Recent content by SciencyBoi

  1. SciencyBoi

    Three Pulley - two masses system.

    No problem. I honestly appreciate that people took interest in this problem that in no way would benefit them. And I would keep appreciating anyone for their participation in any of the posts here or any of the forums posted by anyone as they intend to help. Intentions is what always matters...
  2. SciencyBoi

    Three Pulley - two masses system.

    I think I got it... When we talk about pulley P2; Then assuming tension T in the longer string, we would have 2T tension in the string connecting m2 and P2. However, when we do force balancing of P1; We would have 2T - T = a0 x 0; Which would give us T = 0; hence the masses m1 and m2 both...
  3. SciencyBoi

    Three Pulley - two masses system.

    I've thought of this; The upward force is 2T. Let the downward tension be T'. Then T' - 2T = 0.a2 which gives us, 2T = T'
  4. SciencyBoi

    Three Pulley - two masses system.

    Homework Statement The given system is released from rest. Assuming no friction, mass-less pulleys and ideal strings; calculate the accelerations of the pulleys. Homework Equations Constraint equations. F=ma The Attempt at a Solution Taking the above assumptions; And applying constraints...
  5. SciencyBoi

    Tension problem with several ropes and a mass

    Your line of thinking is correct, however, there lies exactly a point between the increase of T1 vs T2 such that the balance the whole setup. (Also, when you increase T1, it's larger component is in the vertical direction, whereas the T2's larger component is in the horizontal direction, which...
  6. SciencyBoi

    A block placed in a horizontal hollow cylinder

    Thank you very much, I seem to have understood it now.
  7. SciencyBoi

    A block placed in a horizontal hollow cylinder

    I have now understood it. It was a language problem apparently. Thank you very much.
  8. SciencyBoi

    A block placed in a horizontal hollow cylinder

    Homework Statement A block is placed inside a horizontal hollow cylinder. The cylinder is rotating with constant angular speed one revolution per second about its axis. The angular position of the block at which it begins to slide is 30° below the horizontal level passing through the center...
  9. SciencyBoi

    How to differentiate b/w a conservative/non-conservative force?

    I think, there should be no resistive forces, like friction or elasticity in the rope. That should make it a conservative force by definition 1. But, then another confusion, these three definitions make nearly every force (in an ideal world/scenario) conservative. A world with rigid bodies and...
  10. SciencyBoi

    How to differentiate b/w a conservative/non-conservative force?

    Homework Statement How do we determine a specific force mentioned in a question to be conservative or non-conservative? 2. Relevant data Conservative force is a force whose work done does not depend on the path that is taken while doing it. Examples include electrostatic force, gravitational...
  11. SciencyBoi

    Trigonometric inequality problem.

    Actually, I think I was right the first time. Actually, for case 2, if 6sin(x)-1≤0, then sqrt(5-2sin(x)), if it exists, is definitely greater than or equal to 6sin(x)-1; that square root does always exist, because 5-2sin(x) ranges from 3 to 7. This means you actually take the union of the...
  12. SciencyBoi

    Trigonometric inequality problem.

    Okay, Case 2 is wrong, I oiginally meant to discard the interval that'll be obtained from case 2 from the final interval obtained. I somehow did the mistake while typing, and made some last changes. I have now edited the original post. Sorry. As far as I know (High school math), that is exactly...
  13. SciencyBoi

    Trigonometric inequality problem.

    Homework Statement Find the solution of the inequality ## \sqrt{5-2sin(x)}\geq6sin(x)-1 ## Answer: ## [\frac{\pi(12n-7)}{6} ,\frac{\pi(12n+1)}{6}]~~; n \in Z##Homework Equations None. The Attempt at a Solution There are two cases possible; Case-1: ##6sin(x)-1\geq0## or...
  14. SciencyBoi

    Internal Energy of an Ideal gas related to Molar specific heat

    Homework Statement Please look at the below images which is the derivation of the relation between the internal energy of an ideal gas and the molar specific heat at constant volume. (Snaps taken from Fundamentals of Physics Textbook by David Halliday, Jearl Walker, and Robert Resnick) As...