A uniform beam of mass 2kg and length 4cm is rotated about an axis 8cm from one end.Determine it's moment of inertia
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To determine the moment of inertia of a uniform beam about an axis, we can use the formula:
I = (1/3) * m * L^2
Where:
I = moment of inertia
m = mass of the beam
L = length of the beam
In this case, the mass of the beam is given as 2 kg and the length is given as 4 cm. However, we need to convert the length to meters before applying the formula.
Length in meters = 4 cm / 100 (since there are 100 cm in 1 meter)
Length in meters = 0.04 m
Now, we can substitute the values into the formula to calculate the moment of inertia:
I = (1/3) * 2 kg * (0.04 m)^2
I = (1/3) * 2 kg * 0.0016 m^2
I = (1/3) * 0.0032 kg m^2
I ≈ 0.0011 kg m^2
Therefore, the moment of inertia of the uniform beam about an axis 8 cm from one end is approximately 0.0011 kg m^2.