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D www.webassign Assignment Responses/submit?dep 15940217 Annie inspired by Na H

ID: 2075184 • Letter: D

Question

D www.webassign Assignment Responses/submit?dep 15940217 Annie inspired by Na H v1 to super Meat Boy Fre An object with a mass of m 4.65 kg is attached to the free end of a light string wrapped around a reel of radius R- 0.260 m and mass of M-3.00 kg, The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center as shown in the figure below. The suspended object is released from rest 5.00 m above the floor (a) Determine the tension in the string. (b) Determine the magnitude of the acceleration of the object. O

Explanation / Answer

a) acceleration a = 2 m g / 2m + M

= (2 * 4.65 * 9.8) / ((2 * 4.65) + 3.00) = 7.41 m/s2

T = m (g - a) = 4.65 (9.8 - 7.41) = 11.11 N

b) acceleration a = 2 m g / (2m + M)

= (2 * 4.65 * 9.8) / ((2 * 4.65) + 3)

= 7.41 m/s2

c) velocity v = sqrt [4 m g h / 2m + M]

= sqrt [(4 * 4.65 * 9.8 * 5.00) / ((2 * 4.65) + 3)]

speed v = 8.61 m/s