Recent content by lmao2plates

  1. L

    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    Okay so now I have T1 - Mg = M(a1) T2 - Mg = M(a2) a1/R = a2/r T1 = T2(r/R)
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    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    EDIT: so from there, assuming that the above equation is valid, α = T2(r/R-1)/M
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    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    net torque = radius * tension => 0 = T1R - T2r => T1R = T2r => T1 = T2(r/R) so T2(r/R) -T2 = M(αR-αr) T2(r/R-1) = M(αR-αr) It seems like I am going in circles haha.
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    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    Okay. Torque = Iα. However since we are neglecting the moment of inertia of the discs, torque would be 0?
  5. L

    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    Yea I understand what you mean now. Sorry about that. The problem I am really facing with this problem as evident by my attempt at the solution in post number 4. The question asks to find the angular acceleration, do I just give it as α? or do I derive that from other variables stated in the...
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    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    Bump, I uploaded the full problem in attachemtn
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    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    bump Here's my working so far: Angular acceleration is the same for both discs = α => acceleration of mass 1 = αR and mass 2 = αr I then drew free body diagrams of the 2 masses with mass 1 on the left and mass 2 on the right. Fnet=ma T1 - Mg = M(a1) - eq.1 T2 - Mg = M(a2) - eq.2 eq1-eq2...
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    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    So if I assume that the discs have no mass, we are also neglecting the gravity? I think I am missing something here. I just find it difficult when a question does not give me any quantitative value to work with. I appreciate your help.
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    How Do Two Connected Discs with Masses Affect Angular Acceleration?

    Homework Statement Two discs of radius R and r are fixed to each other, i.e., they rotate together. Strings are wound around both discs and two equal masses M are connected to the ends of the strings (see Figure 1). Find the angular accelerations of the discs, the accelerations of the masses...
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    Motion in 2D: Find Which Ball Hits Circle First?

    So using 2) for both balls it becomes: X = 0 + 0(t) + 1/2(a)(t^2) X = 1/2(a)(t^2) t^2 = X/(1/2a) Since XA < XB and aA < aB ... It seems like I have hit another sticking point.
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    Motion in 2D: Find Which Ball Hits Circle First?

    Relevant equations: 1) V=V0 + at 2) X=X0 + V0*t + 1/2a(t2) 3) X=X0 + 1/2(V + V0)t 4) V2=V02+2a(X - X0) How should I work with this?
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    Motion in 2D: Find Which Ball Hits Circle First?

    Ahhh. Thanks for correcting me, it is indeed a force. So the only constant acceleration equation that is independent from time is v2 = v20 + 2ax I will continue from here and update on my progress. Thank you.
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    Motion in 2D: Find Which Ball Hits Circle First?

    Homework Statement Two balls A and B simultaneously start to roll down without friction along two different chords of a circle as shown in the figure. Find which ball will hit the circle first? (image attached) 2. The attempt at a solution I have divided the velocity of the balls into vector...
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    Proving Convergence of an = [sin(n)]/n w/ Cauchy Theorem

    Homework Statement an = [sin(n)]/n Prove that this sequence converges using Cauchy theorem Homework Equations Cauchy theorem states that: A sequence is called a Cauchy theorem if for all ε > 0, there exists N , for all n > N s.t. |xn+1 - xn| < εI do not know how to approach this proof. I...
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