The door of a house has a height of 2m, width of 1m, thickness of 50mm, and mass of 50 kg. the door opens against a torsion spring and viscous damper, as shown in Figure. If the spring constant of the torsional spring is 15 N. m/rad, find the damping constant necessary to provide critical damping in the return swing of the door. If the door is initially opened 75 and released, how long will it take for the door to come to within 5 of losing

The door of a house has a height of 2m, width of 1m, thickness of 50mm, and mass of 50 kg. the door opens against a torsion spring and viscous damper, as shown in Figure. If the spring constant of the torsional spring is 15 N. m/rad, find the damping constant necessary to provide critical damping in the return swing of the door. If the door is initially opened 75 and released, how long will it take for the door to come to within 5 of losing

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.10P: The tensional pendulum shown in the figure consists of a horizontal circular disk of a mass M = 60...

See similar textbooks

Similar questions

The door of a house has a height of 2 m, the width of 1 m, the thickness of 50 mm and mass of 50 kg. The door opens against a torsion spring and a viscous damper as shown in the figure. If the spring constant of the torsion spring is kq = 15 N-m/rad, find the damping constant necessary to provide critical damping in the return swing of the door.?
A four-cylinder automobile engine must be supported on three shock mounts,as shown in the picture. The engine block assembly weighs500 lbs. If the unbalanced force produced by the engine is given by200 sin 100 t lb, design three shock mounts (each stiffness k andviscous damping constant c) such that the vibration amplitudemaximum 0.1 in
Under some circumstances, when two parallel springswith constants k1 and k2 support a single mass, theeffective spring constant of the system is given byk 4k1k2/(k1 + k2). A mass weighing 20 pounds stretchesone spring 6 inches and another spring 2 inches. Thesprings are first attached to a common rigid supportand then to a metal plate. As the figure illustrates(see image), the mass is attached to the center of the plate in the distributiondouble spring. Determine the constant of theeffective spring for this system. find the equationof motion if the mass is initially released fromequilibrium position with downward speed of2 ft/sec.
1: the mass damper spring given in the figure on the side is a harmonicit's under the influence of force. a-) obtain the equation of motion by making the necessary admissions for this system. B - ) natural frequency of the system using the values given in the table, damping State (critical, etc. ), find and interpret the damping constant and degrees of damping. c-) t = 5s with t = 20s compare the situation in their time. What changes have occurred?
The 3.90 kg cube in the figure has edge lengths d = 5.50 cm and is mounted on an axle through its center. A spring (k = 1150 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 4.00° and released, what is the period of the resulting SHM?
A steel bar 25 mm wide and 50 mm deep is simply supported at two points 3 m apart andcarries three loads of 1000 N, 1500 N and 750 N at 1 m, 2 m and 2.5 m from the leftsupport. The Young's modulus for steel is 200 GPa. If the mass of the bar is 262 kg/m,find the frequency of transverse vibration.
A close-coiled helical compression spring with ‘plain ground’ ends has a meancoil diameter of 90 mm, a spring index of 11.25 and a spring rate of 10 N/mm.The spring is used in a machine to help to control the effects of vibratory forceswhere the spring carries a maximum static load of 750 N due to the vibration.For the spring material, the maximum allowable shear stress is 160 MN/m2andthe modulus of rigidity is 83 GN/m2.i) Determine the wire diameter of the spring.ii) Calculate the number of coils in the spring.iii) Calculate the torsional shear stress acting in the spring material, andhence evaluate the factor of safety for the spring.iv) Calculate the solid length of the spring.
1-) length L with mass m given in the figure on the sidemass M is connected to the end of the rod and has a coefficient of kit is connected with the spring on a fixed bearing. a-) giving the natural frequency of the system for the state in the figureget the statement. B-increase of spring coefficient like 0.5 k, 2k, 5k and / orhow does the natural frequency of the system decreasereferencesexternal links
The door shown in the figure is equipped with a torsional spring of stiffness 25 Nm/rad and a torsional viscous damper c so that it automatically returns to its closed position after being opened. The door has a mass of 60 kg and a centroid moment of inertia about axis AB parallel to the door's axis (Oz) of 7.2 kgm^2. a. What is the damping coefficient such that the system is critically damped? b. What is the initial angular velocity of the door so that the door is opened 70 degrees? How long will the door return to 5 degrees of completely closing? c. Repeat a and b if the door is designed with a damping ratio of 1.3.
A proposal is made to use a giant spring in the bottom of an elevator shaft as a means of safely "catching" a falling elevator car. The car freefalls until it hits a spring, which is then compressed until the car stops. The car's loaded weight is 20.0 kN. The elevator will service 20 floors. Distance between floors is 4 m. The deceleration rate of the car should not exceed 10 g's as it is being stopped. (a) determine the requirements for the spring constant and the amount the spring will compress in order to catch the falling car in the worst-case scenario. (b) what do you think about this proposal? Is it practical?
The maximum permissible recoil distance of a gun is specified as 0.5 m. If the initial recoil velocity is to be between 8 m/s and 10 m/s, find the mass of the gun and the spring stiffness of the recoil mechanism. Assume that a critically damped dashpot is used in the recoil mechanism and the mass of the gun has to be at least 500 kg.
In the given fig shows the suspension system of a freight truck with a parallel-spring arrangement. Find the equivalent spring constant of the suspension if each of the three helical springs is made of steel with a shear modulus G = 120GPaand has five effective turns, mean coil diameter D = 50 cm, and wire diameter d = 5 cm