As shown in Figure 1, the green surface (B) is frictionless. However, there is a friction between the red surface (A) and the cube number (3) with kinetic friction constant (HR) and static friction constant (u,) (values are shown in Table 1). Each student should satisfy the following requirements: 1. Find the minimum angle between the red surface and the horizontal (theta,6) that allows the cube to start slipping. (20 marks) Hint: Use this angle in next calculations. 2. Calculate the minimum height (H) that allows the cube (3) to impact with part (1) and stretch the spring 30 mm then slightly push the ball (4). The spring contestant is shown in Table 1. The impact between the cube and part (1) is plastic. (20 marks) 3. Calculate the moment of inertia of part (2) about its point of revolution: point (A) (about z axis) which is shown in Figure 1. (30 marks) 4. Determine the angular velocity of part (2) just after the impact (The impact between the ball (4) and the right edge of part (2). The impact is plastic. (30 marks) utace sutoce A Point A TRUE RS 00 130.00 300 00 00 2