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URGENT!! PLEASE HELP! I need help with the second case, PLEASE answer all questions for the second case!! PLEASE!!

The system rotates freely in the vertical plane. Link OB is light and rigid. The disk, of mass m is uniform. The disk is fixed to link OB at B.

Derive the differential eom for small oscillations about static equilibrium.

a) by direct use of Newtons Laws

b) by use of an energy method

Find the natural period of vibration if initially displaced 2 degree (rad) from equilibrium and released from rest, Determine the MAX velocity of point B

s 7 lane isk, of mass i forme Cons ioler 2 ca4es beanins et B 250 For each caae rod initi aer displaced zfrom esu.(tbriun

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Answer #1

If the disk is not fixed to the rod, then it will not rotate about its center of mass as the
pendulum oscillates. Therefore the moment of inertia of the disk about its center of mass
does not contribute to the moment of inertia of the physical pendulum about the pivot
point. Notice that the pendulum is no longer a rigid body. The total moment of inertia is
only due to the rod and the disk treated as a point like object,12 ㄩˋ M7

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