In the Atwood machine shown below, the sphere has a mass of 2 kg; the block has
ID: 1285782 • Letter: I
Question
In the Atwood machine shown below, the sphere has a mass of 2 kg; the block has a mass of 8 kg; and the pulley and string have very little mass by comparison. The pulley is roughly frictionless, and the string is inelastic. If the sphere is given a sharp push downward that sets it into motion at 3 m/s, how far will it descend beneath its initial level?
Please expain in full detail to ger all points.
In the Atwood machine shown below, the sphere has a mass of 2 kg; the block has a mass of 8 kg; and the pulley and string have very little mass by comparison. The pulley is roughly frictionless, and the string is inelastic. If the sphere is given a sharp push downward that sets it into motion at 3 m/s, how far will it descend beneath its initial level? Please expain in full detail to ger all points.Explanation / Answer
as they are tied by string,,,acceleration will be same for both, which is lets say a,
let acceleration of sphere be in upward direction, the that of block will be in downward direction...
let tension in string be T
8*g - T = 8*a
T - 2*g = 2*a
solving , taking g = 10 m/s^2 , a = 6 m/s^2
by third law of motion, final velocity is 0, and initial velocity is 3 m/s
0 = 3^2 - 2*6*s
s = 0.75 m