A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg , kept on a

Question

A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg , kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is\

Professor PC Thomas Classes · Answer

(a) : $F=49 \mathrm{~N}, m=20 \mathrm{~kg}$ \ Balancing moment of force about $P$\ $	au=I \alpha=F 	imes 2 r$\ $\left(\frac{2}{5} m r^{2}+m r^{2}ight) \alpha=49 	imes 2 	imes r$\ $\frac{7}{5} m r . r \alpha=98 r \Rightarrow \frac{7}{5} 	imes 20 \cdot a=98$\ $a=3.5 \mathrm{~m} / \mathrm{s}^{2}$\