5. A block is attached to a horizontal spring. Find a model for the displacement as a function of time given the following conditions:a. At time \( t = 0 \), the block is pulled to the left 6 cm with a frequency of 2 Hz.b. At time \( t = 0 \), the initial displacement is 0 inches (moving to the right), the amplitude is 15 centimeters, and the period is 1 sec.**Diagram Description:**The diagram depicts a spring-mass system. A spring is shown attached to a block on a horizontal axis. The axis is marked with a scale from -3 to 3 with the zero position as the equilibrium point. The block seems displaced, extending the spring.

Name: 5. A block is attached to a horizontal spring. Find a model for the d
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: 5. A block is attached to a horizontal spring. Find a model for the displacement as a function of time given the following conditions:a. At time \( t = 0 \), the block is pulled to the left 6 cm with a frequency of 2 Hz.b. At time \( t = 0 \), the i

Lagrangian equation : Lagrangian mechanics is a version of classical mechanics that was developed in…

Science

Physics

5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz.

5. A block is attached to a horizontal spring. Find a model for the displacement d as a function of time given the following conditions: a. At time t = 0, the block is pulled to the left 6 cm with a frequency of 2 Hz.

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

A 5-kg block is suspended from a vertical spring whose module is 500 N/m. There is no damping nor external forces acting on the system and neglects the effect of air resistance. Given an initial velocity of 10 m/s; 2.a. How far should the initial displacement in meters from the neutral position be, such that the mass traverses over a total range of 4 m? 2.b. How long in seconds is the period of the vibration? 2.c. How far in meters is the object from equilibrium at 7-second mark? 2.d. How fast in meters/sec is the object at 7-second mark? 2.e. Is the object SLOWING DOWN or SPEEDING UP at 7-second mark? Explain why.
A mass of 0.407 kilograms is oscillating horizontally on a spring. Its position is given by the equation x = [0.108 sin (9.24t + 0.82) + 0.683] m. a. What is the spring constant of the spring? Include units in your answer. b. The velocity of the mass is another sinusoid, which also can be modeled using the equation v = [A sin (Bt + C) + D] m/s. What are those values? Do not bother with units.A: B: C: (between 0 and 2?)D: c. The acceleration of the mass is yet another sinusoid, which again can be modeled using the equation a = [A sin (Bt + C) + D] m/s/s. What are those values of A and C? Do not bother with units. Hint: For A, consider Newton's second law of motion. A: C: (between 0 and 2?)Note that the values of B and D for the acceleration equation are the same as the values of B and D for the velocity equation. PLEASE ANSWER IN HANDWRITING THANKS!!!!
A pendulum swings back and forth from a string. When it is lying motionless it is y=6 ft from a nearby wall. When the pendulum is furthest from the wall, it is 9 ft. It takes 20 seconds to complete one cycle. Suppose you start timing the pendulum when it is furthest from the wall.a) Sketch a graph of this situation. b) Write an equation of this sinusoidal.
1. The clordinates of a particle's motion are sinusoidal over time. Which of the following best describes the particle's motion? A. Projectile motion B. Uniform circular motion C. Zero acceleration motion D. Constant translational motion 2. A system completes one oscillation in 16 seconds. What is its angular frequency? A.0.063 Hz B. 0.39 rad/s C. 2.5 Hz D. 100 rad/s 3. If spring is stiff, then the value of k is? A. Moderate B. Small C. Large D. Zero 4. How will the period of an oscillating system change if its angular frequency is increased by a factor of four? A. Decrease by factor of 2π/4 B. Increase by a factor of four C. Decrease by 1/4 D. Increase by a factor of 2π/4
The maximum energy of a vibrating mass is 3.00 x 10^-2 joules. The amplitude of oscillaiton is 2.50 mm with a frequency of 200 Hz. A. What is the mass of the object? B. What is the maximum acceleration of the object? C. If the mass affects the vibration frequency (like that of a mass and spring system), what should the mass be to double the maximum energy? Assume that the oscillation amplitude is not affected.
A stretched string of length L is fixed at both ends. It is plucked halfway along its length by producing an initial displacement h and then releasing the string. The expression for the string displacement at time t=0 is given by Select one: a. y(x, 0) = 4hx/L ob. O C. ≈ 4h(L-x)/L y(x, 0) = 2hx/L = 2h(L-x)/L y(x, 0) = 3hx/2L ≈ 3h (L-x)/2L d. y(x, 0) = 4hx/L ≈ 4h(L-x)/L 0
The motion of a body is described by the equation 3.25 sin (0.320πt), where t is in seconds and y is in meters. a. Find the frequency. b. Find the displacement at t = 3.50 s. c. Find the displacement at t = 25.0 s.
The human eardrum responds to sound by vibrating. If the eardrum moves in simple harmonic motion at a frequency of 2.88 kHz and an amplitude of 0.132 nm, what is its maximum speed of vibration? in. μm/s
A block whose mass m is 680 g is fastened to a spring whose spring constant is 65 N/m. The block is pulled a distance 11 cm from its equilibrium position on a frictionless surface and released from rest. What is the frequency of the resulting motion? A 9.8 Hz B 3.12 Hz (c) 1.56 Hz 0.64 Hz
Amplitude Q23.a. Find the values of rise time (tr), peak time(tp), settling time(ts) and maximum value from the following figure. (2 Mark) Step Response 1.8 1.7 1.6 1.5 1.4 1,3 1.2 1.1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 2 3 Time (sec) 13 14 15 16 17 16 19 N0 10 11 12 b. What is the function of bridge circuit? Draw the circuit diagram and equations for balanced condition of Wheatstone bridge. (2 Mark)
A spring with k= 735N/m hangs vertically and supports a 7.5kg mass at its end.The mass is hanging with no motion at all until a person pulls the mass down by 6.5cm from where it was resting.The mass then begins a vertical simple harmonic motion. a.What is the spring force acting on the mass before it is pulled down by 6.5cm? b.What is the acceleration of the mass after it is pulled down by 6cm(and let go)? c.What is the total energy of the spring system throughout its simple harmonic motion? d.What maximum gravitational energy will the mass gain?(using the bottom of its motion as the reference point). e.What maximum speedwill the mass reach?
A mountain climber, who has had physics in high school, figures out the gravity at his location in the mountains. He used a 400cm length of a string and found that with a rock tied at its end, its period as a pendulum was 1.39x10^-3 hour.a. What was the value of gravity at his location?b. How many vibrations per second will the pendulum make if gravity is 9.8m/s^2