension force T you need to apply to the rope so the box starts moving? (a) Draw a coordinate system and all forces on the picture. (b) Draw a complete Free-Body Diagram. (c) Derive equations for x- and y-components. (d) Solve for the minimum tension force T. T 0=25° Continuing your work from Problem 4, the rope you used was not strong 0.2, enough to support your 150 kg wooden box and broke. Turns out you used cheap twine rather than sturdy rope. Given the coefficient of kinetic friction between the wooden box and the wooden slope is μk = calculate the acceleration of your wooden box as it slides down the slope. What is the acceleration of your wooden box down the slope if your rope breaks? (a) Draw a complete Free-Body Diagram (adjusted from Problem 4). (b) Derive equations for x- and y-components. (c) Solve for the acceleration a.
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