If possible, express your final answer in the form u(1) = Rcos(@,t – 8). 4. A 10-kg mass is attached to a spring having a spring constant of 140 N/m. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction and with an applied external force F(t) = 5 sin t. Find the subsequent motion of the mass if the force due to air resistance is -90ù N.

If possible, express your final answer in the form u(1) = Rcos(@,t – 8). 4. A 10-kg mass is attached to a spring having a spring constant of 140 N/m. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction and with an applied external force F(t) = 5 sin t. Find the subsequent motion of the mass if the force due to air resistance is -90ù N.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Read and analyze each word problem and give what is/are required. Write the detailed solution If possible, express your final answer in the form u(t)= Rcos(@,t – 8). 2. A spring is stretched 3 in by a 5-Ib weight. Let the weight be pulled down 4 in below equilibrium and then given an upward velocity of 8 fps. Describe the motion, then find the maximum displacement of the motion.
Poblem 2 Consider the elastic pendulum shown in tbhe figure below. The pendulum con- sists of a bob of mass m, connected to a spring of spring constant k Let la be the letngth of the spring at equilibrium, and r be the elongation. The bob is free to mowe in 3D. 1. Caleulate the degrees of freedom of the block 2. What is the kinetic encrgy of the block 3. What is the potential energy of the block 4. Write the Lagrangian function (don't derive the Euler Lagrange oqua- tiots) E
Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w. (See the figure below and the Video.) Assume that w is a function of the sign width, b, sign height, h, wind velocity, V, air density, p, and an elastic constant, k, for the supporting pole. The constant, k, has dimensions of FL. Develop a suitable set of pi terms for this problem. SPEED LIMIT 40
Please can some one explain to the way and the equations that i need to follow in order to solve this quesitonnn Go to a playground where there is a swing. Accelerate the swing and determine the swing time. Then have someone sit on the swing and again determine the swing time. Repeat the attempt, but now let the person stand on the swing. Will the swing time be the same in all trials? Try to hypothesize the reason for any similarity or dissimilarity. How can the hypothesis be tested?Please consider a detailed solution and a good handwriting.THanks in Advance!
Com 2. In the figure above, the length Lof the uniform bar is 4 m and its weight is 250 N. Also the block's weight W is 350 N and the angle e = 300. The wire can withstand a maximum tension of T, which depends on wire diametergiven in Eq. 1. The wire is cut by being lit with a candle placed at a certain height from the bar and the change in the diameter of the wire with respect to time is given as Eq. 2. Ti+1 = Ti - 5+ dị+1 + 500 di+1 = di - 0.01 * At a.) Assuming maximum tension is 500 N and initial wire diameter is 10 mm, calculate the maximum possible distance x (x0=0, xi+1=xi+Ax) before the wire break by using necessary. (At=1sec., Ax=0.01m) b.) With the block placed at x=0.5m, what are the horizontal and vertical components of the force on the bar from the hinge at A? (Please check whether the wire is broken ornot before the block reaches to x=0.5 m. If the wire breaks, write "the wearis broken at x ="
Pls help ASAP. Pls show all work and calculations and include units for final answers.
questions are related to SMH How are swinging pendulums and masses on springs related? Why are these types ofproblems so important in Physics? What is a spring’s force constant and how can you measureit? What is linear regression? How do you use graphs to ascertain physical meaning fromequations? Again, how do you compare two numbers, which have errors?
on a separate paper. It should be approximatel ge in length and include brick ons of what you did, your obsery ons. esults, and an analysis of your data, of error. 1. a. On the axes to the right draw a graph of the period of a pendulum as a function of its length. LENGTH (m) b. Explain the shape of the graph you have drawn. Is it linear or curved? Why? Figure 11-2 C. If you wanted to double the period of a pendulum, what change would you make to its length? Explain using two points on the line you have drawn (L₁, T) and (L₂, T) where T₂ is 2 x T and the required change in length is accurately represented. PERIOD (s)
A weight attached to a spring is pulled down 2 inches below the equilibrium position. Complete parts (a) and (b) below. (a) Assuming the period is 5 second, determine a trigonometric model that gives the position of the weight at time t seconds. s(t) = (Simplify your answer. Type an exact answer, using as needed.) (b) What is the frequency? The frequency is oscillations per sec. (Simplify your answer.)
Pls help ASAP. Pls show all work and explain thoroughly on what equation is being used and how you come up with the answer. Also, pls underline or square the final answers.
Consider a pendulum whose length is 22 ft. What is the formula for the period of oscillation for a pendulum? (Use the following as necessary: L for the length of the pendulum and g for the acceleration of gravity. Do not substitute numerical values; use variables only.) T = 2√ Determine the period in s. 4.4 x Your response differs from the correct answer by more than 10%. Double check your calculations. s What is the formula that shows the relationship between the natural frequency and the period of oscillation? (Use the following as necessary: T. Do not substitute numerical values; use variables only.) f = Determine the natural frequency in Hz. 0.227 Your response differs from the correct answer by more than 10%. Double check your calculations. Hz
Find the systems that provide the features given in the following. Explain sufficiently why it provides the features. If there is no such system, explain why. i) Linear, autonomous, time invariant, 1st order and to a parameter a E R A system that is in the right place correctly: one at the bottom for a 0. ii) A nonlinear, autonomous, time invariant, order 1 system with equilibrium points based on a parameter a E R: one for a 0.