A thin 2.00-m string of mass 50.0 g is fixed at both ends and under a tension of 70.0 N. If it is set into small- amplitude oscillation, what is the frequency of the first harmonic mode? O 52.9 Hz O 6.61 Hz O 26.5 Hz O 13.2 Hz

The midpoint of a guitar string demonstrates simple harmonic motion with motion following the form x(t) = A sin (wt +ϕ). It has an angular frequency of w = 2.65 x 103 s-1 and an amplitude of A=1.50 mm. The phase constant is ϕ= pi/2. What is the maximum magnitude of the acceleration of the string?

A particle oscillates according to x = Acos(wt + 6) Determine the phase constant 8 if the particle starts from the equilibrium position. O 0.982 and 4.12 O 1.57 and 4.71 O 2.16 and 5.30 O 0.568 and 3.71

There are two initial conditions associated with the simple harmonic motion differential equation. What is the meaning of this initial condition: x' (0) = B? O initial frequency O initial period O initial displacement O initial velocity 立

What is the frequency of the simple harmonic motion of a mass hanging from a spring, where k = 500 N/m and a mass=5kg.

A mass is placed on a frictionless, horizontal table. A spring (k=175 N/mk=175 N/m), which can be stretched or compressed, is placed on the table. A 3.5-kg mass is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=7.0 cmx=7.0 cm and releases it from rest. The mass oscillates in simple harmonic motion. Find the position, velocity, and acceleration of the mass at time t=3.00 st=3.00 s. x(t=3.00 s)=x(t=3.00 s)=  cm v(t=3.00 s)=v(t=3.00 s)=  cm/s a(t=3.00 s)=a(t=3.00 s)=  cm/s2

A small bird's wings can undergo a maximum displacement amplitude of 4.50 cm (distance from the tip of the wing to the horizontal). If the maximum acceleration of the wings is 34.7 m/s^2, and we assume the wings are undergoing simple harmonic motion when beating, what is the oscillation frequency of the wingtips? ____________Hz

The position of a particle is given by the expression x = 6.00 cos (4.00nt + 2π/5), where x is in meters and t is in seconds. (a) Determine the frequency. Hz (b) Determine period of the motion. S (c) Determine the amplitude of the motion. m (d) Determine the phase constant. rad (e) Determine the position of the particle at t = 0.350 s. m

A particle oscillates according to  x = Acos(ωt + δ) Determine the phase constant δ if the particle starts from x0 = −A.

A mass of 1.42 Kg is connected to a spring of spring constant 8.71 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.522 m before release and the oscillator moves in air. The oscillation decays to 18.2% of the original amplitude in 58.2 seconds.  A=0.241m at 26.38 seconds.  b=8.31*10^-2 kg/s.  Energy lost = 1.15J   a.  What would the position of the oscillation be 26.38 seconds after release?