AP EAMCET · PHYSICS · Center of Mass Momentum and Collision
Three blocks A, B and C are arranged as shown in the figure such that the distance between two successive blocks is 10 m. Block \(A\) is displaced towards block \(B\) by 2 m and block C is displaced towards block B by 3 m. The distance through which the block B should be moved so that the centre of mass of the system does not change is
- A 1.4 m, towards block C
- B 1.5 m, towards block A
- C 2 m, towards block A
- D 1 m, towards block C
Answer & Solution
Correct Answer
(D) 1 m, towards block C
Step-by-step Solution
Detailed explanation
Let the masses of blocks A, B, and C be \(m\). For the center of mass to remain unchanged, the net displacement of the center of mass must be zero: \(\sum m_i \Delta \vec{r_i} = 0\) Assuming a coordinate system where positive direction is from A to C: Displacement of A:…
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