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Show that a cylinder will slip on an inclined plane of inclination angle θ if the coefficient of static friction between plane and cylinder is less than tan θ

Show that a cylinder will slip on an inclined plane of inclination angle θ if the coefficient of static friction between plane and cylinder is less than   tan θ

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
7 years ago
The linear acceleration of the rolling cylinder can be written using Newton’s second law of motion as:
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The frictional force is also responsible for rotating the cylinder, and therefore, the torque due to frictional force gives the angular acceleration,
232-1571_1.PNG
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232-2219_1.PNG232-133_1.PNG

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