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Question 4 □ This question is worth 15 marks. A load is mounted on a spring with a spring constant of 324 N m-¹ and confined to move only vertically, as shown in Figure 3. The wheels which guide the mass can be considered to be frictionless. The load has a mass, m = 4 kg, which includes a motor causing the mass to be driven by a force, F = 8 sin wt given in newtons. Figure 3 Schematic of a driven harmonic oscillator. The motion of the motor produces a forcing vibration constrained to act vertically. wwwwwww Write the inhomogeneous differential equation that describes the system above. Solve the equation to find an expression for a in terms of t and w. < Previous Question 3 Next > Question 5