Newton's Second Law - Machine Problem

AI Thread Summary
To find the initial acceleration of a 760g steel shuttle pulled by an elastic cord with a tension of 16.0N at a 45º angle, the relevant equations of motion are ΣF_x = n_x + T_x + F_Gx + f_kx = ma_x and ΣF_y = n_y + T_y + F_Gy + f_ky = ma_y. The tension must be resolved into its x and y components to analyze the forces acting on the shuttle. The acceleration can be calculated by determining the net force along the direction of the rail after the cord is released. Using the components of the tension will yield the necessary values to solve for the initial acceleration. Properly applying these principles will lead to the correct answer for the problem.
JeYo
Messages
34
Reaction score
0
A machine has an 760g steel shuttle that is pulled along a square steel rail by an elastic cord . The shuttle is released when the elastic cord has 16.0N tension at a 45º angle. What is the initial acceleration of the shuttle?

Here is the only photo associated with this problem:knight_Figure_05_59.jpg


Now I think the only equations necessary are \SigmaF_x = n_x + T_x + F_Gx + f_kx = ma_x and \SigmaF_y = n_y + T_y +F_Gy + f_ky = ma_y.



I thought that I could use those two equations in tandem and use the values for a_x and a_y as the a and b sides of a the right triangle whose hypotanuse of which is the answer to the problem and lies along the cord that pulls the shuttle.
 
Last edited by a moderator:
Physics news on Phys.org
I think all you'll need to do for this problem is resolve the force and use the component acting along the steel rail to find the acceleration after the cord is released.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...

Similar threads

Replies
5
Views
4K
Back
Top