what about the particle's tendency to move tangentially? The particle isn't going to fly off as an extension of the radius - Is the force friction not pointing tangentially to the particle's circle of rotation? Or would it be pointing in a combination of radially and tangentially?
nilesh, Correct! Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A
Professor, if centripetal acceleration is equal to a=v^2/r, V is same for both blocks, and we could write r2 as (r1+h), we get a1=V^2/r1 and a2=V^2/(r1+h). Isnt a2 smaller in this case? and how should we know when to use V or w? thank you
The difference is, the two v-values cannot be identical. Because the turntable rotates as a rigid body, the entire turntable and everything that rotates with it as a rigid body, will have the same angular velocity omega. The corresponding tangential velocity relates to omega, by v=omega*r, where v is the tangential velocity, and r is the radial position from the axis of rotation. Coin 1 has tangential velocity v1 = omega*r1 Coin 2 has tangential velocity v2 = omega*r2
Omega stands for angular velocity. Perhaps you meant, "Why do we call it omega, of all possible symbols we could use?". My guess is that the general strategy is to use Greek counterparts to Latin letters to stand for concepts in rotational motion. That way, Latin letters are linear motion, and Greek letters are rotational motion. Such as alpha (counterpart to A) standing for angular acceleration, and tau (counterpart to T) standing for torque. Theta (counterpart to the Old English thorn that got replaced with TH) doesn't stand for squat, but it has been a traditional symbol that has been used for angles, in the same way that x/y/z stand for position (despite not standing for any word in particular). Likely, the x/y/z trio was chosen so it would be least likely to stand for anything in particular. There is no counterpart to the letter V in the Greek alphabet, so V's alphabet neighbor of W was used instead. Omega is a counterpart to w because of appearance.
thank you I love how you visualise things and interpret all the physical values to get to the answer
Appreciate that. Thanks.
Cheers,
Dr. A
what about the particle's tendency to move tangentially? The particle isn't going to fly off as an extension of the radius - Is the force friction not pointing tangentially to the particle's circle of rotation? Or would it be pointing in a combination of radially and tangentially?
How do you record this?
lightboard is what it's called I think. Look at the"about" tab on this channel and you'll see a link. MIT use this same system. It's pretty cool, eh?
the video is flipped. you can tell because of the apple logo
If we rotate the disc at very high speed such that static friction is less than centripetal force, then masses fly off the table, right?
nilesh,
Correct!
Thanks for the comment, and keep up with the physics!
You might also like my new website: www.universityphysics.education
Cheers,
Dr. A
Professor, if centripetal acceleration is equal to a=v^2/r, V is same for both blocks, and we could write r2 as (r1+h), we get a1=V^2/r1 and a2=V^2/(r1+h). Isnt a2 smaller in this case? and how should we know when to use V or w? thank you
The difference is, the two v-values cannot be identical. Because the turntable rotates as a rigid body, the entire turntable and everything that rotates with it as a rigid body, will have the same angular velocity omega. The corresponding tangential velocity relates to omega, by v=omega*r, where v is the tangential velocity, and r is the radial position from the axis of rotation.
Coin 1 has tangential velocity v1 = omega*r1
Coin 2 has tangential velocity v2 = omega*r2
What does omega stand for
Omega stands for angular velocity.
Perhaps you meant, "Why do we call it omega, of all possible symbols we could use?". My guess is that the general strategy is to use Greek counterparts to Latin letters to stand for concepts in rotational motion. That way, Latin letters are linear motion, and Greek letters are rotational motion. Such as alpha (counterpart to A) standing for angular acceleration, and tau (counterpart to T) standing for torque. Theta (counterpart to the Old English thorn that got replaced with TH) doesn't stand for squat, but it has been a traditional symbol that has been used for angles, in the same way that x/y/z stand for position (despite not standing for any word in particular). Likely, the x/y/z trio was chosen so it would be least likely to stand for anything in particular.
There is no counterpart to the letter V in the Greek alphabet, so V's alphabet neighbor of W was used instead. Omega is a counterpart to w because of appearance.
What about mass?