How Do You Solve the Block and Spring Dynamics Problem?

  • Thread starter Thread starter fireemblem13
  • Start date Start date
  • Tags Tags
    Block Spring
AI Thread Summary
To solve the block and spring dynamics problem, begin by drawing free body diagrams for each block to analyze the forces acting on them. Use Hooke's law to determine the deformation of the springs, considering the static equilibrium condition where the net force equals zero. Calculate the tension in the cord based on the forces exerted by the springs and the weight of the attached block. If the cord is cut, apply Newton's second law to find the acceleration of the blocks, taking into account the spring forces. This structured approach will lead to a comprehensive understanding of the system's dynamics.
fireemblem13
Messages
10
Reaction score
0
One of three blocks is attached to ceiling by a cord. Two others are connected by springs to the first block and to each other with coefficient k. What's the deformation of the springs? What's the tension in the cord? If the cord is cut, what's the acceleration of the blocks?

I'm somewhat clueless, so I'd appreciate a nudge in the right direction.
 
Physics news on Phys.org
Start with free body diagrams for each block, then use Hooke's law to find the deformation in the springs (and the fact that the blocks are in static equilibrium, so F_net=0)
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'
Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is(Figure 2): F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
Thread 'A cylinder connected to a hanging 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...
Back
Top