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Standard VIII

Physics

Block and Tackle System

In the pulley...

Question

In the pulley system shown in the figure, at an instant if block $A$ is going down at $5$ m/s, find the speed of block $B$ : (In step pulley, the ratio of radii is $1 : 2$ )

5

m/s

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20

m/s

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40

m/s

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80

m/s

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Solution

The correct option is B $20$ m/s
$4 (d i s p l a c e m e n t o f A) + 1 (d i s p l a c e m e n t o f B) = 0$
$\Rightarrow 4 (V e l o c i t y o f A) + 1 (V e l o c i t y o f B) = 0$
$\Rightarrow$ Velocity of $B$ =20\ m/s$
Use of work energy theorem in solving constrain motion.

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In the pulley system shown in the figure, at an instant if block A is going down at 5 m/s, find the speed of block B: (In step pulley, the ratio of radii is 1:2)

The correct option is B 20 m/s4(displacement of A)+1(displacement of B)=0⇒ 4(Velocity of A)+1(Velocity of B)=0⇒ Velocity of B=20\ m/s$Use of work energy theorem in solving constrain motion.

In the pulley system shown in the figure, at an instant if block $A$ is going down at $5$ m/s, find the speed of block $B$ : (In step pulley, the ratio of radii is $1 : 2$ )

The correct option is B $20$ m/s
$4 (d i s p l a c e m e n t o f A) + 1 (d i s p l a c e m e n t o f B) = 0$
$\Rightarrow 4 (V e l o c i t y o f A) + 1 (V e l o c i t y o f B) = 0$
$\Rightarrow$ Velocity of $B$ =20\ m/s$
Use of work energy theorem in solving constrain motion.