SHMMedium
Question
A cylindrical block of density ρ is partially immersed in a liquid of density 3ρ .The plane surface of the block remains is 60cm. The block performs SHM when displaced from its mean position. [Use g = 9.8 m/s2]
Options
A.the maximum amplitude is 20 cm
B.the maximum amplitude is 40 cm
C.the time period will be 2π/7 seconds.
D.none
Solution
When cylindrical block partically immersed
FB = mg ⇒ 3ρAyg = ρA(60 × 10-2)g
y = 20 cm
⇒ Maximum amplitude = 20 cm

Restoring force when it is slightly decreased by an amount of x.
F = - (ᐃVσg) = - (Aσg)x
⇒T =
=
S
FB = mg ⇒ 3ρAyg = ρA(60 × 10-2)g
y = 20 cm
⇒ Maximum amplitude = 20 cm

Restoring force when it is slightly decreased by an amount of x.
F = - (ᐃVσg) = - (Aσg)x
⇒T =
=
Create a free account to view solution
View Solution FreeMore SHM Questions
In an artificial satellite, the use of a pendulum watch is discarded, because :...A cage of mass M hangs from a light spring of force constant of force constant k. A body of mass m falls height h inside...A point mass oscillates along the x-axis according to the law x = x0 cos (ωt - π/4). If the acceleration of th...For a particle executing simple harmonic motion, the acceleration is proportional to...For a body executing SHM with amplitude A, time period T, maximum velocity vmax and phase constant zero, which of the fo...