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...moment of inertia in kg•m²I = cMR²    M is mass (kg), R is radius (meters)    c = 1 for a ring or hollow cylinder    c = 2/5...

...(g-a) and T₂ = m₂(g+a), so T₁R = T₂( R /2) => m₂ = 2m₁(g-a))/(g+a) if the system is stationary a...

F = GMm/ r ^2 = mg/25  -- > r = sqrt(25*GM/g) Now note that g = GM/ R ^2   where R = radius of earth so r = 5*sqrt(GM/(GM/ R ^2)) = 5R = 5*6367 km = 31890 km

...kg–1⋅s–2 m₁= mass of object 1 (kg) m₂= mass of object 2 (kg) r = distance between centers of the masses (m)

R *n = 98 R /n = 2  R = 2n 2n*n = 98 n = √ 98/2 = 7  R = 14 ohm  check :  14*7 = 70+28 = 98 ohm 14/7 = 2 ohm 

mass M = 6.42*10^23 kg  radius r = 3.40*10^6 m  Vo^2*(3.40+0.12)*10^6 = 6.42*10^23*6.67*10^-11  Vo = √ 6.42*10^23*6.67*10^-11 / ((3.40+0.12)*10^6) = 3490 m/sec 

m = mass of bead, q = charge on bead, d = distance between plates, A = pi* r ^2 where r = radius of plate Since the bead is suspended the...

...'ll let you do the calculation... see below ]  θ = S / r     but  S is hard to calculate , I think  [ S =  arc length...