A metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m 90 ✔ (b) What is the frequency of the oscillations (in Hz)? 1.44 Hz (c) What is the maximum speed of the cylinder (in m/s)? 1.81 m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? x = t m (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s².) m/s² (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? x = t m (g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)? (h) What is the speed of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium? m/s (1) What is the magnitude of the acceleration of the cylinder (in m/s2) when its position is equal to one-third of the maximum displacement from equilibrium? m/s²

A metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m 90 ✔ (b) What is the frequency of the oscillations (in Hz)? 1.44 Hz (c) What is the maximum speed of the cylinder (in m/s)? 1.81 m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? x = t m (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s².) m/s² (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? x = t m (g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)? (h) What is the speed of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium? m/s (1) What is the magnitude of the acceleration of the cylinder (in m/s2) when its position is equal to one-third of the maximum displacement from equilibrium? m/s²

Name: Please solve parts d to i A metal cylinder with a mass of 1.10 kg is a
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Please solve parts d to i A metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 mfrom its equilibrium position, held in place with

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

Related questions

Q: The magnitude of a component of a vector must be O less than or equal to the magnitude of the…

A: The magnitude of any component of a vector never greater than the magnitude of the vector. Only,…

Q: Draw the given vectors in a single graph using polygon rule and find the resultant of vectors A and…

A: In the polygon method the sum of two are more vectors as obtained by drawing an open polygon and…

Q: You first walk 10 m at an angle of 30° east of north. Then you walk 15 m at an angle of 45° south of…

Q: 11 For each lettered problem below, use a ruler and the vectors given at the left to accurately and…

Q: y A car is going around a circular track at a constant speed of 19.5 m/s. As viewed from above, the…

A: In a circular track centripetal force acts on a particle. The acceleration due to centripetal force…

Q: Vector i and vector L are drawn below. The norms of these vectors can be written as l| and L,…

A: Given: The vector p→ and L→ lie in X-Y plane and their magnitudes are p→ and L→ respectively.

Q: of magnitudes F₁ = 4.0 N, F₂ = 6.0 N, ON are applied to a block of mass initially at rest, at angles…

A: a )Fnet = 4cos25i + 4sin25j - 8i + 6cos35 i - 6sin35j = 0.54i - 1.75j |Fnet| = sqrt(0.54^2…

Q: for part c can you explain how you got each of the /E/ (last column)?

Q: Exercise 28.4O The figure shows, in cross section, several conductors that carry currents through…

A: Given : I1=3.5A, I2=6A, I3=1.9A The line integral of the magnetic field over a closed-loop is…

Q: Draw the missing unit vector for each of the Cartesian coordinate stems below. If the unit vector…

A: The missing unit vector can be found using Left hand Rule If we stretch our thumb, middle finger…

Q: Use the following cartesian coordinates for all problems in Part I. A = (4, 3, -6), B=(-8, -3, 4), C…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Two vectors in Cartesian coordinates have components A = (3, 3) and B=(2, y). A If the scalar…

Q: Which of the following is correct? O The only type of vector multiplication that gives a vector…

Q: Vector p and vector L are drawn below. The norms of these vectors can be written as Ip| and L,…

A: To answer the question, we will write each vector at the origin of the Cartesian coordinate system,…

Q: A river flows due south with a speed of 2.30 m/s. A man steers a motorboat across the river, his…

Q: Answer the following questions based on the Vector 1: 390 miles @ 22.6° N of East Vector 2: 336…

A: Vector 1 = 390 miles 22.6 N of eastVector 2 = 336 miles 59.6 W of NorthVector 3 = 80 miles due south

Q: You are given a vector in the xyxyxy plane that has a magnitude of 89.0 units and a yyy component of…

Q: Part (e) What is i • B? Part (f) What is j• B? Part (g) What is (3i - j) • B?

Q: Directions: Anytime a force vector is directed at an angle to the horizontal, the trigonometric…

Q: Add the following two vectors if Keep a few digits. A= 15 a= 20 degrees B=11N b= 40 degrees B. C= at…

Q: Assume that the two vectors d and 6 shown below lie in the plane of your phone/ computer screen.…

A: The direction of a⇀×b⇀ can be determined by the right hand rule. Given the cross product product…

Q: Find the sum of the given vectors. In total, you will find Rx, Ry, R and A (in standard position).…

Q: Please answer parts A and B

Q: L, B, & F are shown below. L = 46, B = 50, & F = 35. Let R = L + B – F. Determine the components of…

A: Given:-Three vector L = 46 B = 50 F = 35 Let R = L+B-F Find:-The component of the vector is given as…

Q: Part A How many people can fit into the Pentagon, which was once the largest office building in the…

Q: Procedure 4: Adding Vectors Graphically R Magnitude Angle V. V, 32° 6,65 cm 3.88cm l17° 5.85 cm14° A…

A: We will use the following formulas to determine the x and y components Vx=VcosθVy=Vsinθ **I will be…

Q: For Part C, how do you express that answer in Degrees

A: From last two parts, Vector G is given by G=3j^ We have to find direction in degrees

Q: Using Polygon Method, determine the magnit sured from the horizontal x axis. Refer to Fig. 2 belo…

A: Given:- Three vectors are given as shown in the figure Find:- using the polygon method find the…

Q: . In the figure to the right the small squares are each 1 m by 1 m. a) What are the components of a…

A: components of a = (-3,1) mcomponents of b = (1,3) mcomponents of c = (3,1) m

Q: Problem 1: You first walk 10 meters at an angle of 30 degrees East of North. Then, you walk 15…

Q: A relief airplane is delivering a food package to a group of people stranded on a very small island.…

Q: Now, find the angle 4 shown in the figure (Figure 3)in terms of 0₁ and a. Express your answer in…

Q: C. Find the resultant of the three vectors graphically if given these magnitudes: (Sate the…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: I don't understand this problem.

A: Let there be 2 arbitrary vectors r1 and r2 which in 3 dimensional Cartesian coordinates may be…

Q: nd the components of D-A-B ad the components of E--A+B and the components of F-3A+B hat is A. B? hat…

Q: (d) What would Jeff's speed be when he catches Dale? (e) What was Jeff's average acceleration during…

A: Given Dale is moving with speed u=150mi/hr Jaff initially he is moving with speed u'=150mi/hr And…

Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

Topic Video

Question

Please solve parts d to i

A metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m
from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the
x-axis, where x = 0 is the equilibrium position.)
(a) What is the spring constant (in N/m)?
N/m
90
✔
(b) What is the frequency of the oscillations (in Hz)?
1.44
Hz
(c) What is the maximum speed of the cylinder (in m/s)?
1.81
m/s
(d) At what position(s) (in m) on the x-axis does the maximum speed occur?
x = t
m
(e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s².)
m/s²
(f) At what position(s) (in m) on the x-axis does the maximum acceleration occur?
x = t
m
(g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)?
(h) What is the speed of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s
(i) What is the magnitude of the acceleration of the cylinder (in m/s2) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s²

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Can you help me solve the top problem? Part A
Can you answer Part C please
Part C Find the components of the vector c with length c = 1.00 and angle = 30.0° as shown in (Figure 1). Enter numerically, separated by a comma, the x component followed by the y component. ► View Available Hint(s) Cx, Cy= Submit ΨΠ ΑΣΦ Previous Answers *****
Please help with physics hw (see image, there are two parts to this problem)
magnitude of resultant recture = 4, determine the angle between the resultant vector and a horizontal line. Show work with steps please!
d sin 0m = m² What does each of the variables in this equation stand for? Make a sketch to illustrate the use of this equation. 1
The normalized 1s wavefunction (n = 1, l = 0) of any one-electron atom or ion can be written as 100 (r, 0, 0) = R₁0(r)Y(0,0) = Z3 παρ 3 where Z is the nuclear charge (number of protons) and a = πmpe2 €0h² (a) Construct an integral expression, in r, 0, and that can be used to determine the expectation value for the hydrogen atom potential energy, (V), and evaluate the integrals over and p. Be mindful of the integration volume element. En == e (b) Define x = Zr/ao and use this form to simplify the integral over r and evaluate it (using the tabulated integral provided above) to obtain an expression for (V). Your result should include a factor of V(a). Use the potential energy operator V(r) = where e represents the electron charge and is the permittivity of a vacuum. Express your result in terms of V(a) (that is, express it as something times V(a)). (c) The energy levels of one-electron atoms and ions can be written in terms of a as Z Z²e² (2²72²2) V (ao) = (E) 8περαon2 Using this and your…
● Find the commutator d [*] dx
Part A Which, if any, of the vectors shown in the figure are equal? (Figure 1) O Vectors A, G and B are all equal to one another and vector I is the same as vector L. O Vectors A, G and J are all equal to one another and vector I is the same as vector L. O Vectors I, L and É are all equal to one another and vector A is the same as vector G. O Vectors C, G and J are all equal to one another and vector I is the same as vector L. O Vectors I, F and L are all equal to one another and vector A is the same as vector J. Submit Request Answer Provide Feedback Figure 1 of 1> K
Fill the table below. Write down your answer on your notebook and check your work afterwards. N B. 30° 60° 80° 70° 7 Given Vector Corresponding Theta (0) (angle w/respect to + x - axis) Direction A C