My solution to the above question involves equating the potential energy to the to the kinetic energy at the point at which the wire tightens as: $$ \frac{1}{2}mv^2 = mgh $$ However, I am having trouble finding the initial rotational velocity of the object, I initially thought that it was, if l is length: $$ \omega = \frac{2}{l} v $$ However, seeing a this is a full (past) exam question, I think the solution if not as straightforward. My second thought was that perhaps the radius of rotation is the distance from the connection point to the centroid of the shape and v the velocity component perpendicular to this.
But I am not sure that all of the velocity after falling is converted into rotational velocity at that instant, or if the point of connection accelerates to the right at the point as the string becomes taut.
Tuesday, 31 March 2020
homework and exercises - Rotational velocity of tethered shape after falling
Subscribe to:
Post Comments (Atom)
Understanding Stagnation point in pitot fluid
What is stagnation point in fluid mechanics. At the open end of the pitot tube the velocity of the fluid becomes zero.But that should result...
-
I have an hydrogenic atom, knowing that its ground-state wavefunction has the standard form $$ \psi = A e^{-\beta r} $$ with $A = \frac{\bet...
-
I stand up and I look at two parallel railroad tracks. I find that converge away from me. Why? Can someone explain me why parallel lines s...
-
At room temperature, play-dough is solid(ish). But if you make a thin strip it cannot just stand up on it's own, so is it still solid? O...
-
This image from NASA illustrates drag coefficients for several shapes: It is generally accepted that some variation of the teardrop/airfoil...
-
Sorry if this question is a bit broad but I can't find any info on this by just searching. The equation q = neAL where L is the length o...
-
Sometimes I am born in silence, Other times, no. I am unseen, But I make my presence known. In time, I fade without a trace. I harm no one, ...
-
I want to know what happens to the space a black hole crosses over as our galaxy travels through space.
No comments:
Post a Comment