Two discs `A` and `B` each of mass `2kg` and radius `0.5m` are rigidly fixed to the end of a thin shaft `S`, which is supported in horizontal position with the help of two smooth bearings at points `P_(1)` and `P_(2)`. Two blocks of masses `2 kg` and `1 kg` are connected to the light cords wrapped around the discs as shown in the figure. There is no slipping between the cord and the discs. If the system is released from rest from the position shown, the mark released from rest from the position shown,

Options

A. Power developed by tension in cord connected to 2 kg block is negative
B. Acceleration of each block is `2m//s^(2)`.
C. Total work done by tension on discs is zero during the motion.
D. Acceleration of each block is `1m//s`

Answer

A, B

Explanation

`20-T_(1)=2a` (for `2kg` block) ………(i)
`T_(2)-10=1a` (for 1kg block) ……….(ii)
`T_(1)1/2- T_(2) 1/2 =(2) (1/2)^(2) 1/2 (2) a/(1//2)` (for the shat `+` disc system)
So, `T_(1)-T_(2)=2a`………(iii)
After solving these three equation
`a=2m//s^(2)`