In a simple Atwood machine, two unequal masses `m_1 and m_2` are connected by string going over a clamped light smooth pulley . In a typical arrangement `m_1=300g` and `m_2=600g`. The system is released from rest. (a). Find the distance traveled by the first block in the first two seconds. (b). Find the tension in the string. (c). Find the force exerted by the clamp on the pulley.

Explanation

Given that, `vecF=vec(uz)xxvecA and vec(mg)` act on the particle.
For the paeticle to move undeflected with constant velocity net force should be zero.
` :. (vecuxxvecA)+vec(mg)=0`
` or (vecuxxvecA)=-vec(mg)
because ` (vecuxxvecA)` is to the place containing `vecu and vecA, vecu` should be in the xz plane.
Again ` uA sintheta = mg`
` :. u= (mg)/(A sintheta)`
u will be minimum, when `sin theta = 1`,
`rarr theta = 90^0`
`:. u_min = (mg)/A along Z- axis.