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A cylinder rolls down an inclined plane of angle θ. Show, by direct application of Eq. 10-9 that the acceleration of its center of mass is sin θ. Compare this method with that used in Sample Problem 9-11.

A cylinder rolls down an inclined plane of angle θ. Show, by direct application of Eq. 10-9 that the acceleration of its center of mass is  sin θ. Compare this method with that used in Sample Problem 9-11.
 

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 years ago
232-79_1.PNG
The figure below shows the cross-sectional view of the cylinder rolling down the inclined plane without slipping.
232-2480_1.PNG
The motion of the cylinder along the inclined plane can be described using Newton’s second law as:
232-907_1.PNG
This method is almost similar to method of sample problem 9-11.

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