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Knowing that the coefficient of static friction b…

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Problem 51 Easy Difficulty

Denoting by $\mathrm{m}_{*}$ the coefficient of static friction between the block attached to rod $A C E$ and the horizontal surface, derive expressions in terms of $P, m_{s},$ and u for the largest and smallest magnitude of the force $Q$ for which equilibrium is maintained.

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Physics 101 Mechanics

Vector Mechanics for Engineers: Statics and Dynamics

Chapter 10

Method of Virtual Work

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Video Transcript

As you can see, I already have the answer here. Um, I did all the work and recorded the video and made ever so slight of a mistake in the end by not dividing by two right here. Um, so I made a slight mistake, and now I am recording the whole thing over again. But this is the answer. And as we scroll up, we can see the work. Ah, I drew the diagram. Um, notice that there is a normal force at both a and B, and that was my mistake before, um, those counter act the force at p um, such that and trying to write it down and is p over to, um nevertheless, I can begin the virtual mo mentum analysis by getting the Y value at point F, which is here. Take the derivative of that. Then I need the X value. Appoint a take the derivative of that. It's pretty straightforward now, um, changing potential energy is zero p is in the negative direction times delta y f. And then I have Q and friction opposing each other. Um, times. Ah, Delta X A. Now I put friction and red because depending on the values of Q and P. Um, the friction might actually be pointing the opposite direction. So, um, here's where I figured out P over to. So the friction force is just gonna be Musa sp over to. So I substituted that into this equation, simplified a little bit. Keep simplifying, and I simplified to get q equals three p over two tangent data plus or minus music. S pew over to the plus goes along with the force of friction in the direction shown minus would be a force of friction in the opposite direction. OK, but that is the answer.

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

Vector Mechanics for Engineers: Statics and Dynamics

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Problem

Knowing that the coefficient of static friction b…

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Related Courses

Vector Mechanics for Engineers: Statics and Dynamics

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Top Physics 101 Mechanics Educators

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Watch More Solved Questions in Chapter 10

Video Transcript

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

Vector Mechanics for Engineers: Statics and Dynamics

Christina Krawiec

Andy Chen

Liev Birman

Zachary Mitchell

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

Vector Mechanics for Engineers: Statics and Dynamics

Christina Krawiec

Andy Chen

Liev Birman

Zachary Mitchell

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

Christina Krawiec

Andy Chen

Liev Birman

Zachary Mitchell

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

Vector Mechanics for Engineers: Statics and Dynamics