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A drum of $80-\mathrm{mm}$ radius is attached to …

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Problem 97 Easy Difficulty

A 40 -kg flywheel of radius $R=0.5 \mathrm{m}$ is rigidly attached to a shaft of radius $r=0.05 \mathrm{m}$ that can roll along parallel rails. A cord is attached as shown and pulled with a force P. Knowing the centroidal radius of gyration is $\bar{k}=0.4 \mathrm{m}$ and the coefficient of static friction is $\mu_{s}=0.4,$ determine the largest magnitude of force $\mathbf{P}$ for which no slipping will occur.

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Video Transcript

we start by drawing the FBT in a day. I have shown the Canada data to find the angular excavation. We take the summer off moments around, find a so I can write Sigma m e. Is it Gwangju? I yell for less and uh, no, from the image again, right? G r saying 15 is a well into selling. Plus the second term will be blessed be I guess I Is it going to do and que square? Plus, I am expert No, I can relate this equation in the form of Alfa So that will be Alfa is a cordial minus m g r saying 15. Blessed be. I bless our A one I m he is great Bless our square Now, by putting the values will be able to get the Alfa. So there I'll Fogle being equivalent to minus 14.9 age one Indra 0.5 saying 15 plus be 0.5 plus 0 g zero by divided by by four b inju 0.4 square bless zero Bynes Ito by a square So that would be equivalent to did a fine Zito age for 61 B minus did open 7814 Now we have one in question that relates I'll five to the four speed. We need one more that relates the two so that we can find the force pain now for the taking Newton's second low in the vie direction so I can write Sigma Em by Is it going to do M E The days a by minus? G cause 15 is a culture zero because there's other forces like acting in divided addiction so I can rage. If I is a quote, you MGI call us 15 now moving forward. Um, we do the same for the X direction. So for the X direction, I can write it here as seeking my FX is a glow through and a X Let's write all the forces. Which other thing in the X direction so that R B minus X minus g sign 15 is a blood in June I m e therefore B minus mu you buy. Is it go to in odd? No. Let's write whole equation by ex finding each and every time so I can write B minus meu m G. Because 15 minus mg sang 15 Is it Gwangju and UH zero point Zito. Age 461 B minus, Little buying. Seven age 14 No, their export. The values here again So I can rage B minus mule and G cause 15 minus MGI saying 15 is a blood do zero point zero age for 61 b m r. Because I'm going to multiply emer to both the terms here in minus zero point Age 14 Emma and let's together all the Beecham's and all the m R or M genomes, so I can simply for this one is by taking be comin from the breaker. Right, answered and doctrines. Items So one minus 0.8461 m r is a quality you meu m g cause 15 minus little find seven age one for Emma plus MGI saying 15. Now let's write whole formula in terms off B and put other values so he will be equivalent to 0.4 in do or be into 9.81 cause you're gene minus 0.781 four into 40 into the open zero. Fine. Do I do by one Minus the open. Zito eight for 61 into 40 into 0 g zero by, so the final answer will be equivalent to 303 Newton. And that concludes our answer. Now use the some off moments to find the angular acceleration than use. That and the someone forces toe find two equations. The solution off, which used to be Ansel's.

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Vector Mechanics for Engineers: Statics and Dynamics

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Problem

A drum of $80-\mathrm{mm}$ radius is attached to …

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Related Courses

Vector Mechanics for Engineers: Statics and Dynamics

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Watch More Solved Questions in Chapter 16

Video Transcript

Ferdinand P. Beer, E. Russell Johnston, Jr., David F. Mazurek

Vector Mechanics for Engineers: Statics and Dynamics

Elyse Gonzalez

Liev Birman

Farnaz Mohseni

Meghan Miholics

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Vector Mechanics for Engineers: Statics and Dynamics

Elyse Gonzalez

Liev Birman

Farnaz Mohseni

Meghan Miholics

Ferdinand P. Beer, E. Russell Johnston, Jr., David F. Mazurek Vector Mechanics for Engineers: Statics and Dynamics

Elyse Gonzalez

Liev Birman

Farnaz Mohseni

Meghan Miholics

Ferdinand P. Beer, E. Russell Johnston, Jr., David F. Mazurek

Vector Mechanics for Engineers: Statics and Dynamics