Damping force on a spring mass system is proportional to which of the following quantities? a) Velocity b) Acceleration c) Displacement from mean position d) (velocity)2
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Damping force on a spring mass system is proportional to which of the following quantities?
a) Velocity
b) Acceleration
c) Displacement from mean position
d) (velocity)2
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- 2. The period of oscillation of a pendulum is T. How does the period of oscillation change if the pendulum is placed in an elevator which accelerates upward with magnitude of acceleration g? (It may help to imagine what happens if the elevator accelerates downward at g)Question 4 The frequency of a body moving with simple harmonic motion is doubled. If the amplitude remains the same, which of the following is also doubled? ABCD Time period Total energy Maximum velocity Maximum acceleration3) You suspend a rod from the pivot point as shown below. Calculate the distance "h" that results in the smallest period of oscillations. Rod Pivot CM
- A 8 kg mass on a spring (with spring constant k = 2 N/m) vibrates in simple harmonic motion. The time taken to complete 10 full oscillations is: A.) 356.2 seconds B.) 125.6 seconds C.) 922.6 seconds D.) 625.1 secondsWhich of the following is the best example of a critically damped system? O A) A car door that once opened stays open until you close it. B) A storm door on a house that when opened slowly closes again. C) A trap door that quickly slams shut once the trap is triggered. O D) A wild west saloon door that swings back and forth until it eventually stops.3. Write a differential equation in terms of displacement s to model the motion of a damped vertical spring with mass assuming Newtonian friction.
- 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!Question 5 10-y (cm) 0- 10 наш Time (s) 30 The graph shows the displacement of a harmonic oscillator with weak damping. The amplitude at t = 0 is 10 cm and the mass of the oscillator is 0.25 kg. What is the damping constant? Give your answer in kg/s to three significant figures.