A force F pushes a block weighing 120 N against an inclined plane, inclined at an angle θ = 37°, as shown in the figure. The coefficients of static and kinetic frictions between the plane and the block are 0.45 and 0.15, respectively. The block is at rest initially. (Take g = 10 m/s²; sin 37° = 0.6; cos 37° = 0.8)
Part A: Find the minimum magnitude F that will keep the block at rest against the plane.
Part B: Assume that the block has started sliding down. Find the magnitude F that will keep the block moving with constant velocity.
Part C: Find the magnitude F if the block moves down the plane with constant acceleration of 2.0 m/s².