50 N cs/m L M kg PO k N/m 0.5 m 1.5 m Figure Q1(a) x(1), mm 8 4 2 t, s 0.1 0.2 0.3/0.4 0.5 0.6 Figure Q1(b)

A=2
B=3

Z=9

Extracted text: 50 N cs/m L M kg PO k N/m 0.5 m 1.5 m Figure Q1(a) x(1), mm 8 4 2 t, s 0.1 0.2 0.3/0.4 0.5 0.6 Figure Q1(b)


Extracted text: (b) Figure Ql(a) shows a design of mechanical system for stamping process that consists of a slender bar with a mass of M kg with a length of 2 m, spring stiffness coefficient, k and damping coefficient, c. To ensure the system oscillating, a vertical force of 50 N is applied at point P and then removed. The oscillation at point P is monitored, and its displacement data is recorded as displayed in Figure Q1(b). If the system lead to the equation of motion as follows: Ac i +7xZ Bk 7xz* x = 0 Here, the value of.4, B and Z depends on the 4, 5th and 6th digit of your matric number respectively as shown in Table Q1. For example, if your matrix number is DD 110345 gives the value of A = 3, value of B = 4 and value of Z = 5. Table Q1 5ª digit of matrix 4# digit of 6à digit of matrix A B matrix number number number 10 10 10 1 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 6. 6. 6. 6. 6 7 7 7 7 7 7 8 9 9 9 9 9 Based on the displacement data given in Figure Q1(b), analyze the spring stiffness coefficient, k and the damping coefficient, c of the mechanical system if the formula for damping ratio, 3 is given as: -= } V4n² + 82 Where in this case, ô is defined as logarithmic decrement. Calculate the initial displacement, x(t) of the mechanical system when the slender bar is in equilibrium position. 11.