L = 24.0 cm, m = 1.20 kg, radius of the ball r = 4.00 cm, M = 2.00 kg,
initial potential energy E = mg(L/2) + Mg(L + r)
After the combination rotates through 90 degrees,
its rotational kinetic energy = E = mg(L/2) + Mg(L + r) =6.899 J
the angular speed of the rod and ball is w
moment of inertia I = mL^2/3 + [2Mr^2/5 + M*(L + r)^2] (use parallel axis theorem)
I = 0.1926 kgm^2
E = Iw^2/2
so w = sqrt(2E/I) = 8.46 rad/s
linear speed of the v = (L+r)ω
=2.3688 m/s
d)The speed the ball would have if it had dropped a height L + r would be given by mg(L+r) = ( 1/2 mv^2
v = sqert 2g(L+r) = sqrt 2(9.8) ( 0.28 m/s) = 2.34 m/s
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Circle answers please
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I know this may be too much to ask for, but could you reply to
this question with a video response?
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