A mass m is attached to a spring with a spring constant k and undergoes simple harmonicmotion. A mass m1 is now attached to m, and the period of oscillation is recorded as T1. Themass m1 is removed and a new mass m2 is attached to m, and the period of oscillation isrecorded as T2. What are masses m, m1 and m2 if k = 100N/m, T1 = 2.13s, T2 = 1.55s and ß =m2/m1 = 0.40?|

Name: A mass m is attached to a spring with a spring constant k and undergo
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: A mass m is attached to a spring with a spring constant k and undergoes simple harmonicmotion. A mass m1 is now attached to m, and the period of oscillation is recorded as T1. Themass m1 is removed and a new mass m2 is attached to m, and the period

Answered: Image /qna-images/answer/e12d9e5d-ab1b-4baf-97cd-569c9ece814e.jpg

Science

Physics

A mass m is attached to a spring with a spring constant k and undergoes simple harr motion. A mass m1 is now attached to m, and the period of oscillation is recorded as mass m1 is removed and a new mass m2 is attached to m, and the period of oscillati recorded as T2. What are masses m, m1 and m2 if k = 100N/m, T1 = 2.13s, T2 1.5 m2/m1 = 0.40?

A mass m is attached to a spring with a spring constant k and undergoes simple harr motion. A mass m1 is now attached to m, and the period of oscillation is recorded as mass m1 is removed and a new mass m2 is attached to m, and the period of oscillati recorded as T2. What are masses m, m1 and m2 if k = 100N/m, T1 = 2.13s, T2 1.5 m2/m1 = 0.40?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section12.2: Analysis Model: Particle In Simple Harmonic Motion

Problem 12.4QQ: An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is...

See similar textbooks

Similar questions

The expression x = 8.50 cos (2.40 t + /2) describes the position of an object as a function of time, with x in centimeters and t in seconds. What are the a. frequency, b. period, c. amplitude, and d. initial phase of the objects motion? e. What is the position of the particle at t = 1.45 s?
A simple pendulum has mass 1.20 kg and length 0.700 m. (a) What is the period of the pendulum near the surface of Earth? (b) If the same mass is attached to a spring, what spring constant would result in the period of motion found in part (a)?
We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
The angular position of a pendulum is represented by the equation = 0.032 0 cos t, where is in radians and = 4.43 rad/s. Determine the period and length of the pendulum.
An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is measured and recorded as T. The object of mass m is removed and replaced with an object of mass 2m. When this object is set into oscillation, what is the period of the motion? (a) 2T (b) 2T (c) T (d) T/2 (e) T/2
For each expression, identify the angular frequency , period T, initial phase and amplitude ymax of the oscillation. All values are in SI units. a. y(t) = 0.75 cos (14.5t) b. vy (t) = 0.75 sin (14.5t + /2) c. ay (t) = 14.5 cos (0.75t + /2) 16.3
Use the position data for the block given in Table P16.59. Sketch a graph of the blocks a. position versus time, b. velocity versus time and c. acceleration versus time. There is no need to label the values of velocity or acceleration on those graphs. TABLE P16.59
A 2.00-kg block hangs without vibrating at the end of a spring (k = 500. N/m) that is attached to the ceiling of an elevator car. The car is rising with an upward acceleration of g/3 when the acceleration suddenly ceases (at t = 0). (a) What is the angular frequency of oscillation of the block after the acceleration ceases? (b) By what amount is the spring stretched during the time that the elevator car is accelerating?
A 2.00-kg block hangs without vibrating at the end of a spring (k = 500. N/m) that is attached to the ceiling of an elevator car. The car is rising with an upward acceleration of g/3 when the acceleration suddenly ceases (at t = 0). (a) What is the angular frequency of oscillation of the block after the acceleration ceases? (b) By what amount is the spring stretched during the time that the elevator car is accelerating?
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?
A mass m is attached to a spring with a spring constant k and undergoes simple harmonic motion. A mass m1 is now attached to m, and the period of oscillation is recorded as T1. The mass m1 is removed and a new mass m2 is attached to m, and the period of oscillation is recorded as T2. What are masses m, m1 and m2 if k = 100N/m, T1 = 2.13s, T2 = 1.55s and β ≡ m2/m1 = 0.40?