22-74. A bullet of mass m has a velocity of vo just before it strikes the target of mass M. If the bullet embeds in the target, and the vibration is to be critically damped, determine the dashpot's critical damping coefficient, and the springs' maximum compression. The target is free to move along the two horizontal guides that are "nested" in the springs.

Q: Problem A steady torque of 2.0 x 10-6 N m, applied to the suspension of a ballistic galvanometer (by…

A: G

Q: This problem is an example of critically damped harmonic motion. Amass m 4 kg is attached to both a…

A:

Q: (c) A string that is stretched under tension of magnitude t= 40 N has a linear density u of 64 g/m.…

A:

Q: A 150 g mass on a 45cm long string is released at an angle of 4.5° from vertical. It has a damping…

A:

Q: The machine is dropped from a height of 6 m. The system parameters are m=60 kg, c=# N.s/m, and…

A: Initial height of system x(0)=6 m, mass m=60 kg, spring constant k=54000 N/m, damping parameter s=3…

Q: A mass m 12 kg is attached to a spring with negligible mass and stiffnecs k=4N/m lying on a friction…

A: Given terms:

Q: A 68 kg heavy dishwasher runs at 245 rpm. Determine the minimum static deflection 43% isolation…

A: Given: The value of weight is 68 kg.             The speed is 245 rpm.             The percentage…

Q: For a damped simple harmonic oscillator, the block has a mass of 1.7 kg and the spring constant is…

A:

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

A: given  m = 2kg  now the driving force or the harmonic exciting force F = 35 sin 3t let c be the…

Q: Consider a quarter car model. Explain the effect of the damping ratio on the transmissibility ratio…

A: Quarter car model: The quarter car model is the simplest representation of a car that belongs to…

Q: The modal equations for a forced 2-degree-of-freedom damped system are given by: ä +2Çad, +ua - P(t)…

A: solution of the both part of question solved in below step.

Q: 5) A block-spring system oscillates in a simple harmonic motion on a frictionless horizontal table.…

A:

Q: A damped and driven oscillator has k = 3.0 N/m m =0.10 kg, b = 0.020 Ns/m with a driving force of…

A:

Q: The damped oscillations may defined as The energy of the oscillator may reduced each periodic time.…

A: Given- The damped oscillations may defined as

Q: 104. •••A bullet that has a mass of 10 g is fired at a speed of 150 m/s into a 2.2-kg block that…

A: Given that A bullet of mass (m) =10g =10x10-3kg =0.01kg Mass of the block(M) =2.2kg Spring constant…

Q: For a driven damped oscillator, show that the energy dissipated per cycle by a frictional force Fa =…

A: Answer:-                 Equation of motion x = A cos ωt…

Q: The damping force in a damped harmonic oscillator * is always proportioanal to the mass of the…

A: In damping oscillators, the damping force is acts as an external force, it slows down the motion of…

Q: A car presses the brake of its car by exerting a force of intensity of 60 N and direction…

A: Given:-  The force applied to the pedal F = 60 N direction perpendicular to the pedal.  The moment…

Q: The mass of 10 kg m given in the figure is thrown into a tube at a speed of 20 m / s. At the end of…

A: The displacement of a damped oscillator is given by, x(t)=x0 e-c2m te-i km2-c2m2 tset   c2m=δ and…

Q: Imagine that a 10-cm-diameter circular hole were drilled all the way through the center of the Earth…

A: The objective of this question is to demonstrate that the motion of an apple dropped into a hole…

Q: A particle is slightly displaced from rest in its position of equilibrium at the highest point of a…

A:

Q: A compressor of mass 1100 kg is mounted on a spring which deflects 10mm under the static load. The…

A: Given :                m = 1100 kg                ς = 10mm = 0.01 m                Amplitude = 6mm =…

Q: For a damped simple harmonic oscillator, the block has a mass of 2.1 kg and the spring constant is…

A:

Q: A 310 g mass vibrates according to the equation x = 0.4sin(6.5t), where x is in meters and t is in…

A: Given that-Mass of the object is 310g.Equation, x=0.4Sin6.5tWe know the equation-x=A.Sinωt

Q: a pan of mass mp = 0.2 kg is susper mm = 2.2 kg is dropped onto the meat makes a totally inelastic…

A: Givenk=400 N/mmp=0.2 kgmm=2.2 kgh=0.4 m

Q: (b) A block of mass, m = 0.40 kg is attached to a spring with force constant, k= 2.5 Nm' and damping…

A: Given:  x(t) = Ae-b2mtsinωt+φ0b = 0.56 kg/secm = 0.4 kgk = 2.5 N/mAt t =0, v = -0.6 m/s

Q: A block of mass, m = 0.40 kg is attached to a spring with force constant, k= 2.5 Nm' and damping…

A: Given:mass ofthe block, m = 0.40 kgforce constant of the spring, k = 2.5N/mdamping constant, b =…

Q: Does the damping force remain constant on a system executing simple harmonic motion?

A: Simple harmonic motion is the simplest example of oscillatory motion. When an object moves to and…

Q: A sphere moves in simple harmonic motion with a frequency of 1.20 Hz and an amplitude of 5.20 cm.…

A:

Q: Please explain why beta = 2omega is an example of a critically damping motion for a damped harmonic…

A:

Q: A system with 100g_mass and a spring constant of k=150N/m has a damping constant y=1.1. Assume the…

A: Concept used: For damped harmonic motion, in addition to a force directly proportional to…

Q: A viscously damped system has a damping ratio = 0.08 and natural frequency wr = 10.63 radians per…

A: