A damped harmonic oscillator is characterized by m = 0.2 kg, k = 80 N.m and damping constant b = 0.072 kg/s. How long does it take for the amplitude to decrease to half its original value? What is the period? Angular frequency of oscillation? Damped harmonic bt k b² motion can be expressed as, x = Xme¯2m cos(w't + Ø),w' = m 4m²

What is the phase constant (from 0 to 2π rad) for the harmonic oscillator with the velocity function v(t) given in the figure if the position function x(t) has the form x = xmcos(wt + p)? The vertical axis scale is set by vs = 5.00cm/s. Number 1.57 v (cm/s) -15 Units rad

tatus: QUESTION 38 The figure shows x(t) curves for three experiments involving a particular spring-box system oscillating in SHM. Rank the curves according to the spring's potential energy at time t=0, greatest to least. Xx O A. 3, 2, 1 O B. 1, 2, 3 O C.1=2=3 O D.3, then 1=2 O.E. 1=2, then 3 nit. Click Save All Answers to save all answers. MacBook Air

O Macmillan Learning A small bolt with a mass of 27.0 g sits on top of a piston. The piston is undergoing simple harmonic motion in the vertical direction with a frequency of 1.45 Hz. Use g = 9.81 m/s² for the acceleration due to gravity. What is the maximum amplitude Amax with which the piston can oscillate without the bolt losing contact with the piston's surface? Amax = m

s= If a particle undergoes SHM with amplitude 0.19 m, what is the total distance it travels in one period? Express your answer using two significant figures. ΜΕ ΑΣΦ ? B

52. • Structure of a virus. To investigate the structure of BIO extremely small objects, such as viruses, the wavelength of the probing wave should be about one-tenth the size of the object for sharp images. But as the wavelength gets shorter, the energy of a photon of light gets greater and could damage or destroy the object being studied. One alternative is to use elec- tron matter waves instead of light. Viruses vary considerably in size, but 50 nm is not unusual. Suppose you want to study such a virus, using a wave of wavelength 5.00 nm. (a) If you use light of this wavelength, what would be the energy (in eV) of a single photon? (b) If you use an electron of this wavelength, what would be its kinetic energy (in eV)? Is it now clear why matter waves (such as in the electron microscope) are often preferable to electromagnetic waves for studying microscopic objects?

A2.51 kg mass is attached toa spring. In the absence of damping, its maximum speed is 1.64 m when its amplitude is 12.5 cm It is then immersed in a damping fluid. At what angular frequency should it be driven so its speed is a maximum? rad/s Please give me correct and exact ans if your answer is wrong I surely gives u downvote so if u don't know how to solve please skip correct answer gives u likes

A box of a certain mass is attached to a spring of spring constant 7.0 N/m and experience simple harmonic motion with an amplitude of 0.2 m. When the position of a box is at 0.4 A its speed is measured to be + 0.25 m/s. (Hint: x(t) = Asinwt). Calculate the angular frequency (w). А. 3.46 Hz B. 2.72 Hz C. 4.22 Hz D. 1.36 Hz

A 10.kg-block is attached to a spring of spring constant, k = 400. N/m, and undergoes simpleharmonic motion along a frictionless, horizontal tabletop. A second 6.0-kg block sits on top of the firstblock as shown. The coefficient of static friction between the two blocks is µs = 0.13. What is thegreatest amplitude the blocks can undergo without the second block sliding off?

tion Status: 2, then 3 QUESTION 39 A simple harmonic oscillator consists of a block of mass 3.10 kg attached to a spring of spring constant 480 Nim. When t=1.10s, the position and velocity of the block are = 0.181 m and v= 4.410 m/s. What is the amplitude of the oscillations? OA.0.3979 m OB.0.4311 m OC.0.3235 m OD.0.1265 m OE. 0.5263 m nt is maximum when the