Manipal MET2014PhysicsLaws of Motion
The acceleration of block B in the figure will be
Options
- Am₂ g (4 m₁+m₂ )
- B2 m₂ g (4 m₁+m₂ )
- C2 m₁ g (m₁+4 m₂ )
- D2 m₁ g (m₁+m₂ )
Correct answer
A. m₂ g (4 m₁+m₂ )
Step-by-step solution
When the block m₂ moves downward with acceleration a , the acceleration of mass m₁ will be 2a, because it covers double distance in the same time in comparison to m₂ . Let T is the tension in the string. From the free body diagram of A and B we get aligned T & =m₁ 2 a ...(i) m₂ g-2 T & =m₂ a...(ii) aligned From Eqs. (i) and (ii), we get a= m₂ g (4 m₁+m₂ )