Velocities of blocks $A, B$ and pulley $p_{2}$ are show in figure. Find velocity of pulley $p_{1}$ and block $C$ .

V_{P_{1}} = 10 m / s ↓, V_{c} = 25 m / s ↑

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V_{P_{1}} = 5 m / s ↑, V_{c} = 25 m / s ↑

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V_{P_{1}} = 5 m / s ↓, V_{c} = 25 m / s ↓

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V_{P_{1}} = 5 m / s ↓, V_{c} = 25 m / s ↑

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Solution

The correct option is A $V_{P_{1}} = 10 m / s ↓, V_{c} = 25 m / s ↑$
$a_{r} - v_{1} ⟹ 5 m / s$
$a_{r} - 10 ⟹ 5 m / s$
$a_{r} ⟹ 5 m / s$
For $c v_{1} + a_{r} ⟹ V_{c}$
$V_{c} = 10 + 15$
$V_{c} = 25 m / s ↑$

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Velocities of blocks A,B and pulley p2 are show in figure. Find velocity of pulley p1 and block C.

The correct option is A VP1=10m/s↓,Vc=25m/s↑ar−v1⟹5m/sar−10⟹5m/sar⟹5m/sFor cv1+ar⟹Vc Vc=10+15Vc=25m/s↑

Velocities of blocks $A, B$ and pulley $p_{2}$ are show in figure. Find velocity of pulley $p_{1}$ and block $C$ .

The correct option is A $V_{P_{1}} = 10 m / s ↓, V_{c} = 25 m / s ↑$
$a_{r} - v_{1} ⟹ 5 m / s$
$a_{r} - 10 ⟹ 5 m / s$
$a_{r} ⟹ 5 m / s$
For $c v_{1} + a_{r} ⟹ V_{c}$
$V_{c} = 10 + 15$
$V_{c} = 25 m / s ↑$