A block rests on a frictionless surface and is attached to the end of a spring.  The other end of the spring is attached to a wall.  The springs are stretched to the right by the distances shown in the figures and then released from rest.  The blocks oscillate back and forth. Rank the frequency of the oscillatory motion of the block.

Q: Gaseous nitrogen actuates a Carnot power cycle in which the respective volumes at the four corners…

A:

Q: Which of the following changes does not affect the period of a horizontal mass-spring system…

A: Solution:

Q: An automobile whose weight is 150 N and it is mounted on 4 identical springs due to its weight it…

A: given; automobile weight (w)=150Nmass (m)=wg                 =1509.81…

Q: A block of mass 25kg is attached to a pair of parallel identical linear springs on a floor each…

A: Mass of the block, (m)=25 kg. Spring constant, (k)=1000 N/m. Determine the time taken by the block…

Q: mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a…

A: m = 3/32 kg k = 3*4 = 12 F(t)=0

Q: 2. Determine the equivalent damping of the system.

A: Given Data⇒

Q: An accelerometer indicates that the acceleration of a body is sinusoidal at a frequency of 8 Hz . If…

A: As per our guidelines we can answer only the fire question. Kindly post the remaining questions in…

Q: An undamped 2.11 kg horizontal spring oscillator has a spring constant of 21.9 N/m. While…

A: Calculate the amplitude of the oscillation. 0.5 kA2 = 0.5mv2 21.9*A2 = 2.11*2.492 A = 0.773 m

Q: A piston of mass 2 kg vibrates in oil. The system has a harmonic exciting force of 35 N which…

A:

Q: Determine the natural frequency of free oscillations for the pulley system if the stiffness of the…

A: Ans Given Now draw the FBD of the pulley asNow take equilibrium in vertical direction as Now force…

Q: A particle is attached to a spring that creates a vibration with a frequency of 8 Hz. Determine the…

A: Given:

Q: Consider the mechanical system shown below with a dash-pot (the dash-pot produces a friction force…

A:

Q: 3. A spring with spring constant 20N/m is attached to a 5kg mass with negligible friction. Determine…

A:

Q: otor that turns at 12,000 rpm is suspended from above by a single spring to isolate the building…

A: Given:N=12,000fn=f4

Q: A diving board oscillates with simple harmonic motion of frequency 2.5 cycles per second. What is…

A:

Q: A harmonic motion has a frequency of 30 cycle/second and its maximum velocity is 10 m/s. Determine…

A: Given:f=30 hzvmax=10 m/s

Q: The maximum displacerment of a body moving with simple harmonic motion from its mean position is…

A:

Q: Pivot 3L

A: To determine the time period of a pendulum we will use concept of D' Alembert's principle given in…

Q: A horizontal spring is compressed by 15 mm when a force of 10 N is applied. A mass of 3 kg is…

A: Given:x = 15 mm = 0.015 mF = 10 Nm = 3 kg 1. a) Force constant:At the moment of compression, the…

Q: Ql: A carriage is moving on a sinusoidal road as shown in the figure, the velocity of the carriage…

A: Given:Velocity of empty carriage,V=0.3msDamping factor=0.5Initial Amplitude,AO=20cm=0.2mLet…

Q: certain mass-spring system oscillates with an amplitude of 5 mm when the forcing frequency is 20 Hz,…

A: The system is of spring mass system.The amplitude is , when forcing frequency is The amplitude is ,…

Q: The graph of one complete period of a sine or cosine curve is given. Find the amplitude, period, and…

A: Amplitude: The amplitude of the curve is the maximum displacement of the curve from its equilibrium…

Q: Determine the natural frequency

A: To find the natural frequency.

Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: When mass of 1.5kg is added to the spring, the spring elongates by 0.45m, this is known as…

Q: One of the following statements is TRUE of a simple pendulum performing small free oscillations: O…

A: Given :-  One of the following statements is TRUE of a simple pendulum performing small free…

Q: A block of mass M attached to a spring of constant k, oscillates back and forth with amplitude A. At…

A: Given: The mass of block = M  The mass of putty = m The initial amplitude of the mottion = A

Q: A mass hanging from a vertical spring and a simple pendulum each have a period of oscillation of 1…

A:

Q: For a 15 kg mass, a 300 N/m stiffness spring is used. An initial 60-centimeter displacement is…

A:

Q: Consider the spring mass system shown in Figure Task 2b. It has a mass, m of 4 kg and the spring…

A:

Q: Problem 7: A 2 kg mass is hung from the end of a helical spring an vibrating vertically. The mass…

A:

Q: ii. A mass spring system has three springs and mass m. Determine the equivalent spring stiffness,…

A:

Q: An object is in simple harmonic motion, Its angular velocity was 1.7 rev/s and the maximum…

A:

Q: Find the periodic-time (T) of a simple pendulum if its natural frequency ( and length is 2 m.

A: Let T =Time period of pendulum  l =Length of pendulum=2m g = acceleration due to gravity =10m/s2 As…

Q: In the shown figure, let m1 = 1 kg, m2 = 2 kg, k1 = k3 = 100 N/m and k2 = 200 N/m. Write the…

A: Draw the free-body diagram of the block 1 and 2,

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,