Question

Consider an inclined plane with inclination angle theta. The magnitude of the friction force is mu times the magnitude of the normal force. F_f = mu F_N. Find the component of the total force along the plane on a block of mass M sliding down the inclined plane, and the acceleration down the plane. Note that the acceleration is the same for all bodies: it Is independent of the mass M of the body.

Newton's Laws of Motion

Answer 1

Net force F1 = F sin $\Theta$ - $\mu$ mg cos $\Theta$

                      = mg sin $\Theta$ - $\mu$ mg cos $\Theta$

                       = mg ( sin $\Theta$ - $\mu$ mg cos $\Theta$ )

   acceleration a = g (sin $\Theta$ - $\mu$ mg cos $\Theta$ )