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Part E Now what is the rotational inertia of the system where the disk is 1.17 m

ID: 2143521 • Letter: P

Question

Part E Now what is the rotational inertia of the system where the disk is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. Part F Now what is the rotational inertia of the system where the sphere is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. I_{disk & rod} = kgm 2 Part G Now assume the axis of rotation is along the rod, the sphere is at one end and the disk is 1.17m   from that end.  The axis of rotation goes through center of mass of the disk and sphere.  What is the rotational inertia? Part E Now what is the rotational inertia of the system where the disk is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. Part F Now what is the rotational inertia of the system where the sphere is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. I_{disk & rod} = kgm 2 Part G Now assume the axis of rotation is along the rod, the sphere is at one end and the disk is 1.17m   from that end.  The axis of rotation goes through center of mass of the disk and sphere.  What is the rotational inertia? Part E Now what is the rotational inertia of the system where the disk is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. Part F Now what is the rotational inertia of the system where the sphere is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. I_{disk & rod} = kgm 2 Part G Now assume the axis of rotation is along the rod, the sphere is at one end and the disk is 1.17m   from that end.  The axis of rotation goes through center of mass of the disk and sphere.  What is the rotational inertia? Part F Now what is the rotational inertia of the system where the sphere is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. I_{disk & rod} = kgm 2 Part G Now assume the axis of rotation is along the rod, the sphere is at one end and the disk is 1.17m   from that end.  The axis of rotation goes through center of mass of the disk and sphere.  What is the rotational inertia? Part F Now what is the rotational inertia of the system where the sphere is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. I_{disk & rod} = kgm 2 Part G Now assume the axis of rotation is along the rod, the sphere is at one end and the disk is 1.17m   from that end.  The axis of rotation goes through center of mass of the disk and sphere.  What is the rotational inertia? Part F Now what is the rotational inertia of the system where the sphere is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. Part F Now what is the rotational inertia of the system where the sphere is 1.17m   from the end  of  the rod and the axis of rotation is at the center of mass of the rod and perpendicular to the rod. Part G Now assume the axis of rotation is along the rod, the sphere is at one end and the disk is 1.17m   from that end.  The axis of rotation goes through center of mass of the disk and sphere.  What is the rotational inertia? Part G Now assume the axis of rotation is along the rod, the sphere is at one end and the disk is 1.17m   from that end.  The axis of rotation goes through center of mass of the disk and sphere.  What is the rotational inertia? I_{disk & rod} = kgm 2

Explanation / Answer

Let the length of the rod be l


l/2 - R = 1.17 m



Part E

Rotational inertia = ml^2 / 12 + mr ^2 / 4


Part F


I _(disk and rod ) = ml^2 /12 +( 2/5 mr^2)



part G


I = 2/5 mR ^2 + ml^2 / 3 + m (l/4 - R) ^2


by parallel axis theorem

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