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

is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². DO C.D Frontly у Your tasks: No Deflection m k Fg = mg Initial Condition y m k Write down an expression for the total energy If as the sum Write down an expression for the total energy H Fg = mg Figure 3: System schematic for Problem 4. Yi & X Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. as the sum of potential and kinetic energy in terms of y, y, yi C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of…
Damian’s car weighs 2000kg. The spring has a natural unstretched length of 2m and a spring constant of k = 80000N/m. Hooke's law can be written as T = kd. Where T is the tension force in newtons, k is the spring constant and d is the length in metres. Let x(t) be the position of the front of Damian’s car and let y(t) be the position of the back of Eva’s 4WD. We will assume that the position of Eva’s car is a known function of time. Q1 a) Create a sketch of the positions of the vehicles similar to the one given and add the positions x and y. b) What is the extension of the spring in terms of x(t) and y(t)? Be careful to take into account that the unstretched length of the spring is 2m.
One mole of a gas obeys the Ideal Gas Law PV = 20T, where P is pressure, V is volume, and T is temperature. If the temperature T of the gas is increasing at the rate of 5 °C/s and if, when the temperature is 80 °C, the pressure P is 10N/m? and is decreasing at the rate of 2- find the m2 . s rate of change of the volume V with respect to time.
A net force F = 6t? along the x-direction acts on an object of mass m = seconds and F is in Newtons). The object is initially at rest and the force acts on the object during the 3kg (t is time in %3| time interval 0
A:YV 36 ll 46.ll Test 3.pdf F1 F2 a F3 A d. C a F4 E Consider the following values: - F5 a = 12 m; b = 10 m; c = 10 m; d = 8 m; F1 = 6 kN; F2 = 7 kN; F3 = 8 kN; F4 = 9 kN; F5 = 10 kN; a = 30° 0 = 45° B = 60° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 111.6 kN.m b) 112.6 kN.m c) - 184.6 kN.m d) - 109.6 kN.m e) - 104.1 kN.m f) None of them 2] What is the resultant moment of the five forces acting on the rod about point B? a) -95.8 kN.m b) 42.7 kN.m c) 80.9 kN.m d) 10.9 kN.m e) 51.8 kN.m f) None of them 3] What is the resultant moment of the five forces acting on the rod about point C? a) 32.6 kN.m b) - 21.1 kN.m c) 17.4 kN.m d) - 16.5 kN.m e) 15.6 kN.m f) None of them 4] What is the resultant moment of the five forces acting on the rod about point D? a) 37.6 kN.m b) 73.8 kN.m c) 71.6 kN.m d) 52.1 kN.m e) 21.1 kN.m f) None of them 5] What is the moment of the force F2 about point E? a) 90.7 kN.m b) - 88.1 kN.m c) 54.6 kN.m d) 103.1 kN.m e)…
A pendulum in your house swings from one side to the other in a span of 0.8 seconds. How long is the string that is attached to the mass?
THERMODYNAMICS Prob 1. A piston weighs 4.3 kgs and has a cross sectional area of 450 mm2. Determine the pressure that is exerted by this piston on the gas in the chamber, as shown in the figure. Assume gravitational acceleration 'g' to be 9.81 m/sec?. Piston Gas Prob 2. Find the mass of air in a closed chamber measuring 35 ft x 20 ft x 10 ft, when the pressure is 17 Ib/in? and the temperature is 75°F. Assume air to be an ideal gas.
is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². No Deflection m k Fg = mg Initial Condition m k Fg = mg Figure 3: System schematic for Problem 4. Yi 8 Your tasks: A Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. B Write down an expression for the total energy H as the sum of potential and kinetic energy in terms of y, y, yi and element parameters. Will H change as the mass moves? C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of position, y, the initial…
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
Muscle 2 E Muscle 1 0₁29 1 dM1 dM₂ dw Ow W dDB Ow Hand Dumbbell The figure provides a free body diagram of several forces acting about the elbow joint (E) for an isometric elbow flexion exercise. In this case, the subject is holding a 279 N dumbbell (located dpB = 48 cm from the elbow) in a stationary position. W is the combined weight of the forearm and hand (28 N) and acts through the CG of this system (located dw = 19 cm from the elbow). The forearm is elevated from the horizontal, resulting in a 0w = 74 deg angle between the forearm and line of action of each weight. The force produced by Muscle1 is 964 N (with an angle of pull of 0M1 = 53 deg and an insertion length of dm1 = 5 cm from the elbow). Muscle2 has an angle of pull of 0m2 = 24 deg and an insertion length of dm2 = 8 cm from the elbow. What is the force magnitude of Muscle2 required to keep the elbow in a stationary position? You are allowed a 5% margin of error for rounding.
3. If the temperature of a certain amount of gas is held constant, the absolute pressure of gas varies inversely as its volume without change of state, and if for certain amount of gas, the absolute pressure is 20 psi (pound per square inch) when the volume is 40 liters, then find the volume when the absolute pressure reached 32 psi. 4. The electrical resistance of a wire varies directly as the length and inversely as square of radius. The resistance of a certain piece of wire of length 100 feet and radius 0.02 inch is 300 ohms. Find the resistance of the wire of the same material 2500 feet long and radius 0.05 inch.
Q2. A spring mass system has a natural frequency of 10 Hz. When the spring constant is reduced by 800 N/m, the frequency is altered by 45 percent. Find the mass and spring constant of the original system. (Ans : k 1146.9534 N/m, m 0.2905 kg)