Consider a disk of radius R = 0.2 m, mass of mg = 20 kg, and moment of inertia of IG= 0.40 kg-m² mounted on a ball bearing joint at point G. The disk has a a cord wrapped around its perimeter. A cylinder of mass mg = 6 kg hangs from the other end of the cord and is moving at VB (t₁) 2 m/s downward at the instant shown (time t₁). Three seconds later, at time t2, what is the tension T and the velocity of the cylinder? (Hint: Use linear momentum-impulse applied to the cylinder and angular momentum-impulse applied to the disk. Evaluating with the data given T = 36.78 N and VB (t₂) = - 13.036 m/s.)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Consider a disk of radius R = 0.2 m, mass of mc = 20 kg, and moment of inertia of IG= 0.40
kg-m² mounted on a ball bearing joint at point G. The disk has a a cord wrapped around its
perimeter. A cylinder of mass mg = 6 kg hangs from the other end of the cord and is moving at
VB (t₁) = 2 m/s downward at the instant shown (time t₁). Three seconds later, at time t2, what is
the tension T and the velocity of the cylinder? (Hint: Use linear momentum-impulse applied to the
cylinder and angular momentum-impulse applied to the disk. Evaluating with the data given T = 36.78
N and vB (t2) = -13.036 m/s.)
DISK
motion
VB (t₁)
↓2
R
70
G
Jllllls
MG,
+
A
-
B
IG
cord
Cylinder
тв
Transcribed Image Text:Consider a disk of radius R = 0.2 m, mass of mc = 20 kg, and moment of inertia of IG= 0.40 kg-m² mounted on a ball bearing joint at point G. The disk has a a cord wrapped around its perimeter. A cylinder of mass mg = 6 kg hangs from the other end of the cord and is moving at VB (t₁) = 2 m/s downward at the instant shown (time t₁). Three seconds later, at time t2, what is the tension T and the velocity of the cylinder? (Hint: Use linear momentum-impulse applied to the cylinder and angular momentum-impulse applied to the disk. Evaluating with the data given T = 36.78 N and vB (t2) = -13.036 m/s.) DISK motion VB (t₁) ↓2 R 70 G Jllllls MG, + A - B IG cord Cylinder тв
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