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Standard XII

Physics

Constrained Motion : General Approach

Three blocks ...

Question

Three blocks 1, 2 and 3 are arranged as shown in the figure. The velocities of the blocks $v_{1}, v_{2}$ and $v_{3}$ are shown in the figure. What is the relationship between $v_{1}, v_{2}$ and $v_{3}$ ?

2 v_{1} + v_{2} = v_{3}

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v_{1} + v_{2} = v_{3}

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v_{1} + 2 v_{2} = v_{3}

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2 v_{1} + v_{2} = 2 v_{3}

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Solution

The correct option is D $2 v_{1} + v_{2} = 2 v_{3}$

From constrained motion
$\Rightarrow \frac{2 v_{1} + v_{2}}{2} = v_{3}$
$2 v_{1} + v_{2} = 2 v_{3}$

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Three blocks 1, 2 and 3 are arranged as shown in the figure. The velocities of the blocks v1, v2 and v3 are shown in the figure. What is the relationship between v1, v2 and v3?

The correct option is D 2v1+v2=2v3 From constrained motion ⇒2v1+v22=v3 2v1+v2=2v3

Three blocks 1, 2 and 3 are arranged as shown in the figure. The velocities of the blocks $v_{1}, v_{2}$ and $v_{3}$ are shown in the figure. What is the relationship between $v_{1}, v_{2}$ and $v_{3}$ ?

The correct option is D $2 v_{1} + v_{2} = 2 v_{3}$

From constrained motion
$\Rightarrow \frac{2 v_{1} + v_{2}}{2} = v_{3}$
$2 v_{1} + v_{2} = 2 v_{3}$