Question

Please answer the following questions In your solution, use the vector notation we discussed in class and include a diagram of all of the forces with labelled axes A) Design your own homework problem. Consider an every day situation that involves at least three forces that are not all along the same line. Using reasonable values, calculate something interesting. B) Instead of using stairs and elevators, it would be much more fun to leave the T-building via a slide from the roof. Choose reasonable values for the slide and show that your speed when you reach the ground is safe. Don't forget to include friction, but you can ignore air resistance C) Imagine that you took your spring and one of the weights from the Hooke's law lab and attached it to the bottom end of the inclined plane from the measuring g lab. If you were to extend the spring up the track, what would be it's initial acceleration once you let go of it? Don't forget to include friction, but you can ignore air resistance.

Answer 1

Skidding on Curved path. Friction force in negative y direction F_y^vector = -mu N J^^ Normal force F_Z = NK^^weight = -mg K^^{N = normal force mg = weight f body F_r = radial force f = frictional force Radial force F_x = -F_r i^^ F = -F_r i^^- mu N J^^+ N K^^ B) From f.b.d mg sin theta i^^- mu mg cos theta i^^= ma i^^ In order to calculate velocity 1/2 mv^2 = mgh - mu mg cos theta d v = squareroot 2gh - mu g cos theta d = squareroot 2 times 9.8 times 3 - .2 times 9.8 times cos 30 degree times 5 = 7 mfs d = length of ramp = 5 f = mu N = mu mg cos theta h = 3, mu = .2 theta = 30 degree \r\n c) from f.b.d F = F_3 - f F = Kx - mu mg hence a =