A) Find the rotational inertia of the combination about P. B) What is the kineti

Question

A) Find the rotational inertia of the combination about P.

B) What is the kinetic energy associated with the rotation about P?

I need the correct answers to both parts in order to give full rating.

Two particles, each with mass m = 4.4 g, are fastened to each other and to a rotation axis at P, by two thin rods, each with length L = 0.86 m and a mass of 7.7 g, as shown. The combination rotates around the rotation axis with an angular velocity of 14.4 rad/s. A) Find the rotational inertia of the combination about P. B) What is the kinetic energy associated with the rotation about P? I need the correct answers to both parts in order to give full rating.

Explanation / Answer

A ) MI of rod about P

MI rod = 2M (2L)2/3 = 15.9 *10^-3kg m2

MI of first mass = mL2 = 3.254*10^-3 kg m2

MI of second mass = m (2L)2 = 13.017*10^-3 kg m2

combined MI = 31.46 *10^-3 kg m2

B) kinetic energy = 0.5 I w^2 = 3.2617 J

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