A plot of DMTA damping term against temperature can be used to determine a temperature at which a) tensile strength becomes maximum b) the specific heat shows a minimum c) Young's modulus undergoes a significant drop d) the crystalline phase melts.
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- Describe a system in which elastic potential energy is stored.In the short story The Pit and the Pendulum by 19th-century American horror writer Edgar Allen Poe, a man is tied to a table directly below a swinging pendulum that is slowly lowered toward him. The bob of the pendulum is a 1-ft steel scythe connected to a 30-ft brass rod. When the man first sees the pendulum, the pivot is roughly 1 ft above the scythe so that a 29-ft length of the brass rod oscillates above the pivot (Fig. P16.39A). The man escapes when the pivot is near the end of the brass rod (Fig. P16.39B). a. Model the pendulum as a particle of mass ms 5 2 kg attached to a rod of mass mr 5 160 kg. Find the pendulums center of mass and rotational inertia around an axis through its center of mass. (Check your answers by finding the center of mass and rotational inertia of just the brass rod.) b. What is the initial period of the pendulum? c. The man saves himself by smearing food on his ropes so that rats chew through them. He does so when he has no more than 12 cycles before the pendulum will make contact with him. How much time does it take the rats to chew through the ropes? FIGURE P16.395. A mechanical oscillator with a quality factor of 2 comprises a mass of 50 g attached to a spring of stiffness 3250 N/m. When the mass is subject to an oscillating driving force of magnitude 20 N, the resultant frequency of oscillation of the system is 50 Hz. a). Calculate the value of the mechanical resistance, Rm, for the system. b). What percentage of the maximum power is dissipated in the system when is it driven to oscillate at 50 Hz? c). State whether the system is underdamped, critically damped or overdamped when the driving force is turned off and justify your answer.
- energy and amplitude of vibration. position, and 420 ergs when it is at a distance of K.E. of 480 erg when it is at 2 cm from mean 72 : A particular performing S.H.M. has a position, and 420 ergs when it is at a distance of cm from mean position. Determine total and amplitude of vibration. energy www3- Write the energy expression of the diatomic vibratory-rotator. Then, ignoring D, write the expression for the transition v=0→v=1 and draw the graph of the transitions according to the selection rules.5. A 68 kg heavy dishwasher runs at 245 rpm. Determine the minimum static deflection of a 43% isolation insulator. Consider that damping is negligible and presents the result of deflection in millimeters.
- Q1/ If you knew that Ne^-2x² = 1- Find the value of N, which makes the function (4) a standard function. 2- Find the expected value of x for the period from 0 to co1. Tracing the outline of the heart shape shown below results in a periodic signal which can roughly be expressed as f(1) = -² + t, 0k 7 What is the equation of harmonic oscillation, if amplitude of acceleration is amaz = 50 cm/sec2, frequency of oscillation is f = 0.5 Hz, initial displacement of pendulum from the equilibrium position is ro 0 mm. Calculate amplitude of speed (maximal speed). %3DQ1) Consider a second order all-pole transfer function model, if the desired settling time (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles be located in s-plane? and what there are. Q2) The forward path transfer function is given by G(s) = 9/s(s+6). Obtain an expression for unit step response of the system. Q3) A system with transfer function 1/Ts+1, subjected to a unit step input to reach 95.03% of final value, what is the value of t.A 4 kg mass is statically suspended from a load (force) cell and the load cell deflection caused by the mass is 0.04 mm. Estimate the following: 1. The natural frequency of the load cell is equal to rad/s. 2. The practical frequency range over which it can measure dynamic loads with an inherent error of less than 5% knowing that it has damping ratio of 0.43 can be given as: rad/sA first order instrument with a time constant of 1.5 seconds is to be used to measure a periodic input. A dynamic error of 2% can be tolerated. The maximum frequency of periodic input that can be measured (rad) Select one: a. 0.1353 b. 1.529 c. 0.1035 d. 1.659SEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
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