What equations are involved for combination of dampers?
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What equations are involved for combination of dampers?
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- please give thorough explanation for understandingA mass weighing 1 lb is attached to a spring whose spring constant is 1.5 lb/ft. The medium offers a damping force that is numerically double the instantaneous velocity. The mass is released from a point 10 cm above the equilibrium position with a downward velocity of 2.3 m/s, Determine: 1. Time it takes for the object to pass through the equilibrium position. 2. Time in which the object reaches its extreme displacement from the equilibrium position. 3. What is the position of the mass at the instant calculated in part 2? 4. Graph the movement.Explain the concept of damping in your own words. Give examples of a situations that the average person might experience that exhibit underdamped behaviour and overdamped behaviour.
- A mass on a spring undergoes SHM. It goes through 10 complete oscillations in 5.0 s. What is the period? *What are the formulas for maximum displacement in an angle, amplitude , and total energy in the motion of a simple pendulum.The figure below shows the position graph of a mass oscillating on a horizontal spring. What is the phase constant φ。? 0 b. 0 rad C. π/ 2 rad d. IT rad e. none of these
- Item 15 15 of 25 Constant An object is moving in damped SHM, and the damping constant can be varied. Part A If the angular frequency of the motion is w when the damping constant is zero, what is the angular frequency, expressed in terms of w, when the damping constant is one-half the critical damping value? Express your answer in terms of w. ? Submit Request Answer Provide Feedback Next MacBook Air DII 80 888 F10 F7 FB F9 esc F3 F5 F6 F4 FI F2 %23 2$ & 8 9 3B7J2
- A uniform rod of length L is supported by a ball-and-socket joint at A and by a vertical wire CD Derive an expression for the period of oscillation of the rod if end B is given a small horizontal displacement and then released.True or False; if false, please explain why a) There are three classifications to damping: Overdamped, Critically damped, and Superdampedb) A system that is critically damped will return to rest faster than the same system when overdamped.c) Completely undamped simple harmonic motion is quite rare in the real world.d) A RLC series circuit is mathematically identical to a damped spring-mass oscillator.3. Below given figure shows a simple oscillator with damping. In this, a mass m is attached to a spring (spring constant k) and a damper with damping force proportional to -bv. The spring and the damper are attached to the walls on the opposite sides of the mass (see Figure). The oscillator can be driven either by moving an attachment point on the damper (Case I) or the end of the spring (Case II). In both cases, the position of the attachment point as a function of time is s(t) = so cos(wat). For BOTH of the above cases, answer each of the following questions. (i). Write the equations of motion of the mass m. (ii). Find the amplitude of steady state solution in terms of given parameters. P Figure: Two weays dn've an oiilator Cae I: mwwo m to Sct) cale II!