In a simple At wood 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 travelled byi the first block in the first two seconds. b. Find the tension in the string. c. Findthe force exerted by the clamp on teh 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.