Rankers Physics

Constrained Motion: Practice Problem & Solution

What are the acceleration of the blocks  A and B, shown in figure (in m/sec²)   Constrained Motion diagram: What are the acceleration of the blocks  A
0,0
4 m/s², 4 m/s²
6 m/s², 3 m/s²
4 m/s², 2 m/s²

Solution Explained:

To solve this problem, we apply the core principles of Constrained Motion. Understanding the underlying formula is key to arriving at the correct answer below:

Writing equations of motion for the objects as,

40 - T = 4 × 2a     ---(i)

and 2T -40 = 4a    -----(ii)

Solving (i) and (ii)

a= 2 m/s²

So, acceleration of object A is 4 m/s² and for object B is 2 m/s²

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