Finding Restoring Force for Simple Harmonic Motion: 700g Cylinder in Water

AI Thread Summary
To find the restoring force for a floating 700 g cylinder in water after a 50 g mass is removed, the key is to calculate the change in buoyant force. The buoyant force is determined by the volume of water displaced by the submerged part of the cylinder. When the mass is removed, the cylinder will rise slightly, and the restoring force can be found using the difference in buoyant force before and after the mass removal. Participants are encouraged to share their attempts and specific areas of difficulty to receive targeted assistance. Understanding the principles of buoyancy and simple harmonic motion is essential for solving this problem.
kimi70
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Homework Statement



a 700 g cylinder of base area a=30 cm^2 and height 40 cm is floating upright in water. A 50 g mass, resting on top of the cylinder is suddenly removed. find the restoring force.

Homework Equations


The Attempt at a Solution

 
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hi kimi70! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .

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