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End $A$ of the 6 -kg uniform rod $A B$ rests on t…

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Problem 121 Easy Difficulty

End $A$ of the 6 -kg uniform rod $A B$ rests on the inclined surface, while end $B$ is attached to a collar of negligible mass that can slide along the vertical rod shown. Knowing that the rod is released from rest when $\theta=35^{\circ}$ and neglecting the effect of friction, determine immediately after release ( $a$ ) the angular acceleration of the rod, ( $b$ ) the reaction at $B$

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Video Transcript

Hello, everyone s Or in the figure there is Gerard Evie off months xkp and opulent. 1.5 m rest on the clientele fee on board. And we is attached to the color off negligible box which can slight along the vertical roll. If the road is released from rest at on, get 35 billion can click Angular acceleration and reaction at B calculate angular acceleration on a reaction at the just after religion. First we would we will analyze the kind heretics off the road. E c it telematics off the road if he Yep, I am growing up. Geometrical view off There are 80. This is the direction off acceleration off the end of the rot on this angle is give it 35 billion. De is the medical center. Our center off months does. This length is 0.75 m and this would be also 27 5 m. The acceleration off between this direction just until it's given 25 degrees rod will rotate with angular acceleration Helper about the center off Mama given omega zero initiative acceleration off. Eight can be regulates acceleration off the that's acceleration off. A. With respect to the it can be recognized in vector expression. This is 25 degree. That's the moment Off the direction. 1.5 into Alfa, 35 billion. Driving the tractor diagram Triangle law. Mhm. Yeah. Yeah. And it is, you know, acceleration off every respect. Helper, that is 1.5 in to help for this angle is Excuse me. This is 60 fight. This will be 55. Have like the sign in log. You can write maybe upon sign off 60 1.5 l far born. Signed off 65 value off. Maybe we will get one point. Quote the three help. So acceleration off center off months off the road. You make calculate a bar. It's a battle will be 80. It's total a B plus acceleration off G. This respect, Toby 80 is 1.433 l four and downward direction. The last 175 and four In this direction. If we find its X component 27 5 Alpha course off. 35 direction. Believe towards Left the human right. 561 436 Alfa to watch that on a pipe, there'll be minus 1.433 Alfa. And that's why 75 l Fox, sign off 30 Fight. You even get one. Find 00 Stephen l for and downward direction. Now we will draw the free body diagram off the road 80. This is there are 80. This will be extraordinary. 60 Fight 55 domestically. You can see the figure did. This is quite this is the at which it's a great will act vertically downward and say this is being quite on Dhere Reaction Evil act along this life you like I am to help us and X Okay. And a wife DJ from the figure you can measure 175 Sign off 55 Meet it and you can measure by the sign Dog Easy divided by kind off 16 A. Be divided by signed off 60 Fight ese into signed 60 upon. Sign off 65 Easy is given 1.5 signed off Sick Speak upon time off 65 lent off TV You will get 1.4 33 m. Uh huh No on a d will be lent off. The will be easy Minus TV TV is 1.4 333 while 75 and two course off 55. So this value is 1.31 m and lent off disease 17 fights signed off 55 that is 5 to 6 but 436 m taking moment off fourth evolved e points. You will get they off the road into ET It's cultural I into Alfa and a X into TV. Yeah, but that's I am a body et. Subjecting the value we can find the value of Alfa baked off. There are masses given six g 9.81 e d. Already we have calculated 1.3 were moment off. Energy of the Lord about it center off months one by 12 um, any square was six into 1.5 square. And what? And Mark is six into busy help that is quite 61436 Alfa and tow 561 43 six. The last six. Easy into Alfa 110031 and far into 1.3 But so from here Alfa, you will get 6.26 radiant for taking his square and clock by direction. Acceleration off center off must in her gentle direction. Alpine Too busy Alfa 6.26 on D G. B F 561 436 It would be 3.848 Meet up our second script on acceleration along my direction Off center off Mark of the Rod Mhm ET in tow l for mhm is 1.31 l 1st 6.26 You will get 6.28 toe. Yeah, need help or second step now be back. Taking a moment off, couples about eight point, it would be wait in tow. 575 You should follow the figure. Cost. 55 minus the Action Act Be one point Fight into Science 55. It's called Two I Into Alfa and a Fight 0.75 force of 55 minus six and two. But M. E x 575 and two signed off 55 Subsidiary All the parameters given ever on calculating for B reaction at B, they ate six and 29.8 works 575 cause off 55 minus B 1.5 and to sign 55. It's called Toe Moment off inertia, but by 12 moment off Missile wrote about its center off months. So one way. 12 any squared Mars of that artist? Six A while already know. 6.282 in tow. 0.75 cause off. 55 minus six and two acceleration off center off musk along. Excesses. Three points it for it. 575 Sign off 55 on solving reaction at B, you will get 13 points total. So what's left? That's all for it. Thanks for watching it.

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