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tnat23

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Online 11a 45° A long wooden plank (mass M=20 kg, length L=8.0 meters) is hinged to the outside wall of a building by a pin joint. A rope attached to the plank at a distance s=5.0 meters from the wall holds the plank in a horizontal configuration, as drawn in the picture. The rope makes an angle of 45° with the wall. a. What is the tension in the rope? b. What is the magnitude and direction of the force exerted by the pin joint on the plank? c. The maximum tension that the rope can withstand without breaking is Tmax = 1000 N. How far out on the plank can a man of mass 50 kg safely walk? d. Suddenly the rope breaks. As a result, the rod swings down. Immediately after the rope breaks, what is the rod’s angular acceleration? S L Online Assignment Ida K Vollet 'bullet Icwt I disk 2 = 1 {MR² Ispinning disk I A 0.5kg bullet traveling at a velocity at a velocity of Youllet 200 ml hits the edge of disk as shown above. The disk has a radius R=2.0m, and a mass of 1000kg, and an angular velocity w = 48 rey on. When the bullet hits the clisk, they hit at a 900 angle and stick together. What is the final angular relocity of the disk and bullet, in units els af the after the disk and bullet collecte? Ignore gravity, fraichien, a spinning and drag.
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12) A)
Equating the energy of the system before hitting and after hitting
Kinetic energy of the bullet
1
= mv 2
2
Kinetic energy of the disk
1
= I1 ω2
2
Kinetic energy of the system after hitting
1
1
1
I1 ω2 + I2 ω2 = ω2 (I1 + I2 )
2
2
2
Therefore,
1
1
1
mv 2 + I1 ω1 2 = ω22 (I1 + I2 )
2
2
2
1
1
I1 = mR2 = × 10 × 22 = 20
2
2
...


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