A penguin of mass, m, is on an inclined surface (hill), as shown in the diagram. The inclined surface is at an angle of e from the flat ground. The coefficient of static friction, µs = 0.498 and the coefficient of kinetic friction, H; = 0.295. Also assume there is a force from gravity (i.e. the weight, W = mg, is pointed straight down towards the ground, as always). a) Draw a free body diagram for the penguin, with the coordinate system rotated so that the x-axis is parallel to inclined plane (see Lecture 18, slide 5 for an example). You must draw the coordinate system like we do in class. Label all forces. Note: in this coordinate system, the weight is not aligned with x or y, so make sure you also draw and label the components of the weight vector. Write the components of weight in terms of m, g, and 0.

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A penguin of mass, m, is on an inclined surface (hill), as shown in the diagram. The inclined surface is at
an angle of 0 from the flat ground. The coefficient of static friction, µs = 0.498 and the coefficient of
kinetic friction, Hg = 0.295. Also assume there is a force from gravity (i.e. the weight, W = mg, is pointed
straight down towards the ground, as always).
a) Draw a free body diagram for the penguin, with the coordinate system rotated so that the x-axis
is parallel to inclined plane (see Lecture 18, slide 5 for an example). You must draw the
coordinate system like we do in class. Label all forces. Note: in this coordinate system, the
weight is not aligned with x or y, so make sure you also draw and label the components of the
weight vector. Write the components of weight in terms of m, g, and 0.
Transcribed Image Text:A penguin of mass, m, is on an inclined surface (hill), as shown in the diagram. The inclined surface is at an angle of 0 from the flat ground. The coefficient of static friction, µs = 0.498 and the coefficient of kinetic friction, Hg = 0.295. Also assume there is a force from gravity (i.e. the weight, W = mg, is pointed straight down towards the ground, as always). a) Draw a free body diagram for the penguin, with the coordinate system rotated so that the x-axis is parallel to inclined plane (see Lecture 18, slide 5 for an example). You must draw the coordinate system like we do in class. Label all forces. Note: in this coordinate system, the weight is not aligned with x or y, so make sure you also draw and label the components of the weight vector. Write the components of weight in terms of m, g, and 0.
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