Recent content by tonykoh1116

Στ = Iα (of course, tau and alpha are vector quantities) so I (moment of inertia of the block) would be 1/12*m*(a^2+b^2) and α would be double dot of θ. but I am slightly confused with how to deal with torque part. I know the force acting on the block is the pressure due to buoyant force and the...

Homework Statement I am currently taking mechanical vibration course and am given coursework. A wooden block (20X200mm) floats half submerged in water. Determine the frequency of small oscillations of the block rolling from side to side. In this motion, the centre of mass remains in the plane...

This is actually the problem in the textbook. I'm trying to derive the harmonic oscillator differential equation for this system, but It seems like it's very very challenging. could anyone help me out? Following is the question and figure from the textbook. Homework...

are you talking about \vartheta(t)=Acos(\omegat+\phi)?

I had a lecture regarding harmonic motion. he also derived equation related to pendulum motion with extended object and equation is following.(motion is a simple harmonic motion) d^2θ/dt^2+(RcmMg)θ/I=0 θ(t) = θcos(Ωt)+(ω/Ω)sin(Ωt) where Ω is defined angular frequency oscillation for all...