A solid sphere of mass \(1 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) rolls without slipping on....

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A solid sphere of mass \(1 \mathrm{~kg}\) and radius \(1 \mathrm{~m}\) rolls without slipping on a fixed inclined plane with an angle of inclination \(\theta=30^{\circ}\) from the horizontal. Two forces of magnitude \(1 \mathrm{~N}\) each, parallel to the incline, act on the sphere, both at distance \(r=0.5 \mathrm{~m}\) from the center of the sphere, as shown in the figure. The acceleration of the sphere down the plane is \(\mathrm{ms}^{-2}\). (Take \(g=10 \mathrm{~ms}^{-2}\).)
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