Q2 (a) A hoisting drum mechanism which consists of flywheels 1 and 2, and two springs is used to bring down a fragile box of mass \( m_{l} \) safely to the ground. The mass of drum is given as \( m_{2} \), spring stiffness as \( k \), the radius of flywheel 1 and 2 as respective \( R_{1} \) and \( R_{2} \), as shown in Figure Q2.
Important: Please provide the final answer equation of motion in the matrix form of unknown \( m, k \) and \( R \)
(i) By using Lagrange equation, determine the equation of motion for the system
(15 marks)
2
CONFIDENTIAL
CONFIDENTIAL
BDA 31103
(ii) Prove the answer from Q2(a)(ii) by using Newton's second law. Use a body diagram to support the answer.
3/4
(10 marks)