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A slender 10-kg bar AB with a length of
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- A 2.3-kg object is suspended using two linear springs (k1 = 45 N/m and k2 = 21 N/m), as shown below. Due to aerodynamic effects and other losses, you observe that the amplitude of the vibration is halved after 5 complete cycles. If the initial mass was displaced 270 millimetres below the equilibrium position (i.e. negative initial displacement) and then released from rest, determine the position of the mass after 11 seconds. Give your answer in millimetres rounded to one decimal place. Enter positive values if the mass is above the equilibrium position and negative values if it is below the equilibrium position. k karrow_forwardQ4. An air-conditioning chiller unit weighing 5.0kg is to be supported by four air springs. Design the air springs such that the natural frequency of vibration of the unit liesbetween 5 rad/s and 10 rad/s. Q5. A heavy machine weighing 9.81kN is being lowered vertically down by a winch at a uniform velocity of 2 m/s. The steel cable supporting the machine has a diameter of 0.01 m. The winch is suddenly stopped when the steel cable's length is 20 m. Find the period and amplitude of the ensuing vibration of the machine when Young's Modulus of steel cable is 2.07*10¹1 N/m².arrow_forwardA 64-lb block is attached to a spring with a constant of k = 1 kip/ft and can move without friction in a vertical slot as shown. It is acted upon by a periodic force with a magnitude of P=Pm sin wf t = 10 rad/s. Knowing that the amplitude of the motion is 0.75 in., determine Pm.arrow_forward
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- Determine the velocity and frequency of vibration of a rope 6 m long with a mass of 2 kg and stretched with tension of 192 N.arrow_forwardA motor weighing 400 lb is supported by springs having a total constant of 1200 lb/in. The unbalance of the rotor is equivalent to a 1-oz weight located 8 in. from the axis of rotation. Determine the range of allowable values of the motor speed if the amplitude of the vibration is not to exceed 0.06 in.arrow_forwardAn 8-kg uniform disk of radius 200 mm is welded to a vertical shaft with a fixed end at B. The disk rotates through an angle of 3° when a static couple of magnitude 50N.m is applied to it. If the disk is acted upon by a periodic torsional couple of magnitude Tm=60N.m. determine the range of values of vf for which the amplitude of the vibration is less than the angle of rotation caused by a static couple of magnitude Tm.arrow_forward
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