Pleae help me to answer A large iron cylinder of mass 325 kg rests so that its c
ID: 2143605 • Letter: P
Question
Pleae help me to answer
A large iron cylinder of mass 325 kg rests so that its circular face rolls along the edge of a table as shown in the figure below. A smaller disk (radius 16 cm) is fastened to the circular face with its center axis aligned with the large cylinder such that the small disk extends beyond the edge of the table. A cable is wrapped around the smaller disk, which has half the radius and one-fourth the mass of the cylinder. With the entire assembly at rest, a mass of 4.6 kg is attached to the free end of the cable and allowed to descend through a distance ft = 25 cm. Calculate the moment of inertia and the total mass of the entire assembly. What is the total kinetic energy of the system after the attached mass descends through a height ft? If the entire assembly rolls without slipping, what is its velocity at this time? How far has the system moved along the horizontal?Explanation / Answer
1.the moment of inertia is
I = (1/2)mR1^2
the total mass is
M = m + m/4 = (5/4)m
2.the total kinetic energy is
K = (1/2)mv^2
3.the velocity is
v1 = (2gh)^1/2
where g = 9.8 m/s^2
4.the distance moved is
S = (v^2 - u^2/2g)
where u = 0