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Question 3. A nonuniform bar of mass m and length L is pin supported at P from a block which moves on a horizontal track, as shown in Figure 3 below. The coefficients of static and dynamic frictions between the block and the track are denoted by us and μk. The bar has a radius of gyration ke about point G; the distance from centre of mass G and point P is d. Neglect the mass of the block. A horizontal force F is applied to the bar at point P while it is at rest in the position shown in Figure 3 below. Assuming the force F is large enough to cause the block to slide, immediately after the force F is applied: (a) Draw the free-body-diagram of the rod showing all the forces acting on [4 marks] it. (b) Obtain an expression for the angular acceleration of the rod in the fixed [8 marks] frame A (AB, with B denoting the rod) in terms of a3 unit vector. (c) Obtain an expression for the acceleration of point P in the fixed frame A in terms of unit vectors of A. [14 marks]