Could you please help me solve the question below. Thank you very much.    A hoop of radius 83mm and mass 93g is rotated via a capacitor driven power source with P(t)=2.23e-1.3tW. (since it is a hoop, it is a special case, and r=rG) 1. Determine the work done between t=0 and t=8.3s. [J] 2. Assuming the hoop is accelerated from rest, determine the rotational velocity after t=8.3s.  [rad.s-1] 3. Determine the rotational speed of the hoop after t=8.3s if the power source acts to roll the particle from rest on a horizontal surface. [rad.s-1]

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.