Attach a rotation sensor to a ring stand and plug it into the LabPro DIG port 2.

Question

Attach a rotation sensor to a ring stand and plug it into the LabPro DIG port 2. Select a II-B moment wheel andmeasure its mass and diameter. Put a lock washer on the moment wheel and attach it to the rotation sensor by
turning the pulley while holding the moment wheel still.

Attach a small weight to a short length of string. The weight hung on the string should never be larger than 50 g. Wrap the string around the rotation sensor pulley

Derive an equation for the acceleration of the falling weight using newton’s laws.Your equation will include

m (mass of weight)

M (mass of moment wheel)

R (radius of moment wheel)

r   (radius of pulley)

g (acceleration of gravity)

Explanation / Answer

let T is Tension in the string'

I = M*R^2

let acceleration =a

I*a/r = T*r

T*r^2 = I*a

and m*(g-a) = T

m*(g-a) = I*a/r^2 = M*R^2*a/r^2

a = m*g/(m+ M*R^2/r^2)

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