Find the velocity of pulley V P as shown in the figure-A- 5 m - s- downwards-B- 4 m - s- upwards-C- 3 m - s- upwards-D- 3 m - s- downwards-

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Standard XII

Physics

Constrained Motion : General Approach

Find the velo...

Question

Find the velocity of pulley $(V_{P})$ as shown in the figure.

5 m/s

, downwards.

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3 m/s

, upwards.

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3 m/s

, downwards.

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4 m/s

, upwards.

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Solution

The correct option is C $3 m/s$ , downwards.
Let the pulley moves upwards, and taking upward as positive we have,
from the pulley formula
$V_{P} = \frac{V_{A} + V_{B}}{2} = \frac{- 10 + 4}{2} = - 3 m/s$
Hence, the velocity of pulley will be $3 m/s$ , downwards.

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Find the velocity of pulley (VP) as shown in the figure.

The correct option is C 3 m/s, downwards.Let the pulley moves upwards, and taking upward as positive we have, from the pulley formula VP=VA+VB2=−10+42=−3 m/s Hence, the velocity of pulley will be 3 m/s, downwards.

Find the velocity of pulley $(V_{P})$ as shown in the figure.

The correct option is C $3 m/s$ , downwards.
Let the pulley moves upwards, and taking upward as positive we have,
from the pulley formula
$V_{P} = \frac{V_{A} + V_{B}}{2} = \frac{- 10 + 4}{2} = - 3 m/s$
Hence, the velocity of pulley will be $3 m/s$ , downwards.