A spring is pulled back 4cm below its equilibrium point and then released. If the spring has a period of 3 seconds, which of the following models the position of this spring after t seconds? Select one: O a. s(t)– 3sin ) O . s(t) = - 3cos2:) s(t) = - 4sin 2T s(t) = -4cos

A spring is pulled back 4cm below its equilibrium point and then released. If the spring has a period of 3 seconds, which of the following models the position of this spring after t seconds? Select one: O a. s(t)– 3sin ) O . s(t) = - 3cos2:) s(t) = - 4sin 2T s(t) = -4cos

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Q: A mass mis attached to both a spring (with given spring constant k) and a dashpot (with given…

Q: Answer each question appropriately. 29) Find the standard equation for the positions of a body…

A: Given d2sdt2 = a dsdt = v0 when t = 0 s = s0 when t = 0

Q: In the graph shown below, f(x) = x° +x2 - 6x and g(x) = 6x. Find the area of the shaded regions. 343…

A: Since you have posted multiple question. I supposed to do only first question as our company…

Q: A 5-kg mass is attached to a spring with a spring constant of k = 20 N/m. The mass is set in motior…

A: A 5-kg Mass is Attached To A Spring With A Spring Constant of K From The Equilibrium Position With…

Q: 3. A particle moves along the x-axis. At time t seconds, its acceleration is given by a = 4t + 67/2,…

Q: This is a differntial equations problem. A mass weighing 8 lb stretches a spring 2ft. Assume there…

Q: A spring with a 2-kg mass and a damping constant 2 can be held stretched 2.5 meters beyond its…

A: Given that a spring with a 2-kg mass and a damping constant 2 can be held stretched 2.5 meters…

Q: Letting y₁ (t) = 0(t) and y2(t) = 0'(t) = y₁ (t), show that equation (1) can be written as a system…

Q: A mass m is accelerated by a time-varying force e-ßt v3, where v is its velocity. It also…

A: The differential equation given is as follows:…

Q: You are given acceleration, initial velocity and initial position. a(t) = ( 4t? + t, 2, – 5t + 0)…

A: a→t=4t2+t, 2, -5t+0 Integrating with respect to t, we get v→t=∫a→t dt=∫4t2+t dt , ∫2 dt , ∫-5t…

Q: 4. A T meter long chain hangs from the top of a tall building as shown. If the linear density of the…

Q: A mass is attached to a spring, At time t = 0 second, the spring is stretched to a length of 10 cm…

A: Given: A mass is attached to a spring, At time t = 0 second, the spring is stretched to a length of…

Q: A certain mass stretches one spring 3 rigid support ū k₁ m Need Help? The first mass is set aside,…

A: Solution:-

Question

A spring is pulled back 4cm below its equilibrium point and then released. If the spring has a period of 3 seconds, which of the following
models the position of this spring after t seconds?
Select one:
O a.
s()– 3sin:)
O b.
(21
s(?) = - 3cos :)
21
s(t) = - 4sin
O d.
s(t):
= -4cos

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Help!!!!
The following equation describes the motion of a mass on a spring subject to damping, with a coefficient of friction c > 0: 2.1" + cr' + 3x = 0. For which values of c > 0 is the system: (b) Overdamped?
3. A simple pendulum is a weight on the end of a string or rod, which when given an initial push, swings back and forth under the influence of gravity. The period T of a pendulum is the time taken for two swings (left to right and back again). The formula for the period is T = 27 dT (a) Find d 9 where is the length of the pendulum (in meters) and g is the acceleration due to gravity (in m/sec2). Note that g is a positive constant. lo zulev lie (x)) (8) (b) When the length of the pendulum increases, does the period increase or decrease? Justify your answer. (0) al bar nob
22) Sandy manages a ceramics shop and uses a 650°F kiln to fire ceramic greenware. After turning off her kiln, she must wait until its temperature gauge reaches 160°F before opening it and removing the ceramic pieces. If room temperature is 80°F and the gauge reads 500°F in 11 minutes, how long must she wait before opening the kiln? Assume the kiln cools according to Newton's Law of Cooling: U = T+ (Uo - T)ekt. (Round your answer to the nearest whole minute.)
8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.) 2 (√4) x(1) - e -(5) [ - 14 cos (1) ( (VT),) - 134 sin(e) ((7),)] + 20 cos (3) +- 20 sin (38) = е 3 2 3√4t 2 3 3 ft
A force of 15 Newtons stretches a spring 20 centimeters. After a 3 kilogram mass is attached to the spring, the mass is pulled down to a position √3 meters below equilibrium and released with an upward velocity of 5 meters per second. Find a. The equation of motion. b. The amplitude, period, and phase shift of the simple harmonic motion.
*) Find y as a function of x if y" 11y" + 18y' = 32e*, y(0) = 29, y'(0) = 12, y"(0) = 22. y(x) =
ds Determine the speed at time t (assume units of meters and seconds). dt ( t- 1 (In(3r² + 3), 5t), ds m/s dt t = 1
4.4 11 11. A 0.2-kg mass is attached to a spring having a spring constant 5 kg/s2. The system is displaced 0.5 m from its equilibrium position and released from rest. If there is no damping present, find the amplitude, frequency, and phase of the resulting motion. Plot the solution.