Final answer:
To determine the length of the uniform beam, we can use the concept of the center of mass. By calculating the position of the center of mass, we can find the length of the beam by using the equation for the center of mass of a system. The length of the beam is given by l = x2 * (m1 + m2) / m2.
Step-by-step explanation:
The length of the uniform beam is not provided in the question. However, we can determine the length of the beam by using the concept of the center of mass. The center of mass of the combined system of the person and the beam is given by:
xcm = (m1x1 + m2x2) / (m1 + m2)
where x1 is the position of the person and x2 is the position of the beam. Since the person is at the left end of the beam, the position of the person is 0 and the equation becomes:
xcm = x2 = (m1*0 + m2*l) / (m1 + m2)
Simplifying the equation, we find:
x2 = l*m2 / (m1 + m2)
Therefore, the length of the beam l is given by:
l = x2* (m1 + m2) / m2