A rectangular block of mass 
and area of cross-section 
floats in a liquid of density 
. If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period 
. Then,
Text Solution
Verified by ExpertsB
1. Let block is displaced through x meter, then weight of the water displaced or upthrust (upwards) 
where, A is area of cross-section of the block and 
is its density. This must be equal to force applied, where m is mass of the block and 
is acceleration.
This is the equation of simple harmonic motion.
Time period of oscillation,
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems