“Heavy” is kind of an imprecise term. But if you mean “Is a spinning disk harder to move than a stationary one?” the answer is yes. The spinning adds angular momentum, which you can just think of as weird momentum; a spinning disk will continue to spin, but that spinning will try to push the axle around. So if you are holding the axle in a certain direction (such as angle grinding), the momentum will be pushing your hold in addition to the overall weight of the tool. As the disk is heavier and faster, the momentum is increased.
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