1. In the laboratory, when you hanged 100 grams at the end of the spring it stretched 10 cm.You pulled the 100-gram mass 6 cm from its equilibrium position and let it go at t = 0. Find anequation for the position of the mass as a function of time t.2. The scale of a spring balance found in an old Physics lab reads from 0 to 15.0 kg is 12.0 cmlong. To know its other specifications, a package was suspended from it and it was found tooscillate vertically with a frequency of 2.00 Hz. Calculate the spring constant of the balance?(b) How much does the package weigh?

Natural Frequency: When a body is at rest, even though it appears as it is not vibrating it vibrates…

1. In the laboratory, when you hanged 100 grams at the end of the spring it stretched 10 cm. You pulled the 100-gram mass 6 cm from its equilibrium position and let it go at t = 0. Find an equation for the position of the mass as a function of time t.

1. In the laboratory, when you hanged 100 grams at the end of the spring it stretched 10 cm. You pulled the 100-gram mass 6 cm from its equilibrium position and let it go at t = 0. Find an equation for the position of the mass as a function of time t.

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

Parvinbhai
If a 10 N force is used to compress a spring by 22 cm (i). What is the resulting spring constant? (ii). How much work is needed to compress the spring an additional 1.5 cm?
Hello, can you help me for this physics question? Can you please also show me the diagram that I can understand quickly? Thanks a lot! A 1500kg vehicle runs on a natural gas engine. The vehicle travels a distance of 9km on an ascending (rising) slope with a drop of 50m. Under the action of the motor, the speed doubles (it goes from v1 to v2 = 2 * v1). It is then measured that 28g of natural gas has been burned. Assuming that the engine efficiency is 65% and that friction is neglected, calculate one of the two speeds of the vehicle. Hint: Start by calculating the energy supplied by the combustion of natural gas. The answer is 5.4%
Q2: Consider a cylinder with mass m and radius r submerged partially or totally in a liquid of weight density p. Derive the differential equation that express the displacement of the water and find its solution if at t-0,(x = 0.2 m. Positive a-direction Equilibrium state Fquilibrium position x-0 Waler line 中

20 moles of a Van der Waals gas that initially occupies a volume V1=1.1 L at a temperature T1=285 K undergoes a cycle A-B-C-A as shown schematically in the figure. Part A-B of the cycle is done at constant temperature. The volume at point B is 1.6 times larger than it is at point A. How much work is done by the gas in this cycle if the parameters of the Van der Waals gas are a=25 L2*kPa/mol2 and b=0.027 L/mol?
An object of mass m and homogeneous structure given below is in equilibrium between two springs and a damper in the vertical direction. Under the influence of the disrupting force F(t), the system is set in motion. Here, the mass of the system will be taken as m=4 (kg), k1-95800 N/m and k2= 1706 (N/m), c=704 (Ns/m). a) For the case where the input of the request is F(t) and the output is y1, find the transfer function Y1(s)/ F(s). b) Calculate the zeros and poles of the system using the transfer function you found.. m K₂ F(t) K₁ A B Y₂
1. For your science fair project, you decided to design a model rocket ship. The fuel burns exerting a time-varying force on the small 2.00 kg rocket model during its vertical launch. This force obeys the equation F= A + Bt2. Measurements show that at t=0, the force is 25.0 N, and at the end of the first 2.00 s, it is 45.0 N. Assume that air resistance is negligible. a. What are the forces acting on the rocket? b. Draw its free-body diagram. c. Find the constants A and B, including their SI units using this equation F= A + Bt². d. Find the net force on this rocket and its acceleration the instant after the fuel ignites. e. Find the net force on this rocket and its acceleration 3.00 s after fuel ignition. f. Suppose you were using this rocket in outer space, far from all gravity. What would its acceleration be 3.00 s after fuel ignition? g. What is the rocket's mass in outer space? What is its weight?
The blood pressure in your heart is 1.52 x104 Pa. If an artery in the brain is 0.421 m above the heart, what is the pressure in the artery?
1:19 P N{ l 100% I A docs.google.com A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and is set to oscillate on a friction-less horizontal surface. At time t = 0 its position is xO = 0 and its velocity is vo = +5 m/s. If the displacement is a cosine function, x(t)=A cos(wt+p), then which answer is correct about the oscillation amplitude A and the phase constant,p,: A = 0.25 m, and p = - T/2 A = 0.5 m, p = 0 A = 0.5 m, and p = r/2 A = 0.5 m, p = -T/2 A = 0.25 m, and p = t/2 Other: A body oscillates with simple harmonic frictionless motion along the x-axis. Its displacement varies ith time according to x(t)=0.5 cos(Tt). The ues of the velocity (in m/s) and acceleration (in m/s^2) of the 8 II
Given the folowing mechanical system Using the energy method we are required to mathematically model the system, this achieved through the following steps. Solution 1- How many mechanical elements are in the shown in the image? 2- Fill in the given table for the kinetic and potential energies for the given example? Element Number Kinetic Energy Potential Energy U 4. 6. 3- Write the found kinetic and potential energies stated in the previous table in the following form T+U =C 4- Apply the time derivative to the found equation and find the differential equation Ə(T + U) - 0 at 5. Convert the found differential equation so that it has a unified single parameter using x= re 6- Apply the Laplace transform to the found differential equation, find the Laplace function f(s) knowing that x(0) = 0 & x(0) = 0 7- Apply the inverse Laplace transform to the f(s) equation, this is to find the final solution x(t)
Don't copy
The mass attached to the end of a helical pull spring statically forces the spring to pull, and 100 mm static elongation in the spring references The same mass is attached to the end of this spring, and the mass is released vertically from a height of 0.6 meters how many times does the force on the spring increase according to the static loading state when it is released? 4.32 O 4.87 5.36 5.12 18110140 O 4.60