11. (a) A spring is stretched 10 cm by a force of 3 newtons (N). A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 N when the velocity of the mass is 5 m/s. If the mass is pulled down 5 cm below its equilibrium position and given an initial downward velocity of 10 cm/s, determine its position y at any time t. Find the quasi-frequency and the ratio of to the natural frequency of the corresponding undamped motion. (b) Draw a phase portrait of the equivalent dynamical system that includes the trajectory corresponding to the initial value problem in part (a).
Q: The equation describing horizontal motion of the mass m attached to a spring is given by:…
A: Given: Equation of horizontal motion x = 6 cos7t + 7π time, t = 3 second To Find: Magnitude of…
Q: Consider the system below consisting of a rough surface, three masses, a massless string, and a…
A: Given Data: Let us consider the given masses of the blocks are, ma=12.5kgmb=15kgmc=13.5kg The…
Q: A 5 kg box rests on a tabletop. On one side, it compresses a spring with a stiffness of 1000 N/m by…
A: mass of box (m) = 5 kg spring constant (k) = 1000 N/m compression (d) = 1 cm = 0.01 cm
Q: A 50-kg pneumatic hammer is fitted with a shock absorber at the top to lessen the impact on the i…
A: Given, Mass of the pneumatic hammer, m = 50 kgThe vertical displacement of the hammer as a function…
Q: Problem 3: A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring…
A: a) Fspring = -kx b) Wspring = -kx dx c) Integrating with Limits x = 0 to x = xf Wspring =…
Q: (a) Consider a particle of mass m projected upward with a velocity vo from the ground (taken to be…
A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…
Q: One end of a spring is attached to a wall and the other end is attached to a block of mass 3.45 kg.…
A: Given data: Mass (m) = 3.45 kg Spring constant (k) = 71.8 N/m Amplitude (A) = 30.9 cm = 0.309 m…
Q: An object with mass m is being held stationary on a ramp of angle by both the force of static…
A: We are given mass attached to spring. We are given spring constant and angle of inclination. We are…
Q: A 73-kg man stands on a spring scale in an elevator. Starting from rest, the elevator ascends,…
A:
Q: A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is…
A:
Q: A firefighter, whose mass (including clothing and equipment) is m = 105kg, hears the alarm and…
A:
Q: Three masses m1 = 3.5 kg, m2 = 10.5 kg and m3 = 7 kg hang from three identical springs in a…
A: To solve this problem, we need to consider the forces acting on each mass and apply Newton's second…
Q: You have a light spring which obeys Hooke's law. This spring stretches 2.78 cm vertically when a…
A: Answer: Given: Mass of the object m=2.70 Kg Spring stretched x=2.78 cm or 0.0278 m
Q: A force given by F(t) = (5t-1/3t^2)i N acts on a mass m = 4.2 kg for 15 s. If thecoefficient of…
A:
Q: A time-dependent force, = (9.20 - 3.80t) N (where t is in seconds) is applied to a 2.00 kg object…
A: Given,
Q: Given that the velocity of a particle in rectilinear motion varies with the displacement x according…
A:
Q: A 30 kg mass is hanging at rest on the 60o slanted, frictionless surface. The spring has been…
A: Approach to solving the question:Please see attached photos for detailed solutions. Thank…
Q: When a 0.111 kg mass is suspended at rest from a certain spring, the spring stretches 4.20 cm. Find…
A:
Q: A block with mass m₁ = 9.5 kg rests on the surface of a horizontal table which has a coefficient of…
A:
Q: Consider a 74.0-kg man standing on a spring scale in an elevator. Starting from rest, the elevator…
A:
Q: A bag is gently pushed off the top of a wall at A and swings in a vertical plane at the end of a…
A: In this case, position 1 is at A and the position 2 is at B. Use the work-energy theorem,…
Q: ). There is a constant force from the wind, F_wind, blowing to the right, so the mass is initially…
A: Given:- An object that has a mass M is hanging from a spring. a spring constant k mass M ganging at…
Q: The smooth particle has a mass of 108.23 g. It is attached to an elastic cord extending from O to P…
A: Given data:- The smmoth particle mass = 108.23 g The horizontal circular path r = 0.8sinθ m The…
Q: A 1.3 kg box is initially at rest on a horizontal surface when at t = 0 a horizontal force F =…
A: Given that:- Mass of the box=1.3kg
Q: What is x when the x-component of the jerk is zero? Express your answer in terms of some or all of…
A: Jerk is the rate at which acceleration changes. Differentiating acceleration with respect to time…
Q: The systems shown below are in equilibrium. If the spring scales are calibrated in newtons, what do…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: Computation. Three objects are connected as in the figure with mA=7 kg, mB=6.43 kg, and mc-11.4 kg.…
A:
Step by step
Solved in 8 steps with 14 images
- A mass, M = 8.6 kg hangs from a string of length L = 1.26 m. The ball is pulled back so the string makes an angle 12.16 degrees with respect to the vertical and the ball is released. The ball takes 0.69757232087945 seconds to reach its lowest point. Determine the Tension, T, in the string at the lowest point.Consider a 74.0-kg man standing on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.98 m/s in 0.500 s. It travels with this constant speed for the next 5.00 s. The elevator then undergoes a uniform acceleration in the negative y direction for 1.60 s and comes to rest. (a) What does the spring scale register before the elevator starts to move? (b) What does the spring scale register during the first 0.500 s? (c) What does the spring scale register while the elevator is traveling at constant speed? (d) What does the spring scale register during the time it is slowing down?A 81-kg man stands on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.2 m/s in 0.76 s. The elevator travels with this constant speed for 5.0s. undergoes a uniform negative acceleration for 1.6 s, and then comes to rest. (a) What does the spring scale register before the elevator starts to move? 793.6 (b) What does the spring scale register during the first 0.76s of the elevator's ascent? 021.7 (c) What does the spring scale register while the elevator is traveling at constant speed? (d) What does the spring scale register during the elevator's negative acceleration? 234
- A 76-kg man stands on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.2 m/s in 0.92 s. The elevator travels with this constant speed for 5.0 s, undergoes a uniform negative acceleration for 1.3 s, and then comes to rest. (a) What does the spring scale register before the elevator starts to move? (b) What does the spring scale register during the first 0.92 s of the elevators ascent? (c) What does the spring scale register while the elevator is traveling at constant speed? (d) What does the spring scale register during the elevator's negative acceleration? N.A mass is sliding on a frictionless surface with a speed v. It runs into a linear X spring with a spring constant of k, which compresses from position x, to position xp. X; m m ©theexpertta.com Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x;=0. = - kx v Correct! Fspring Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. W = - w = - kx dx v Correct! Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. W = - ( 1/2 ) k x2| 8 9 HOME d 5 6. a h j 1 2 3 P END - Xf Xị VOI BACKSPACE CLEAR DEL I give up! Submit Hint Feedback Hints: 1 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. |-What is the integral of x dx? Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xp= 68 cm, and k = 145 N/m. W = -…The diagram shows a simple pendulum consisting of a mass M = 1.19 kg suspended by a thin string with a length of I = 0.870 m. The mass swings back and forth between +00. T is the magnitude of the tension in the string. True v T equals Mg when e = e0. False The vertical component of tension is constant. True - T is greater than Mg for e = e0. |True T=Mg at some angle between zero and 00. True T depends on 0. True v T is largest at the bottom (0 = 0). True T is smallest when 0 = ±00. "between zero and 0" includes those angles as well. Submit Answer Incorrect. Tries 3/10 Previous Tries If 6, = 49.7°, find the maximum kinetic energy of the mass during an oscillation. Submit Answer Tries 0/10 Find the magnitude of the tension when the angle e = 00 = 49.7°. Submit Answer Tries 0/10 Find the magnitude of the tension when the angle e = 0.0°. Submit Answer Tries 0/10
- An ideal spring obeys Hooke’s law: F = −ikx.A mass of m = 0.8 kg hung vertically fromthis spring stretches the spring 0.13 m.The acceleration of gravity is 9.8 m/s2. Calculate the value of the force constant k. Answer in units of N/m.Pls help ASAPA mass m = 0.851 kg cart standing over a horizontal air track is attached to a string as it is shown in the figure. The string passes over a pulley of mass M=1.45 kg and radrus R= 40.4 cm (I=1/2 MR-) and is pulled with a constant force F, as shown in the figure. If the air passing through the track is turned off, wwhat is the magnitude of the constant force F that will accelerate the cart to an acceleration a 3.64 m/s-? The static and kinetic friction between the cart and the air-track are u, = 0.75 and 0.4 respectively (q715) aant a) 09.07 N b) 05.74 N c) O3.44 N d) O8.1 N
- A block weighing 14.0 N can slide without friction on an inclined plane at an angle of 40.0 degrees. At one end of the beam is attached a light spring which has a length when not stretched of 0.450 m and a spring constant of 120 N / m. determine the equation of motion of the block by taking the xy coordinates (horizontal x and y vertical)!There is a block loaded with two 0.5 kg masses and is pulled at constant velocity across the table but with an applied force that is parallel to the surface of the table. theta = 0 because the force is of the same diraction as the displacement. What are the magnitudes of the following forces: Fg FN FfConsider a 79.0-kg man standing on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.64 m/s in 0.500 s. It travels with this constant speed for the next 5.00 s. The elevator then undergoes a uniform acceleration in the negative y direction for 1.30 s and comes to rest. (a) What does the spring scale register before the elevator starts to move? (b) What does the spring scale register during the first 0.500 s? (c) What does the spring scale register while the elevator is traveling at constant speed? (d) What does the spring scale register during the time it is slowing down?