The rotational of the pendulum was found to be 0.205kg⋅m2
define rotational ?
referring to or suggesting a system in which privilege or duty is given to each member of a group in a regularly repeating order: "the higher rotational speed of today's disc drives"
"rotately reward all selected pupils"
The rotational inertia of a uniform disc rotated at its centre is 21Mr2, where M is its mass and r is its radius. The disc in this problem spins at a point offset from its centre by r+L, where L is the length of the rod, hence its rotational inertia is 21Mr2+21M(L+r)2 according to the parallel-axis theorem. The rod has a rotational inertia of mL2/3, where m is its mass. The disc and rod's total rotational inertia equals
I=21Mr2+M(L+r)2+31mL2
=21(0.500kg)(0.100m)2+(0.500kg)(0.500m+0.100m)2+31(0.270kg)(0.500m)2
=0.205kg⋅m2
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