(a) Explanation Given info: The mass attached to spring is 0.40 kg , the force constant is 26 N / m and the distance from which mass is released from rest is 3.2 cm . Write the equation for maximum speed of the mass. v max = A ω (1) Here, v max is the maximum speed of the mass. A is the amplitude of the motion. ω is the angular frequency of the motion. Write the equation for period of the motion. T = 2 π m k T 2 π = m k 2 π T = k m (2) Here, T is the period of the motion of the mass. m is the mass. k is the force constant of the spring. Write the equation for angular frequency of the motion. ω = 2 π T (3) Substitute ω for 2 π T in equation (2) to find the angular frequency. ω = k m (4) Substitute k m for ω in equation (1) to find the value of maximum speed v max (b) To determine The distance of the mass from the equilibrium position when the speed of the mass is half the maximum speed.

5th Edition

ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

See similar textbooks

Question

Chapter 13, Problem 51PCE

(a)

To determine

The maximum speed of the mass.

(b)

To determine

The distance of the mass from the equilibrium position when the speed of the mass is half the maximum speed.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13, Problem 50PCE

Chapter 13, Problem 52PCE

Students have asked these similar questions

For single-slit diffraction, calculate the first three values of (the total phase difference between rays from each edge of the slit) that produce subsidiary maxima by a) using the phasor model, b) setting dr = 0, where I is given by, I = Io (sin (10) ². 2

A capacitor with a capacitance of C = 5.95×10−5 F is charged by connecting it to a 12.5 −V battery. The capacitor is then disconnected from the battery and connected across an inductor with an inductance of L = 1.55 H . (D)What is the charge on the capacitor 0.0235 s after the connection to the inductor is made? Interpret the sign of your answer. (e) At the time given in part (d), what is the current in the inductor? Interpret the sign of your answer. (f) Atthe time given in part (d), how much electrical energy is stored in the capacitor and how much is stored in the inductor?

Close-up view etermine; The volume of the object given that the initial level of water in the measuring cylinder 23cm3. The density of the object. simple cell made by dipping copper and zinc plates into dilute sulfuric acid solution. A bull onnected across the plates using a wire. State what constitute current flow through the wire The bulb connected across is observed to light for some time and then goes out. State t possible asons for this observation. State two ways in which the processes named in question (b) above can be minimized t the bulb light for a longer period. ead is rated 80Ah. Determine the current that can be drawn continuously

Chapter 13 Solutions

Physics (5th Edition)

Ch. 13.1 - If the frequency of an oscillator is halved, by...Ch. 13.2 - Prob. 2EYU Ch. 13.3 - An object moves with simple harmonic motion about...Ch. 13.4 - Rank the four massspring systems in Figure 13-15...Ch. 13.5 - The total mechanical energy of an ideal...Ch. 13.6 - Rank the four pendulum systems in Figure 13-25 in...Ch. 13.7 - The amplitude of a damped oscillation decreases...Ch. 13.8 - When you drive a pendulum at a frequency f1, you...Ch. 13 - A basketball player dribbles a ball with a steady...Ch. 13 - A person rides on a Ferris wheel that rotates with...

Knowledge Booster

The maximum speed of the mass.

Solution Summary: The author explains the maximum speed of the mass, the force constant, and the distance from which it is released from rest.

The maximum speed of the mass.

The distance of the mass from the equilibrium position when the speed of the mass is half the maximum speed.

Want to see the full answer?

Chapter 13 Solutions