In the drawing shown, the large wheel has a radius of 7.1 m. Arope is wrapped ar
ID: 1679076 • Letter: I
Question
In the drawing shown, the large wheel has a radius of 7.1 m. Arope is wrapped around the edge of the wheel and a 7.6 kg-box hangsfrom the rope. A smaller disk of radius 1.38 m is attached to thewheel. A rope is wrapped around the edge of the disk as shown. Anaxis of rotation passes through the center of the wheel-disksystem. What is the value of the mass M that will prevent the wheelfrom rotating? A) 34 kg B) 12 kg C) 17 kg D) 39 kg E) 46 kg In the drawing shown, the large wheel has a radius of 7.1 m. Arope is wrapped around the edge of the wheel and a 7.6 kg-box hangsfrom the rope. A smaller disk of radius 1.38 m is attached to thewheel. A rope is wrapped around the edge of the disk as shown. Anaxis of rotation passes through the center of the wheel-disksystem. What is the value of the mass M that will prevent the wheelfrom rotating? A) 34 kg B) 12 kg C) 17 kg D) 39 kg E) 46 kgExplanation / Answer
Option : (D) is CORRECT.
EXPLANATION:
= 0
so, r1F1 - r2F2 = 0
r1* m *g - r2 *M*g = 0
M = [ r1*m ] / r2 = 7.1*7.6 /1.38
= 39.1 kg = 39 kg