find the frequency V of natural longitudinal vibrations of the rod
Q: A captive James Bond is strapped to a table beneath a huge pendulum made of a 2.0-m-diameter uniform…
A: Speed seems to be the pace at which an item moves along a route in time, whereas velocity is the…
Q: A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and…
A: The spring constant of the spring is 3 N/m. The mass of the attached object is 2 kg. The damping…
Q: m We can make a simple model of a string on a musical instrument by considering the string to…
A:
Q: A 48 g particle undergoes SHM with an amplitude of 2.2 mm, a maximum acceleration of magnitude 9.0 x…
A:
Q: A tiny spider of mass 0.4 · 10−2 kg sits on its web, which hangs almost horizontally between two…
A: A spider with a masshanging through a web string.The web rapidly vibrates with a frequency ofAlso…
Q: Engineers can determine properties of a structure that is modeled as a damped spring oscillator,…
A: Given that Mass of the body (m) =0.245kg Resonant frequency (fo) =30.2Hz Then the spring constant…
Q: Suppose you have a 0.693 kg object on a horizontal surface connected to a spring that has a force…
A: It is given that, x=0.0049880339 mA=2x=0.0099760678 mk=177 N/mm=0.693 kgμk=0.0786
Q: A projectile is fired at a velocity of 100 m s-¹ at an angle of 36° to the horizontal as shown…
A:
Q: plane is roughly modeled as a mass-spring- = 2500 kg, -60 rad/sec, and k=8×1
A: Transmissibility can be defined as the ratio of force transmitted to the unbalanced force. The…
Q: A copper rod (length = 2.74 m, radius = 4.72 x 103 m, Young's modulus 1.1 x 1011 N/m²) hangs down…
A: The young modules of the rod is given as, Here L is the length of the rod, A is the area , Y…
Q: An object of mass m is suspended at the end of a massless wire of length L and area of cross-section…
A: An object of mass m is suspended at the end of a massless wire of length L and area of cross-section…
Q: You should have found that the gravitational force is a linear restoring force. Consequently, in the…
A: Given Data:Diameter Hence, radius Mass of the asteroid To Determine:The time taken to get to the…
Q: A particle with a mass of 2.5 x 10-20 kg is oscillating with simple harmonic motion with a period of…
A:
Q: A 1.50-kg block on a horizontal frictionless surface is attached to a horizontal spring with spring…
A:
Q: In critically damped free vibration of SDF system, why Ccr=2mWn ?
A: Let ccr be the value of c when the system is critically damped.Write the equation of motion for the…
Q: A 10kg load suspended by a brass wire 10m long is observed to vibrate vertically in SHM at a…
A: The frequency (f) of the load is given. Write the expression for the frequency of a vibration, and…
Q: For y = – 10 cos(x) + 5, the midline is y = %3D the amplitude is
A: Solution :- Y=-10cos(x) +5 Now compare it with Y = Acos(bx-c) +d A=-10 Amplitude |A|= 10
Q: Problem 16: Part (a) Express the resonance angular frequency, ω0, in terms of L and C. ω0 =…
A:
Q: A particle of mass 3.00 kg is attached to a spring with a force constant of 300 N/m. It is…
A:
A copper rod l = 1m long is fixed in the middle. Assuming Young's modulus E = 100 GPa, find the frequency V of natural longitudinal vibrations of the rod
Step by step
Solved in 3 steps
- Problem 12: A mass m = 1.2 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 145 N/m and negligible mass. At time t = 0 the mass is released from rest at a distance d = 0.35 m below its equilibrium height and undergoes simple harmonic motion with its position given as a function of time by y(t) = A cos(ωt – φ). The positive y-axis points upward. Enter an expression for the velocity along the y-axis as a function of time, in terms of A, φ, ω, and t.what is the amplitude, phase constant, and postion at t=0s vx (cm/s) 60 30 0 -30 -60 3 6 9 12 t(s)A 2.00 - kg block hangs without vibrating at the end of a spring (k = 500. N/m) that is attached to the ceiling of an elevator car. The car is rising with an upward acceleration of g/3 when the acceleration suddenly ceases (at t = 0). (a) What is the angular frequency of oscillation of the block after the acceleration ceases? (b) By what amount is the spring stretched during the time that the elevator car is accelerating?
- A 0.490-m-long guitar string, of cross-sectional area 1.00 x 10 ^-6 m^2, has Young's modulus Y = 2.00 GPa. By how much must you stretch the string to obtain a tension of 19.9 N?The midpoint of a guitar string executes simple harmonic motion with motion following the form x(t) = A sin(wt + p). It has an angular frequency of w = 2.65 × 10³ s-¹ and an amplitude of A = 1.50 mm. Take the phase constant to be p = π/2.When a 4 kg mass is attached to a spring whose constant is 196 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f (t) = 12e−5t cos 7t is applied to the system. In the absence of damping, (a) find the position of the mass when t = π. (b) what is the amplitude of vibrations after a very long time?
- IC-3 A 167 gram mass is vibrating about its equilibrium position on the end of a spring as shown in problem SHM-8. While vibrating, the mass is observed to have a maximum speed of 0.500m/s and a maximum acceleration of 6.00m/s. At t0 the mass is at the equilibrium position with a velocity to the left. a) Find the numerical values for the angular frequency o and the amplitude of the motion xm. Hint: think about how Vm and xm are related. b) Find the value of the spring constant of the spring. c) The position of the block is described by x Xmcos(@t+0,). Find all possible values of 0, and then explain how to determine the value of 0, that corresponds to the given conditions. 99+ hpA cubic meter (1.00 m^3) of water with bulk modulus 2.2x10^9 Pa is collected from the ocean's surface, where the atmospheric pressure is 1.0x10^5 Pa. It is brought 10.9 km below the surface in a container that can freely expand/contract, to the bottom of the Marianas Trench where the pressure 1.16x10^8 Pa. What is the volume of the water at this depth?Problem 5: Near the top of the Citigroup Center building in New York City, there is an object with mass of 3.2 × 105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven- the driving force is transferred to the object, which oscillates instead of the entire building. Part (a) What effective force constant should the springs have to make them oscillate with a period of 1.8 s in N/m? Part (b) What energy is stored in the springs for a 2.2 m displacement from equilibrium in J?
- A loudspeaker diaphragm is oscillating in a simple harmonic motion described by the equation d=acos(ωt) with a frequency of 614 Hertz (cycles per second) and a maximum displacement of 1.50 millimeters. Find ω and then determine the equation that describes the movement of the diaphragm.Asap plz...A 96 g particle undergoes SHM with an amplitude of 2.9 mm, a maximum acceleration of magnitude 7.3 x 103 m/s2, and an unknown phase constant φ. What are (a) the period of the motion, (b) the maximum speed of the particle, and (c) the total mechanical energy of the oscillator? What is the magnitude of the force on the particle when the particle is at (d) its maximum displacement and (e) half its maximum displacement?