Lift can move in y-axis as well as along x-axis A ball of mass m is attached to ceiling of lift with inextensible light rope and box of mass m is placed against a wall as shown in figure. Neglect friction everywhere.

`{:(,"Column -I",,"Column -II"),("(a)",underset("x-axis then value of T may be")"In figure lift is moving along",,"(p) Zero"),("(b)",underset("x-axis with decreasing speed then value of N may be")"Lift is moving toward right along",,(q) gt mg),("(c)",underset("direction(y-axis)then value of T may be")"Lift is moving in upward",,(r) lt mg),("(d)",underset("direction with constant velocity then value of T may be")"Lift is moving in downward",,(s)=mg):}`

Options

A. In figure lift is moving along x-axis then value of T may be, zero
B. Lift moving toward right along x-axis with decreasing speed then value of N may be, `gt mg`
C. Lift is moving downward direction with constant velocity then value of T may be, `lt mg`
D. Lift is moving downward direction with constant velocity then value of T may be, = mg

Answer

A, B, C, D

Explanation

`T cos theta = mg implies T = m sqrt((g^(2) + a^(2)))`
`T sin theta = ma `
`implies T gt mg` if a is non-zero and
mg if a is zero
(B) `implies` N = ma can be greater less or equal to mg
(c ) `implies` T = mg + ma is greater, less or equal to mg according to as a is positive, negative of zero
(D) `implies ` T = mg