Consider three masses `A,B` and `C` as shoon in the figure. Friction coefficient between all surfaces is `0.5`. Pulleys are smooth. (Given `m_(A)=1 kg, m_(B)=1 kg)` Mass of `C` may have any value

Options

A. It is possible that both `A` and `B` remain at rest
B. It is possible that both `A` and `B` accelerate.
C. It is possible that both `A` accelerates but `B` does not accelerate
D. If `B` accelearates, then `A` definitely accelarates

Answer

A, B, C, D

Explanation

`f_(l_1)=f_(l_2)=0.5xx10xg=5N, T` can have any value depending on mass of C

a. `If 2Tlt5N`, then none of them acclerates.
b. If `Tgt5N,` both accelerate.
c. If `2Tgt5N, but Tlt5N`, then A accelerates B does not accelerate.
d. If B accelerates then `Tgt5N`, so `2Tgt5N`, hence A also accelerates.