In the figure, a constant horizontal force F _app of magnitude 60.0 N is applied

Question

In the figure, a constant horizontal forceF_app of magnitude 60.0 N is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is 21.8 kg, its radius is 0.402 m, and the cylinder rolls smoothly on the horizontal surface. (a) What is the magnitude of the acceleration of the center of mass of the cylinder? (b) What is the magnitude of the angular acceleration of the cylinder about the center of mass? In unit-vector notation, what is the frictional force acting on the cylinder ((c), (d) and (e) fori , j andk components respectively)?

(It will not allow me to upload the picture, but it is simple...just picture a yo-yo with the string (F_app) at the top of the yo-yo pointed to the right, parallel to the x-axis)

O-->F_app

Explanation / Answer

a) 2F=(3/2) ma so a=3.67 m/s^2 b)torque = I*angular acc. angular acc = a/R =9.12 rad/s^2 c)frictional force= (ma/2)-F =20N

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