JEE Mains Model Paper 22

Let, mA = 2m mB = 3m density of liquid = ρ and density of block B = 2ρ
Then acceleration of system, when block B is inside the liquid, will be
a1 =

mAg−(m2g−upthrust‌on‌B)

mA+mB

=

2mg−(3mg− 3m 3ρ ρg)

5m

-

g

10

- constant
On the other hand, when the block is outside the liquid, the acceleration of system is (in opposite direction)
a2 =

mBg−mAg

mA+mB

=

3mg−2mg

5m

=

g

5

Since, a1 and a2 are constants, motion is periodic but not simple harmonic.