Two pendulums, each with a mass of I kg and a length of 0.35 meters, are connected Via a spring o...
A2. Two identical simple pendulums are connected via a spring as it is shown in Figure A2. The length of the pendulum strut L-0.5m and the mass of attached bob m-2kg, the stiffness coefficient of the connecting spring is k-80Ns/m. 02 Figure A2. a) Using the free-body diagram method derive the following governing equations for the coupled pendulum system which are given below in matrix form b) Using the characteristic equation method or transformation to principal coordinates find out two...
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
A mass m = 1.1 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 75 N/m and negligible mass. At time t = 0 the mass is released from rest at a distance d = 0.35 m below its equilibrium height and undergoes simple harmonic motion with its position given as a function of time by y(t) = A cos(wt - φ). The positive y-axis...
All of t rod of mass B. 2a _x10 kg and length C. 5meters, with two identical uniform hollow spheres, each of mass D. 232x 10 kg a E_ meters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! he questions on this exam concern a space station, consisting of a long thin uniform nd radius axis axis (e) Now, another feature of this station is that the...
These questions concern a space station, consisting of a long thin uniform rod of mass 4.3 x 10^6 kg and length 769 meters, with two identical uniform hollow spheres, each of mass 1.7 x 10^6 kg and radius 218 meters, attached at the ends of the rod, as shown below. Please note that none of the diagrams shown is drawn to scale. A. Suppose that the station starts out at rest (not rotating). What we want is to get it...
An engineering company is designing and testing a car suspension system. The system has a conventional suspension design, consisting of a shock-absorber and spring at each wheel. The shock-absorber provides a damping effect that is proportional to the vertical speed (i.e. up and down motion) of the wheel, and the spring's resistance is proportional to the vertical displacement of the wheel.The design team analyses the suspension system in two separate parts: Part 1 - dynamics of the spring-damper system; Part 2...