Question

two masses are connected by a string which passes over a pulley accelerating upward at a rate A as shown in figure . If a1 and a2 be the acceleration of the bodies 1 and 2 respectively then .​

Answer 1

Answer:

A= (m1+m2)/(m2−m1)(a1+a2/2)−g

Explanation:

According to the problem two masses are connected by a string over a pulley which is accelerating upward at rate A

let the acceleration is p m/s^2

p−A=a1  and p+A=a2

Adding two equations,p=a1+a2/2

Now, equation of motion of mass 1,

m1p=T−m1g−m1A

Equation of motion of mass 2,

​m2p=m2g+m2A−T

Adding two equation of motion,

(m1+m2)p=m2g+m2A−m1g−m1A

⇒A=(m1+m2)p/(m2−m1) −g

⇒A=(m1+m2)/(m2−m1)(a1+a2/2)−g

Answer 2

Answer:

Explanation:

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