When a delicate instrument that can be modeled as a spring mass damper system hits the ground after a fall and starts vibrating, the initial conditions for such a vibration is given by 17 a. x0 = 0, v0 = 0 b. x0 = h, v0 = velocity at the instant of impact C. x0 = height of rebound, v0 = velocity at the instant of impact %3D d. x0 = 0.5 h, v0 = 0; %3D

When a delicate instrument that can be modeled as a spring mass damper system hits the ground after a fall and starts vibrating, the initial conditions for such a vibration is given by 17 a. x0 = 0, v0 = 0 b. x0 = h, v0 = velocity at the instant of impact C. x0 = height of rebound, v0 = velocity at the instant of impact %3D d. x0 = 0.5 h, v0 = 0; %3D

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A vehicle moving horizontally gets a load of wind resistance acting in the opposite direction to the vehicle's motion F M cv? v is the horizontal speed of the vehicle. F is the thrust that comes from the vehicle engine c damping coefficient for wind resistance force (c =0.20 N.sec2/m2) M is the mass of the vehicle (M = 1000 kg) Using Newton's 2nd law, we get the equation of motion dv 1000- + 0,2 v² = F dt At steady state the speed of the car is vo = 30 m/s and thrust F, = 0.2 v3 = 180 N. If the car is moving at a speed around steady state v = vo + dv = 180 and F = F, + 8F, derive a linear differential equation connecting d(dv) ,8v and SF. dt
A force of F = 50 N is applied to the rope that causes the angle 0₁ = 60 degrees to keep the system at equilibrium. The N spring constant is k = 100 m B a 0₁ с a b с Variable Value 2 m 2 m 2 m F b Values for the figure are given in the following table. Note the figure may not be to scale. cc i❀O BY NC SA 2013 Michael Swanbom
3:01 令 مد فيزياء مرحلة ا. . . -> Misan University- Engineering College Petroleum Engineering Departme Subject : physicst. mid term exam Class 1" year Date 4/3/ 2021 Time : 1.5 hr Examiner: Assist Lec. Hanan Hashim Answer All Question then streched an 1) A 300 - additional 15cm and released. Find (a) the freuency of vibration (b) the period,and (c) the velocity and acceleration at a displacement of 20 cm. mass is hung from acoiled spring and it stretches 20 cm.it 21 a 1550-kg car moving at a constant speed of (900 km/hr) Its takes (16,000W)to keep it on alevel road. How much power is required to keep the car moving at the same speed up a hill inclined at an angle of 35° with horizontal? 3) A 50 -g block as in figure below is connected to a spring on a rough inclined plane that makes an angle of 30 with the horizontal.the block is pulled down the plane a distance A =10 cm.and is then released .the spring constant is 40 N/m and the coeffiecient of kinetic friction is 0,25.Find the speed…
Which of the following choices is correct.1 regarding the right sequence of combustion process phases of Sl engines špark ignition - combustion - turbulence - exhaust špark ignition - early fame development - flame propagation - flame termination Intake - compression - power - exhaust O Fuel injection - combustion - flame propagation - auto-ignition Ignition delay in spark ignition engine can .2 be defined as The period between start of injection .and start of combustion The period between spark onsets and start of combustion The period between spark onsets and actual change in pressure rise The period between spark onsets and start of auto-ignition Severe auto-ignition (knock) can effect the .3 :following parts of the engine The piston O Piston rings C Engine head O Head gasket O All of the above O
The following EOMS describe the behavior of an electric motor attached to a torsional spring and damper: [Li + Rz + vb = Vin(t) IÖ= k0b0 + T Importantly, the equations are coupled by the fact that 7 = k₁z and v₂ = k₂0. Here, L, R, kv, I, k, b, and kt are constants. z is the current in the motor, and is the angular displacement of the motor (clearly then, is the motor's angular velocity). Finally, the input to the system is vin (t). Your tasks: A Substituting in the coupling terms (7 = ktz and v k0) into the EOMs, write the state space form of the system x = Ax + Bu, assuming your states are x₁ = z, x₂ = 0, and x3 = 0. Clearly identify your matrices. B Assume that the desired outputs of the system (to be measured) are the current z, the angle and the input Vin all as separate elements in the vector y. Write the output equation y = Cx + Du. Hint: D will NOT be zero in this case. Clearly identify your matrices C Assume there is no stiffness to the spring (k = 0). Using w(t) to represent…
Damping force exist only if there is relative velocity between the two ends of the damper. Please explain
Answer LETTER B only. Given that the underdamped system is: 11.547e^-17.0785tcos(29.5808-0.5236)
a) Find c such that the vibration will be critically damped and find y(t). b) Find y(t) if c = 0.5 Cc. c) Find y(t) if c = 2 Cc. if the mass is pulled (3 cm) and released, M = 4 kg, K = 654 N/m. True Fouls Cc=100.3 C1=0.03 for part a C2=0.38 for part a C=51.15 for part b C1=0.03 for part b C2=0.017 for part b C=205 for part C1=-0.033 for part c C2=0.323 Cc=km
Biomechanies Il
QUESTION 3 Vibration absorber (also called tuned mass damper) is used to reduce* the vibration at the natural frequency of the original system. Consider a M-K system shown below. Original System x(t) Modified System x₁(1) X2(t) K K MA M 0000 M F(1) F(t) absorber K This system has a natural frequency at rad. The absorber mass and the spring are attached to the original system as shown in the figure, and the values are selected so that (1) the amplitude of the original mass, M. at the original natural frequency is zero, and (2) the new natural frequencies are moved away from the original natural frequency. The selection of absorber mass and stiffness, m and k, is easy. They have the same ratio as the ratio of the original system. That is, M/m = Klk. Find the transfer functions X1(s)/F(s) and X2(s)/F(s) before you can answer questions. What is the fundamental frequency (first natural frequency) of the modified system in rad/s? Use scientific notation with 3 signifincant figures. Omit…
The amplitude of vibration for the system is observed to decrease by 25% of its initial value after 5 cycles. If m=10^# and k=20#/in. Find c Everything under the initial drawing is my scratch work, please start with that if possible.
Question C Work from point 0 to when graph hits -2 again