# An object with a mass of #1 kg# is hanging from an axle with a radius of #16 m#. If the wheel attached to the axle has a radius of #64 m#, how much force must be applied to the wheel to keep the object from falling?

This is a moment arm question. It uses the principle that all moment must be equal for 'equilibrium' to exist. The values are determined by the magnitude of force time its moment arm about a point.

Example of 'equalization': Let clockwise be positive and anticlockwise be negative. Then:

The apposing moment to give equilibrium could be:

Then the system is:

However, the question askes for 'Force'. This is quite often presented in the units of 'Newtons'

There are 9.81 Newtons for each Kg

So in Newtons we have

The manipulation of units trick can be very useful if you know the units need in an answer but are not sure how to conduct a calculation.

What you do to the available units to obtain your objective you also do to their related numbers.

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To keep the object from falling, a force of approximately 9.8 Newtons must be applied to the wheel.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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