A particle P of mass m kg is attached to two fixed points A and B by two identical model springs,...
Question 8 (Revision: Unit 9) - 5 marks A particle of mass 2 kg is attached to one end of a model spring that is hanging vertically from a fixed point 0. The spring has stiffness 4 Nm-1 and natural length 1 m. The system is oscillating in a vertical line with the particle below 0. In this question use the approximation that the magnitude of the acceleration due to gravity is 10 ms-2. Take the point O as the...
Conservation of energy: Using Hamiltonian or Lagrangian Mechanics 2) A particle P, of mass m, is attached by means of two light ideal springs (no damping) to fixed points A and B such that APB is a vertical straight line of length 5a. Spring AP is of stiffness k, spring PB is of stiffness 4k, and both springs are of natural length a. Point A is directly above B. i) Show that when the particle is in equilibrium AP =...
Question 2 A particle of mass m, is attached to a spring of natural length 2le and stiffness 2k, and a second spring of stiffness k and natural length lo. It lies on a smooth horizontal table. and the two spring ends are a fixed distance 4lo apart, as shown in Figure Q2. The particle is released from rest at a distance 2lo from each end. Let x be the distance of the particle from A wwwwwwwwww Figure 02 (a)...
III. Procedure: A charged body having charge Q = 0.002 C, mass M= 0.004 Kg, was initially held at rest at a voltage line located at height=H=D= 2m. Varying amounts of voltages were applied at the voltage line. The time the charged body took to fall to the zero-voltage level of the ground were measured using a digital smart timer. Attracted by the electrical force, the charge falls to the zero-voltage ground in the indicated times. Since the electrical forces...
Part B Consider a particle of mass m = 25.0 kg revolving around an axis with angular speed w. The perpendicular distance from the particle to the axis is r = 1.25 m. (Figure 1) Assume w = 39.0 rad/s. What is the magnitude v of the velocity of the particle in m/s? PO AQ * ? m/s Figure < 1 of 1 > Submit Request Answer Part C Now that you have found the velocity of the particle, find...
Hi, can you solve the question for me step by step, I will rate up if the working is correct. I will post the answer together with the question. Answer: Question 5 A particle of mass m rests on a smooth horizontal track. It is connected by two springs to fixed points at A and B, which are a distance 2lo apart as shown in Figure Q5. The left-hand spring has natural length 2lo and stiffness k, whilst the right-hand...
A block of mass m = 4.5 kg is attached to a spring with spring constant k = 710 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 25° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk=0.18. In the initial position, where the spring is compressed by a distance of d = 0.12 m, the mass is at its lowest...
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 780 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 28° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
#335. Rolling disk kinetics A uniform rigid disk of mass m = 6 kg and radius r = 4 m starts at rest on a flat ground as shown. Force Ď= 28î + 589 N acts at point P on the right edge, and gravity g = 9.8 m/s² acts vertically. The coefficient of friction between the disk and the ground is j = 0.75. D lo c. P What is the angular acceleration ā of the disk? Matlab/Mathematica input:...
8-13 points SerPOP4 6.P.021 soln. A 0.500 kg particle has a speed of 1.10 m/s at point A and kinetic energy of 8.00 J at point B (a) What is its kinetic energy at A? (b) What is its speed at B? (c) What is the total work done on the particle as it moves from A to B? m/s Submit Answer Save Progress Practice Another Version