Question

write a derivation on vertical motion of two bodies attached to the end of a string that passes over a frictionless pulley. Derevation?​

Answer 1

Answer:

Correct option is

D

m1−m2+m/2(m1−m2)g

Force balance equations for two weights can be written as:

T1=m1g−m1a---------(i)

and T2=m2a+m2g----------(ii)

(ii)-(i), we get:

T1−T2=(m1−m2)g−(m1+m2)a------------(iii)

As torque, τ=Iα, we have:

(T1−T2)R=(21MR2).Ra

or, T1−T2=2Ma

Substituting this in equation (iii), we get:

2Ma=(m1−m2