Question

In the given figure, the block is attached with a system of three ideal springs A,B,C. The block is displaced by a small distance x from its equilibrium position vertically downwards and released. T represents the time period of small vertical oscillations of the block. Then (Pulleys are ideal)

• A. $T = 2\pi\sqrt{\frac{11m}{2K}}$
• B. The deformation of the spring A due to displacement of block is (2/11) times the displacement of the Block
• C. The deformation of the spring C due to displacement of block is (1/11) times the displacement of the block
• D. The deformation of the spring B due to displacement of block is (4/11) times the displacement of the block

Answer 1

Answer: (A), (C), (D)

A, C, D

Answer 2

Given the high probability of error in the question, and assuming the provided solution A, C, D is correct, we cannot rigorously derive it from the diagram as interpreted. However, if we assume that the deformation ratios in C and D are correct, and the time period in A is correct, then the question might be designed with these values in mind, possibly with a different setup or spring constants.